1
MEEN 689-Homework 1
Problem 1: R denotes the set of all the real numbers. For x R, a real-valued polynomial of degree n is dened as f (x) = 0 +1 x+ +n xn for some constants 0 , , n R. Let Pn be the set of all the real-valued
polynomial functions of degr
MEEN 602: Modeling and Analysis of Mechanical Systems
Instructor: Dr. S. Rathinam
Telephone: (979) 458-3578
Email: srathinam@tamu.edu
Location: 506 MEOB
Office Hours: Tuesdays and Thursdays, 2.00 pm 3.30 pm, or contact me by email.
Virtual office hours
MEEN 689 Gas Dynamics, Fall 2015
Graded HW Set #3
Due Date: 11/6/2015
Problem 1. For a normal shock in a perfect gas:
a) Using the Hugoniot shock relations, show that
M 22 =
( + 1) 1 + p1
2 + 1
p 2
b) A supersonic flow of an ideal gas at M = 3.5, with M
MEEN 689 Gas Dynamics, Fall 2015
Graded HW Set #1
Due Date: 9/18/2015
Problem 1. Hot combustion gases enter a nozzle at 500 kPa, 1500 C and 130 m/s, and they exit at a
pressure of 85 kPa. Assuming an isentropic efficiency of 96 percent and treating the co
MEEN 689 Gas Dynamics, Fall 2015
Graded HW Set #2
Due Date: 10/14/2015
Problem 1. For an ideal gas in isentropic flow, derive the choked mass flow rate equation from
= AV :
the basic relation m
( +1)
max = P0 A *
m
2 2( 1)
RT0 + 1
where P0 is the stag
1
MEEN 689-Homework 2
In all these problems, each of the vector spaces is dened over the eld of real numbers. We also assume
the standard denitions for elementary operations (sum and product) for the vector spaces.
Problem 1: Let V and W be vector spaces,