ASSIGNED:
DUE:
18 September 2014
30 September 2014
NOTES
Show all work! A significant portion of the credit will be given for steps shown even if the final
answer is wrong. Likewise, giving a correct
One Dimensional, Steady, Compressible Flow
Our rst use of the equa<ons of mo<on and thermodynamics will
be the simplest possible geometry.
Assume:
1D ow (all variables
MAE 422 Fall 2016: Homework Assignment #2
ASSIGNED:
DUE:
22 September 2016
04 October 2016
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus and the homework
suggestions
MAE 422 Fall 2016: Exam #2, Take-home Project
ASSIGNED:
DUE:
16 November 2016
8 December 2016
EXAM INSTRUCTIONS
This take-home project counts as an exam (15-25% course credit). To complete these probl
MAE 422 Fall 2016: Homework Assignment #3
ASSIGNED:
DUE:
6 October 2016
18 October 2016
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus and the homework
suggestions doc
MAE 422 Homework Guidelines
This document details what is expected of you on homework assignments. Please refer to it if you need
clarification on any topic. Points will be deducted if you do not foll
MAE 422 Fall 2016: Homework Assignment #4
ASSIGNED:
DUE:
18 October 2016
27 October 2016
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus and the homework
suggestions do
MAE 422 Fall 2016: Homework Assignment #5
ASSIGNED:
DUE:
3 November 2016
29 November 2016
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus and the homework
suggestions d
MAE 422 Fall 2016: Final Exam Review Sheet
NOTES ABOUT THE EXAM
The final exam will be from 3:30 6:30 on Thursday, December 15TH in the usual classroom
(Cooke 121).
The exam will be four parts: (A) 14
MAE 422 Fall 2016: Homework Assignment #6
ASSIGNED:
DUE:
29 November 2016
8 December 2016
Because it is the end of the semester, late credit for this assignment will only be granted for
assignments tu
Equa%ons of Fluid Mo%on
Conserva%on Laws
A series of conserva%on laws can be dened for con0uum uids
that track mass, momentum, and energy of the uid.
Can be derived
Deni&ons, part 1
Local Thermodynamic Equilibrium (LTE)
Thermodynamic equilibrium is the condi&on which maximizes the
balance of a molecular system for a given state.
What makes a uid compressible?
A compressible uid is one that undergoes changes in its density.
Consider an element of uid of xed mass, m, and a volume, V:
m
V
densit
Introduction to Viscous Flow
Relevant References for More Information
1.
Joseph Schetz and Rodney Bowersox. Boundary Layer Analysis, 2nd Ed. ISBN: 978-1-60086-823-8,
AIAA Education Series, 2011.
2.
F
2D Steady, Compressible Flow Motivation
We wish to study two very basic problems in which we turn a supersonic, moving gas.
By our Tangency Boundary Condition, flow must become parallel to the incline
Method of Characteristics
Method of Characteristics (MOC)
A mathematical technique for solving certain types of partial
differential equations (those considered hyperbolic).
Supersonic inviscid fl
Quasi One Dimensional, Steady, Compressible Flow
In pure 1-D Flow, all variables were considered to be a function of
x only and were considered independent of area.
Quasi 1-D Flow also assumes all
MAE 422 Fall 2016: Homework Assignment #1
ASSIGNED:
DUE:
08 September 2016
20 September 2016
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus.
PROBLEMS
1. The Hypersonic
Detailed Derivation of an Analytical Solution
for the Wave Angle of an Oblique Shock
Matthew MacLean, Ph.D.
Version:
3 October 2016
Analytic Derivation
MAE 422 Fall 2017: Take-home Project
ASSIGNED:
DUE:
14 November 2017
7 December 2017
EXAM INSTRUCTIONS
This take-home project counts as 20% course credit. To complete these problems, feel free to use
Question 1 c
Question 2 (a)
Pr=1.0:0.01:1.9;
gamma=1.4;
Mb=sqrt(2/gamma*(Pr)-1);
plot1=plot(Mb,Pr,'*');
grid on
legend('machnumber vs benoulli pressure ratio ')
xlabel('machnumber')
ylabel('pressure r
MAE 422 - Gas Dynamics
FALL SEMESTER 2016
Course Outcome:
To develop an understanding of the theory of compressible gases at appreciable
subsonic and supersonic speeds with application to high-speed a
Equations of Fluid Motion
Conservation Laws
A series of conservation laws can be defined for continuum fluids
that track mass, momentum, and energy of the fluid.
Can be derived in a number of ways
MAE 422 Fall 2017: Homework Assignment #1
ASSIGNED:
DUE:
07 September 2017
19 September 2017
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus.
PROBLEMS
1. A typical airc
MAE 422 Fall 2017: Homework Assignment #3
ASSIGNED:
DUE:
5 October 2017
17 October 2017
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus and the homework
suggestions doc
MAE 422 Fall 2017: Homework Assignment #2
ASSIGNED:
DUE:
21 September 2017
3 October 2017
NOTES
Reminder: Please follow the homework guidelines as listed in the syllabus.
PROBLEMS
1. Very recently, NA