b.tech. [sem iii (me&ce)] quiz test-1 - weebly
TRANSCRIPT
Microsoft Word - fluid quiz-1_2012_APage-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) The space between two large inclined parallel planes is 6mm and is filled with a fluid. The planes are inclined at 30° to the horizontal. A small thin square plate of 100 mm side slides freely down parallel and midway between the inclined planes with a constant velocity of 3 m/s due to its weight of 2N. Determine the viscosity of the fluid. (Q.1) [5] Q2) Define the terms ‘buoyancy’ and centre of ‘buoyancy’. Explain the terms met-center and Met-centric height. (Q.13) [2+3]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
Academic/26 Refer/WI/ACAD/18
Page-2
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) State the Newton’s law of viscosity and derive the equation of viscosity? Explain the importance of viscosity in fluid motion. What is the effect of temperature on viscosity of water and air? (Q.2) [2+2+1] Q2) The velocity of the fluid filling a hollow cylinder of radius 0.1 m varies as u = 10 [1-(r/0.1)2]m/s along the radius r. The viscosity of the fluid is 0.018 Ns/m2. For 2 m length of the cylinder, determine the shear stress and shear force over cylindrical layers of fluid at r =0 (centre line), 0.02, and 0.1 m (wall surface.) (Q. 3) [3+2]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) In a closed end single tube manometer, the height of mercury column above the mercury well shows 757 mm against the atmospheric pressure. The ID of the tube is 2 mm. The contact angle is 135°. Determine the actual height representing the atmospheric pressure if surface tension is 0.48 N/m. The space above the column may be considered as vacuum. (Q.5) [5] Q2) What do you understand by ‘Total Pressure’ and ‘Center of Pressure’? Derive an expression for the force exerted on a sub- merged vertical plane surface by the static liquid and locate the position of center of pressure. (Q.6) [1+1+3]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An open cylindrical vertical container is filled with water to a height of 30 cm above the bottom and over that an oil of specific gravity 0.82 for another 40 cm. The oil does not mix with water. If the atmospheric pressure at that location is 1 bar, determine the absolute and gauge pressures at the oil water interface and at the bottom of the cylinder. (Q.7) [2+3] Q2) Derive an expression for the meta-centric height of a floating body. (Q.10) [5]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) What do you mean by Newtonian and Non Newtonian fluids , Ideal and Real fluids. Explain with examples. And draw graphs also.(Q.8) [2+2+1] Q2) Ship weighing 4000 tons and having an area of 465 m2 at water line submerging to depth of 4.5 m in sea water with a density of 1024 kg/m3 moves to fresh water. Determine the depth of submergence in fresh water. Assume that sides are vertical at the water line. (Q.14) [5]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) (a) If the expression for the stream function is described by ψ=x3-3xy2, determine whether the flow is(i) rotational (ii) irrotational. (b)If the flow is irrotational, then indicate the correct value of the velocity potential: (i) Φ= y3-3yx2 (ii) Φ= -3yx2 (Q.4) [2+3] Q2) A conical pipe diverges uniformly from 100mm to 200mm diameter over a length of 1m.Determine the local and convective acceleration at the mid-section assuming(i) rate of flow is 0.12 m3/s and it remains constant(ii) rate of flow varies uniformly from 0.12 m3/s to 0.24m3s in 5 sec, at t=2sec. (Q.10) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A vessel cylindrical in shape and closed at the top and bottom , contains water up to a height of 80 cm. the diameter of vessel is 20 cm and length of vessel 120cm .The vessel is rotated at a speed of 400 r.p.m about its vertical axis ,Find the height of parabolied formed (Q.9) [5] Q2) Derive an expression for continuity equation in three dimensions for Cartesian co-ordinate which is applicable for steady and incompressible. (Q.11) [5]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An open cylinder of 200mm diameter and 1500mm length contains water up to a height of 1000mm. Find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills.(Q.6) [5] Q2) Describe the method of determination of the stream function given the velocity relationship and also determine the stream function given u = 4xy and v = x – 2y2 (Q.12) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Prove that the stream function and potential function lead to orthogonality of stream lines and equipotential flow lines.(Q.1) [5] Q2) 14) For a two dimensional flow Φ=3xy and ψ=3/2(y2-x2).Determine the velocity components at the points (1, 3) and (3, 3).Also find the discharge passing between the stream lines passing through the points given above. (Q.14) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the concept of source and sink and find out the expressions for the same. (Q.7) [2+3] Q2) Derive an expression for the stream function for (i) uniform flow of 10 m/s along the x direction (ii) uniform flow of 5 m/s parallel to the negative y direction (iii) the combination of the two. (Q.8) [2+2+1]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A venturimeter as shown in Fig is used measure flow of petrol with a specific gravity of 0.8. The manometer reads 10 cm of mercury of specific gravity 13.6. Determine the flow rate. (Q.2) [5] Q2) A model of 1/8 geometric scale of a valve is to be designed. The diameter of the prototype is 64 cm and it should control flow rates up to 1m3/s. Determine the flow required for model testing. The valve is to be used with brine in a cooling system at –100C.The kinematic viscosity of brine at the saturated condition is 6.956 × 10–6 m2/s. For model testing water at 300C is used. Kinematic viscosity is 0.8315 × 10–6 m2/s (Q.9) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A pitot static tube is used to measure the velocity of air in a duct. The water manometer shows a reading of 8 cm. The static pressure in the duct is 9 kN/m2 and the air temperature is 320 K. The local barometer reads 740 mm of mercury. Calculate the air velocity if Cv = 0.98. Assume the gas constant for air as 287 J/kg K (Q.5) [5] Q2) At higher speeds where compressibility effects are to be taken into account the performance of a propeller in terms of force exerted is influenced by the diameter forward speed, rotational speed, density, viscosity and bulk modulus of the fluid. Evaluate the dimensionless parameters for the system. (Q.13) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An orifice meter with orifice diameter 15 cm is inserted in a pipe of 30 cm diameter. The pressure difference measured by a mercury oil differential manometer on the two sides of the orifice meter gives a reading of 50cm of mercury. Find the rate of flow of oil of specific gravity 0.9 when the coefficient of discharge of the meter =0.64 (Q.6) [5] Q2) The water is flowing through a taper pipe of length 100 m having diameters 600mm at the upper end 300mm at the lower end, at the rate of 50 lit/s. The pipe has a slop of 1 in 30. Find the pressure at the lower end if the pressure at the higher level is 19.62 N/cm2. (Q.10) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) To determine the pressure drop in a square pipe of 1 m side for air flow, a square pipe of 50 mm side was used with water flowing at 3.6 m/s. The pressure drop over a length of 3 m was measured as 940 mm water column. Determine the corresponding flow velocity of air in the larger duct and also the pressure drop over 90 m length. Kinematic viscosity of air = 14.58×10–6 m2/s. Density = 1.23kg/m3. Kinematic viscosity of water = 1.18 ×10–6 m2/s. (Q.11) [5] Q2) The flow velocity of water in a pipe is measured by a pitot static tube. The tube is placed at the centre of a 30 cm diameter pipe. The difference between the stagnation and static pressures measured as head of mercury and converted to head of water is 10 cm. If the coefficient of velocity Cv = 0.98, determine the velocity of water in the pipe. If the mean velocity is 0.7 times the centre line velocity, compute the discharge of water through the pipe. (Q.14) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A venturimeter of 150 mm × 75 mm size is used to measure the flow rate of oil having specific gravity of 0.9. The reading shown by the U tube manometer connected to the venturimeter is 150 mm of mercury column. Calculate the coefficient of discharge for the venturimeter if the flow rate is 1.7 m3/min. (Note : The size of venturimeter generally specified in terms of inlet and throat diameters) (Q.15) [5] Q2) The actual velocity of a liquid issuing through a 7 cm diameter orifice fitted in an open tank is 6 m/s under a head of 3 m. If the discharge measured in a collecting tank is 0.020 m3/s, calculate the coefficient of velocity, coefficient of contraction and the theoretical discharge through the orifice. (Q.16) [2+3]
Part – B
[20 Marks]
Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Find out the velocity distribution and shear stress distribution across a section of pipe for the viscous flow. (Q.3) [5] Q2) Petrol of sp. gravity 0.7 and kinematic viscosity of 0.417 × 10–6 m2/s flows through a smooth pipe of 250 mm ID. The pipe is 800 m long. The pressure difference between the ends is 0.95 bar. Determine the flow rate. (Q.19) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8 m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the phenomenon of water hammer. Obtain an expression for the rise of pressure, when the flowing water in a pipe is brought to rest by closing the valve gradually. (Q.7) [5] Q2) Air at 1 atm and 30 °C flows through a pipe of 30 cm dia. The kinematic viscosity at this condition is 16 × 10–6 m2/s. The density is 1.165 kg/m3. Determine the maximum average velocity for the flow to remain laminar. What will be the volume and mass flow rates at this condition? Also determine the head loss/m due to friction. (Q.15) [5] Part – B
[20 Marks] Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Find out the expression for loss of head due to friction in a pipe. Compare the head losses due to the sudden expansion, sudden contraction and pipe bend. (Q.9) [5] Q2) A reservoir at a level with respect to datum of 16 m supplies water to a ground level reservoir at a level of 4 m. Due to constraints pipes of different diameters were to be used. Determine the flow rate. (Q.4) [5]
No. Diameter, m Length including minor losses, m
f
1 0.30 220 0.02 2 0.35 410 0.018 3 0.45 300 0.013 4 0.40 600 0.015
Part – B [20 Marks
]Q1) A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit.
Take f=0.004 and atmosphere pressure =10.3 m of water. [7] Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown
in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water viscosity = 10-3Ns/m2and density=103Kg/m3. [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6]
Academic/26 Refer/WI/ACAD/18
Page-2
_______X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the Prandtl’s mixing length theory for turbulent shear stress. Explain briefly hydro dynamically smooth and rough boundaries. (Q.14) [5] Q2) Water flows in an experimental 50 mm square pipe at a temperature of 10°C. The flow velocity is 0.012 m/s. Determine the head drop over a length of 10 m. Compare the same with circular section of the same area, v=1.4×10–6m2/s. (Q.16) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) What do you mean by turbulence. Derive an expression for the velocity distribution for turbulent flow in smooth pipe. (Q.18) [5] Q2) In a hydroelectric plant the head available is 450 m of water. 25 cm penstock pipe with friction factor of 0.014 is used. Determine the maximum power that can be developed. The length of the pipe line is 3600 m. (Q.8) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions. Q1) State the Newton’s law of viscosity and derive the equation of viscosity? Explain the importance of viscosity in fluid motion. What is the effect of temperature on viscosity of water and air? [1+1+2+2] Q2) A simple U tube manometer containing mercury is connected to a pipe in which a fluid of specific gravity 0.7 and having vacuum pressure is flowing. The other end of the manometer is open to atmosphere. Find vacuum pressure inside pipe, if the difference of mercury level in the two limbs is 40cm and the height of fluid in the left from the center of pipe is 15 cm below. [6] Q3) Define the terms Buoyancy and Met-centric height. Derive an expression for the meta- centric height of a floating body. [1+1+4] Q4) An open cylindrical vertical container is filled with water to a height of 30 cm above the bottom and over that an oil of specific gravity 0.82 for another 40 cm. The oil does not mix with water. If the atmospheric pressure at that location is 1 bar, determine the absolute and gauge pressures at the oil water interface and at the bottom of the cylinder. [3+3] Q5) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open the top. Find the quantity of liquid left in vessel, when it is rotated about its vertical axis with a speed of 300 rpm. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions. Q1) What do you mean by Newtonian and Non Newtonian fluids, Ideal and Real fluids. Explain with examples and draw graphs also. [1+1+1+1+2] Q2) Find the volume of water displaced and the position of center of buoyancy for a wooden block of width 3m ,depth 2m and length 4m when it floats horizontally in water . The density of the wooden block is 700 kg/ms3. [3+3] Q3) The space between two large inclined parallel planes is 6mm and is filled with a fluid. The planes are inclined at 30° to the horizontal. A small thin square plate of 100 mm side slides freely down parallel and midway between the inclined planes with a constant velocity of 3 m/s due to its weight of 2N. Determine the viscosity of the fluid. [5] Q4) What do you understand by ‘Total Pressure’ and ‘Center of Pressure’? Derive an expression for the force exerted on a sub- merged vertical plane surface by the static liquid and locate the position of center of pressure. [1+1+5] Q5) An open cylinder of 200mm diameter and 1500mm length contains water up to a height of 1000mm. Find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) The space between two large inclined parallel planes is 6mm and is filled with a fluid. The planes are inclined at 30° to the horizontal. A small thin square plate of 100 mm side slides freely down parallel and midway between the inclined planes with a constant velocity of 3 m/s due to its weight of 2N. Determine the viscosity of the fluid. (Q.1) [5] Q2) Define the terms ‘buoyancy’ and centre of ‘buoyancy’. Explain the terms met-center and Met-centric height. (Q.13) [2+3]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
Academic/26 Refer/WI/ACAD/18
Page-2
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) State the Newton’s law of viscosity and derive the equation of viscosity? Explain the importance of viscosity in fluid motion. What is the effect of temperature on viscosity of water and air? (Q.2) [2+2+1] Q2) The velocity of the fluid filling a hollow cylinder of radius 0.1 m varies as u = 10 [1-(r/0.1)2]m/s along the radius r. The viscosity of the fluid is 0.018 Ns/m2. For 2 m length of the cylinder, determine the shear stress and shear force over cylindrical layers of fluid at r =0 (centre line), 0.02, and 0.1 m (wall surface.) (Q. 3) [3+2]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) In a closed end single tube manometer, the height of mercury column above the mercury well shows 757 mm against the atmospheric pressure. The ID of the tube is 2 mm. The contact angle is 135°. Determine the actual height representing the atmospheric pressure if surface tension is 0.48 N/m. The space above the column may be considered as vacuum. (Q.5) [5] Q2) What do you understand by ‘Total Pressure’ and ‘Center of Pressure’? Derive an expression for the force exerted on a sub- merged vertical plane surface by the static liquid and locate the position of center of pressure. (Q.6) [1+1+3]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An open cylindrical vertical container is filled with water to a height of 30 cm above the bottom and over that an oil of specific gravity 0.82 for another 40 cm. The oil does not mix with water. If the atmospheric pressure at that location is 1 bar, determine the absolute and gauge pressures at the oil water interface and at the bottom of the cylinder. (Q.7) [2+3] Q2) Derive an expression for the meta-centric height of a floating body. (Q.10) [5]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) What do you mean by Newtonian and Non Newtonian fluids , Ideal and Real fluids. Explain with examples. And draw graphs also.(Q.8) [2+2+1] Q2) Ship weighing 4000 tons and having an area of 465 m2 at water line submerging to depth of 4.5 m in sea water with a density of 1024 kg/m3 moves to fresh water. Determine the depth of submergence in fresh water. Assume that sides are vertical at the water line. (Q.14) [5]
Part – B [20 Marks]
Q1) A conical vessel having its outlet at A to which a u tube manometer is connected .Find the reading of the manometer given in figure
(i) When vessel is empty (ii) When the vessel is completely filled with water [2+3] Q2) A wooden cylinder of sp.gr. =.6 and circular in cross section is required to to float in oil (sp. gr.=0.90). Find the L/D ratio for the cylinder to float with its longitudinal axis vertical in oil, Where L is the height of cylinder and D is its diameter. [5] Q3) (i) With neat sketches explain the conditions of equilibrium for floating and submerged bodies. [3+3] (ii)Determine the horizontal and vertical components of the total force acting on the curve surface AB,
Which is in the form of a quadrant of a circle of radius 2m.Take the width of the gate as unity [2+2]
__________X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) (a) If the expression for the stream function is described by ψ=x3-3xy2, determine whether the flow is(i) rotational (ii) irrotational. (b)If the flow is irrotational, then indicate the correct value of the velocity potential: (i) Φ= y3-3yx2 (ii) Φ= -3yx2 (Q.4) [2+3] Q2) A conical pipe diverges uniformly from 100mm to 200mm diameter over a length of 1m.Determine the local and convective acceleration at the mid-section assuming(i) rate of flow is 0.12 m3/s and it remains constant(ii) rate of flow varies uniformly from 0.12 m3/s to 0.24m3s in 5 sec, at t=2sec. (Q.10) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A vessel cylindrical in shape and closed at the top and bottom , contains water up to a height of 80 cm. the diameter of vessel is 20 cm and length of vessel 120cm .The vessel is rotated at a speed of 400 r.p.m about its vertical axis ,Find the height of parabolied formed (Q.9) [5] Q2) Derive an expression for continuity equation in three dimensions for Cartesian co-ordinate which is applicable for steady and incompressible. (Q.11) [5]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An open cylinder of 200mm diameter and 1500mm length contains water up to a height of 1000mm. Find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills.(Q.6) [5] Q2) Describe the method of determination of the stream function given the velocity relationship and also determine the stream function given u = 4xy and v = x – 2y2 (Q.12) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Prove that the stream function and potential function lead to orthogonality of stream lines and equipotential flow lines.(Q.1) [5] Q2) 14) For a two dimensional flow Φ=3xy and ψ=3/2(y2-x2).Determine the velocity components at the points (1, 3) and (3, 3).Also find the discharge passing between the stream lines passing through the points given above. (Q.14) [2+3]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the concept of source and sink and find out the expressions for the same. (Q.7) [2+3] Q2) Derive an expression for the stream function for (i) uniform flow of 10 m/s along the x direction (ii) uniform flow of 5 m/s parallel to the negative y direction (iii) the combination of the two. (Q.8) [2+2+1]
Part – B
[20 Marks] Q1)(a) Explain the following with one practical example of each (i) Turbulent flow (ii) Rotational flow (iii) Non uniform flow [1+1+1] (b) Explain the following (i) Properties of velocity potential and stream function (ii) Path line and stream line [2+2]
Q2) A fluid flow field is given by V= xy2 i -2yz2 j - (zy2-2z3/3) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the point (1, 2, 3). [1+2+3] Q3) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open at top. Find the quantity of liquid left in the vessel, when it is rotated about its vertical axis with a speed of 600 r.p.m. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A venturimeter as shown in Fig is used measure flow of petrol with a specific gravity of 0.8. The manometer reads 10 cm of mercury of specific gravity 13.6. Determine the flow rate. (Q.2) [5] Q2) A model of 1/8 geometric scale of a valve is to be designed. The diameter of the prototype is 64 cm and it should control flow rates up to 1m3/s. Determine the flow required for model testing. The valve is to be used with brine in a cooling system at –100C.The kinematic viscosity of brine at the saturated condition is 6.956 × 10–6 m2/s. For model testing water at 300C is used. Kinematic viscosity is 0.8315 × 10–6 m2/s (Q.9) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A pitot static tube is used to measure the velocity of air in a duct. The water manometer shows a reading of 8 cm. The static pressure in the duct is 9 kN/m2 and the air temperature is 320 K. The local barometer reads 740 mm of mercury. Calculate the air velocity if Cv = 0.98. Assume the gas constant for air as 287 J/kg K (Q.5) [5] Q2) At higher speeds where compressibility effects are to be taken into account the performance of a propeller in terms of force exerted is influenced by the diameter forward speed, rotational speed, density, viscosity and bulk modulus of the fluid. Evaluate the dimensionless parameters for the system. (Q.13) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) An orifice meter with orifice diameter 15 cm is inserted in a pipe of 30 cm diameter. The pressure difference measured by a mercury oil differential manometer on the two sides of the orifice meter gives a reading of 50cm of mercury. Find the rate of flow of oil of specific gravity 0.9 when the coefficient of discharge of the meter =0.64 (Q.6) [5] Q2) The water is flowing through a taper pipe of length 100 m having diameters 600mm at the upper end 300mm at the lower end, at the rate of 50 lit/s. The pipe has a slop of 1 in 30. Find the pressure at the lower end if the pressure at the higher level is 19.62 N/cm2. (Q.10) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) To determine the pressure drop in a square pipe of 1 m side for air flow, a square pipe of 50 mm side was used with water flowing at 3.6 m/s. The pressure drop over a length of 3 m was measured as 940 mm water column. Determine the corresponding flow velocity of air in the larger duct and also the pressure drop over 90 m length. Kinematic viscosity of air = 14.58×10–6 m2/s. Density = 1.23kg/m3. Kinematic viscosity of water = 1.18 ×10–6 m2/s. (Q.11) [5] Q2) The flow velocity of water in a pipe is measured by a pitot static tube. The tube is placed at the centre of a 30 cm diameter pipe. The difference between the stagnation and static pressures measured as head of mercury and converted to head of water is 10 cm. If the coefficient of velocity Cv = 0.98, determine the velocity of water in the pipe. If the mean velocity is 0.7 times the centre line velocity, compute the discharge of water through the pipe. (Q.14) [5]
Part – B
[20 Marks] Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) A venturimeter of 150 mm × 75 mm size is used to measure the flow rate of oil having specific gravity of 0.9. The reading shown by the U tube manometer connected to the venturimeter is 150 mm of mercury column. Calculate the coefficient of discharge for the venturimeter if the flow rate is 1.7 m3/min. (Note : The size of venturimeter generally specified in terms of inlet and throat diameters) (Q.15) [5] Q2) The actual velocity of a liquid issuing through a 7 cm diameter orifice fitted in an open tank is 6 m/s under a head of 3 m. If the discharge measured in a collecting tank is 0.020 m3/s, calculate the coefficient of velocity, coefficient of contraction and the theoretical discharge through the orifice. (Q.16) [2+3]
Part – B
[20 Marks]
Q1) 250 L/s of water is flowing in a pipe having a diameter of 300mm. If the pipe is bend by 1350 (that is changes from initial to final direction). Find the magnitude and direction of the resultant force on the bend. The pressure of water flowing is 39.24N/cm2 . [3+3] Q2) (a) Derive an expression for discharge over a Triangular notch or wire. [3] (b) Water flowing over a rectangular notch of 1m length over a head of water 200mm. then the same
discharge over a right angled triangular notch. Find the height of water above the crest of the notch Take cd for the rectangular and triangular notches as 0.60 and 0.61 respectively. [4]
Q3) The resisting fore R of a supersonic plane during flight can be considered as a dependent upon the length of the aircraft L, velocity V, air viscosity µ, air density ρ and bulk modulus of air k , express the functional relationship between these variables and the resistive force. [7] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Find out the velocity distribution and shear stress distribution across a section of pipe for the viscous flow. (Q.3) [5] Q2) Petrol of sp. gravity 0.7 and kinematic viscosity of 0.417 × 10–6 m2/s flows through a smooth pipe of 250 mm ID. The pipe is 800 m long. The pressure difference between the ends is 0.95 bar. Determine the flow rate. (Q.19) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8 m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the phenomenon of water hammer. Obtain an expression for the rise of pressure, when the flowing water in a pipe is brought to rest by closing the valve gradually. (Q.7) [5] Q2) Air at 1 atm and 30 °C flows through a pipe of 30 cm dia. The kinematic viscosity at this condition is 16 × 10–6 m2/s. The density is 1.165 kg/m3. Determine the maximum average velocity for the flow to remain laminar. What will be the volume and mass flow rates at this condition? Also determine the head loss/m due to friction. (Q.15) [5] Part – B
[20 Marks] Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Find out the expression for loss of head due to friction in a pipe. Compare the head losses due to the sudden expansion, sudden contraction and pipe bend. (Q.9) [5] Q2) A reservoir at a level with respect to datum of 16 m supplies water to a ground level reservoir at a level of 4 m. Due to constraints pipes of different diameters were to be used. Determine the flow rate. (Q.4) [5]
No. Diameter, m Length including minor losses, m
f
1 0.30 220 0.02 2 0.35 410 0.018 3 0.45 300 0.013 4 0.40 600 0.015
Part – B [20 Marks
]Q1) A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit.
Take f=0.004 and atmosphere pressure =10.3 m of water. [7] Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown
in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water viscosity = 10-3Ns/m2and density=103Kg/m3. [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6]
Academic/26 Refer/WI/ACAD/18
Page-2
_______X__________
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) Explain the Prandtl’s mixing length theory for turbulent shear stress. Explain briefly hydro dynamically smooth and rough boundaries. (Q.14) [5] Q2) Water flows in an experimental 50 mm square pipe at a temperature of 10°C. The flow velocity is 0.012 m/s. Determine the head drop over a length of 10 m. Compare the same with circular section of the same area, v=1.4×10–6m2/s. (Q.16) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions.
Part – A (Questions from Tutorial Sheet)
[10 Marks] Q1) What do you mean by turbulence. Derive an expression for the velocity distribution for turbulent flow in smooth pipe. (Q.18) [5] Q2) In a hydroelectric plant the head available is 450 m of water. 25 cm penstock pipe with friction factor of 0.014 is used. Determine the maximum power that can be developed. The length of the pipe line is 3600 m. (Q.8) [5]
Part – B [20 Marks]
Q1)A siphon of diameter 200mm connects two reservoir having a difference in elevation of 15m. The total length of siphon is 600m and the summit is 4 m above the water level in the upper reservoir. If the separation takes place at 2.8m of after absolute. Find the maximum length of siphon from upper reservoir to to summit. Take f=0.004 and atmosphere pressure =10.3 m of water. [7] . Q2) Find the capacity of a pump that is required in a 75mm line so that 20lit/s flow through each pipe as shown in fig. neglect minor losses. Assume that water is flowing at 20°c in smooth pipes. At 20°c for water
viscosity = 10-3Ns/m2and density=103Kg/m3. . [7] Q3) Find the rate of flow through a horizontal pipe line 50m long which is connected to a water tank at one end and discharged freely in to the atmosphere at the other end. For the first 30m of its length from the tank, the pipe is 200mm diameter and its diameter is suddenly enlarged to 300mm. The height of water level in the tank is 10m above the center line of the pipe. Considering all minor losses. Take f=0.002 for both the section of the pipe. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions. Q1) State the Newton’s law of viscosity and derive the equation of viscosity? Explain the importance of viscosity in fluid motion. What is the effect of temperature on viscosity of water and air? [1+1+2+2] Q2) A simple U tube manometer containing mercury is connected to a pipe in which a fluid of specific gravity 0.7 and having vacuum pressure is flowing. The other end of the manometer is open to atmosphere. Find vacuum pressure inside pipe, if the difference of mercury level in the two limbs is 40cm and the height of fluid in the left from the center of pipe is 15 cm below. [6] Q3) Define the terms Buoyancy and Met-centric height. Derive an expression for the meta- centric height of a floating body. [1+1+4] Q4) An open cylindrical vertical container is filled with water to a height of 30 cm above the bottom and over that an oil of specific gravity 0.82 for another 40 cm. The oil does not mix with water. If the atmospheric pressure at that location is 1 bar, determine the absolute and gauge pressures at the oil water interface and at the bottom of the cylinder. [3+3] Q5) A cylindrical vessel 12 cm in diameter and 30 cm deep is filled with water up to top. The vessel is open the top. Find the quantity of liquid left in vessel, when it is rotated about its vertical axis with a speed of 300 rpm. [6] _______X__________
Academic/26 Refer/WI/ACAD/18
Page-1
(Session : 2012-13)
Roll No.
(To be filled by the Student) Note: Attempt all questions. Q1) What do you mean by Newtonian and Non Newtonian fluids, Ideal and Real fluids. Explain with examples and draw graphs also. [1+1+1+1+2] Q2) Find the volume of water displaced and the position of center of buoyancy for a wooden block of width 3m ,depth 2m and length 4m when it floats horizontally in water . The density of the wooden block is 700 kg/ms3. [3+3] Q3) The space between two large inclined parallel planes is 6mm and is filled with a fluid. The planes are inclined at 30° to the horizontal. A small thin square plate of 100 mm side slides freely down parallel and midway between the inclined planes with a constant velocity of 3 m/s due to its weight of 2N. Determine the viscosity of the fluid. [5] Q4) What do you understand by ‘Total Pressure’ and ‘Center of Pressure’? Derive an expression for the force exerted on a sub- merged vertical plane surface by the static liquid and locate the position of center of pressure. [1+1+5] Q5) An open cylinder of 200mm diameter and 1500mm length contains water up to a height of 1000mm. Find the maximum speed at which the cylinder is to be rotated about its vertical axis so that no water spills. [6] _______X__________
Academic/26 Refer/WI/ACAD/18