CE 335: HW-4 1

HW # 4

CE 335: Fluid Mechanics California State University, Long Beach

Civil Engineering and Construction Engineering Management Problem 1: If the piston and water (ρ= 62.4 lbm/ft3) are accelerated upward at a rate of 0.4g, what will be the pressure at a depth of 2 feet in the water column? [Answer: 174.8 psf ]

Problem 2: A liquid with a specific weight of 100 lbf/ft3 is in the conduit. This is a special kind of liquid that has zero viscosity. The pressures at points A and B are 170 psf and 100 psf, respectively.Which one (or more) of the following conclusions can be drawn from the following? Prove with your work. (a) The velocity is in the positive l direction. (b) The velocity is in the negative l direction.(c)The acceleration is in the positive l direction. (d) The acceleration is in the negative l direction. [Answer: (d) only ]

Problem 3: If the velocity varies linearly with distance through this water nozzle, what is the pressure gradient, dp/dx, halfway through the nozzle? (ρ= 62.4 lbm/ft3) [Answer: 5,335 psf/ft]

CE 335: HW-4 2

Problem 4: Water flows from a pressurized tank, through a 6-in diameter pipe, exists from a 2-in diameter nozzle, and rises 20 ft above the nozzle as shown. Determine the pressure in the tank if the flow is steady, frictionless, and incompressible. [Answer:1,248 psf]

Problem 5:

An inviscid, incompressible liquid flows steadily from the large pressurized tank as shown. The velocity at the exit is 40 ft/s. Determine the specific gravity of the liquid in the tank. [Answer: S.G = 2.34]

CE 335: HW-4 3

Problem 6: Water flowing from the 0.75-in diameter outlet rises 2.8 in above the outlet. Determine the flowrate. [Answer: Q = 0.012 cfs]

Problem 7: Water (assumed inviscid and incompressible) flows steadily in the vertical variable-area pipe as shown. If the pressure in each of the gages reads 50 kPa, then find the flowrate. [Answer: Q = 11.36 m3/s]

CE 335: HW-4 4

Problem 8: Water (assumed inviscid and incompressible) flows steadily with a speed of 10 ft/s from the large tank as shown. Determine the depth H, of the layer of light liquid (γ = 50 lb/ft3) that covers the water in the tank. [Answer: H = 3.18 ft]

Problem 9: Water flows through the pipe contraction as shown. For the given 0.2-m difference in manometer level, determine the flowrate as a function of the diameter of the small pipe, D. [Answer: Q = 0.0155 m3/s]