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Problem T10 (Unified Thermodynamics)
An aircraft is flying at M=2.0 at 11km (Tatm = 217K, patm = 22.6kPa, γ = 1.4). (LO# 4)
a) In the reference frame of the airplane, what are the static and stagnation (or total) temperatures, and static and stagnation (or total) pressures?
b) In the inlet of the engine, the flow is decelerated (adiabatically and quasi-statically) to about M=0.7 before passing into the compressor. Again in the reference frame of the airplane, what are the stagnation and static pressures and temperatures at the entrance to the compressor?
c) The fan tip speed is Mach 1.7 relative to the engine. In the reference frame of the fan tip, what are the stagnation and static pressures and temperatures at the entrance to the compressor?
d) A wind-tunnel is being designed to test the engine of this aircraft. The tunnel will be a blowdown facility like that shown below. High pressure air will be metered through a valve so that it flows through the wind-tunnel test section at Mach = 2 relative to the stationary lab frame. If the high pressure air were to start at room temperature and be accelerated adiabatically with no external work enroute to the test section, what would the static temperature of the flow in the wind-tunnel be? What temperature would it be necessary to set the pressure vessels to so that the static temperature in the test section matched those experienced in flight?
high pressure, T=Tvessel
M=2.
valve
exhaust
Problem T11 (Unified Thermodynamics)
A device called a heat exchanger is shown below. Assume that both the hot side flow and the cold side flow behave as ideal gases with R=287 J/kg-K, cp=1003.5 J/kg-K, and cv = 716.5 J/kg-K.
Thermally-insulated
COLD SIDE
HOT SIDE
1kg/s T=300K c=50 m/s p=200kPa
5 kg/s T=500K c=100 m/s p=400kPa
5kg/s T=? c=75 m/s p=100kPa
1 kg/s T=350K c=60 m/s p=100kPa
a) What is the temperature at the exit of the hot side flow? (LO# 4)
b) This is a quote from Thermodynamics for Engineers by Wong,©2000 by CRC Press. “No work is done in a heat exchanger.” Do you agree or disagree and why? Please substantiate your argument with a calculation. (LO# 4)
c) Is the process in this device reversible or irreversible and why? (Do not do a calculation; answer with a few sentences) (LO# 5)
d) Describe the energy exchange processes in the device in terms of various forms of energy, heat and work. (LO# 2)
Problem C8. (Unified Computers and programming)
- Write an Ada95 program to accept a date in the Date/Month/Year format. Accept each of the inputs separately. Display the date in all three formats as shown below. Turn in the hard copy of your algorithm and code listing, and an electronic copy of your code.
i. 19/9/2003 (Date, Month, Year) ii. 19 September 2003 iii. 19.IX.
Hint: Use Enumerations to represent the month.
- What are the First and Last values of the following data types a. Integer b. Float c. Character d. Boolean
Problem C9. (Unified Computers and programming)
- Write a simple package that contains a. A type definition b. Two functions called Successor and Predecessor that work exactly like Type’Succ and Type’Pred. The only difference being: i. Successor(Type’Last) = Type’First ii. Predecessor(Type’First) = Type’Last
For example:
type Day is (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday) ;
Successor(Sunday) = Monday Predecessor(Monday) = Sunday
Turn in a hard copy of your algorithm and code listing (package specification and package body), and an electronic copy of your code.
- Write an Ada95 program that demonstrates the functionality of your package from question 1 above. Turn a hard copy of your code listing and an electronic copy of your code.
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- Write a simple package that contains
a. A function to add two integers. b. A procedure to multiply two integers.
Turn in a hard copy of your code listing and an electronic copy of your code.
- Write an Ada95 program that uses the package defined in Problem 2. Your program should: a. Display a menu to the user as shown in Figure 1, and prompt him/her for a choice. b. Accept a choice c. Prompt the user for the inputs. d. Clear the screen and display the result as shown below in Figure 2.
Turn in a hard copy of your algorithm and code listing, and an electronic copy of your code. Hint : Use a case statement to select the required function/ procedure from the package.
Your Name’s Program to Implement Simple Math Functions
- Add Two Numbers
- Multiply Two Integers
- Quit
Please Enter Your Choice (1-3):
Figure 1 : Menu Display
If the numbers are First_Number and Second_Number,
If the User Selects 1, the output should be:
Adding First_Number and Second_Number: First_number + Second_Number = Sum
If the User Selects 2, the output should be
Multiplying First_Number and Second_Number: First_number * Second_Number = Sum
Figure 2 : Displaying Outputs
Unified Engineering I Fall 2003
Problem S1 (Signals and Systems)
- Consider the system of equations
x + y − 2 z = − 1 x + 4 y + 2 z = 5 x + y − z = 0
Solve for x, y, and z, in three separate ways. The goal of part (1) is to practice solving systems of equations, so that when you get to part (2), you will have a fair basis of comparison.
(a) Determine x, y, and z using (symbolic) elimination of variables.
(b) Determine x, y, and z by Gaussian reduction.
(c) Determine x, y, and z using Cramer’s rule.
- Consider the system of equations
4 x + 2 y + 2 z = 7 3 x + y + 2 z = 5 x + 3 y − z = 4
Again, solve for x, y, and z, in three separate ways. This time, please time each part (a), (b), (c) below.
(a) Determine x, y, and z using (symbolic) elimination of variables.
(b) Determine x, y, and z by Gaussian reduction.
(c) Determine x, y, and z using Cramer’s rule.
(d) How much time did each method take?
(e) Which method do you prefer? When answering this question, think about how much time might be required for a larger system, say, one that is 5 × 5.
