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The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University of Memphis

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Page 1: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Using MERLOT Learning Objects in Mechanical Engineering

Dr. Edward H. PerryDepartment of Mechanical Engineering

The University of Memphis

Page 2: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Using MERLOT Learning Objects in Mechanical Engineering

Engineering Thermodynamics

Gas Dynamics

Page 3: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Steam Tables vs Online Steam Calculator

http://www.mathpad.com/

Page 4: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Steam Turbine Typical

Problem:

Determine the enthalpy for steam leaving an ideal steam turbine at 1 psia if the steam enters at a pressure of 1500 psia and a temperature of 1000 oF.

Page 5: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Steam Table Approach - Step 1

Using conventional superheated steam tables, we find that at 1500 psia and 1000 oF, the entropy s of the steam at the turbine inlet is:

s1 = 1.6001 Btu/lbm-R

Page 6: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Steam Tables - Step 2Ideal Steam Turbine => Entropy remains constant (i.e., s2 = s1)

Using the Saturation Tables, we find the quality of the steam at the turbine exit (p2 = 1 psia , s2 = s1 = 1.6001 Btu/lbm-R) is:

x2 = (s2 - sf)/sfg = (1.6001 - 0.13266)/1.8453 = 0.795

Thus, the enthalpy at the exit is:

h2 = hf + xhfg = 69.74 + (0.795)(1036.0) = 893.4 Btu/lbm

Page 7: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Online Calculator Approach www.mathpad.com

Inlet Conditionsp1 = 1500 psiaT1 = 1000 oFThus, s1 = 1.60037… Btu/lbm-R

Exit Conditionsp2 = 1 psias2 =s1 = 1.60037...Thus, h2 = 893.7 Btu/lbm

“Ideal” Turbine => Entropy remains constant (s2=s1)

http://www.mathpad.com/

Page 8: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Determining Exit Conditions in a Rocket Nozzle

Typical Problem:

Determine the Mach number and speed of the combustion products leaving a converging-diverging nozzle with an area ratio of 50:1. Assume a specific heats ratio g of 1.20 for the gases.

Page 9: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Traditional Approach - Calculations

This non-linear equation is not only messy. It cannot be solved directly. A trial-and-error root-finding approach must be used.

Page 10: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Traditional Approach The results of one such iterative method are shown below and indicate that the correct answer is approximately M = 4.3958

Page 11: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Online Calculator Approach

http://www.aoe.vt.edu/~devenpor/aoe3114/calc.html

Using the calculator, we immediately find the Mach number to be 4.3958

http://www.grc.nasa.gov/WWW/K-12/airplane/ienzl.html

Page 12: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Nozzle Simulatorhttp://www.grc.nasa.gov/WWW/K-12/airplane/ienzl.html

http://www.grc.nasa.gov/WWW/K-12/airplane/ienzl.html

Page 13: The University of Memphis Using MERLOT Learning Objects in Mechanical Engineering Dr. Edward H. Perry Department of Mechanical Engineering The University

The University of Memphis

Thanks Merlot!

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