ME 322
Spring 2012
GAS DYNAMICS
Homework 8: Solutions
8B.1 A shock wave propagates into a polyatomic gas with an effective (constant) specific
heat ratio = 1.2 and a gas constant R = 225 J/kg K .The gas ahead of the shock is
moving in the same direction a
ME 322
Spring 2012
GAS DYNAMICS
Homework 1:Solutions
B1.1. A van der Waals gas satisfies the thermal equation of state
( p + ) (1 ) = RT
2
where and are constants.
(a) Determine the general form of the caloric equation of state for e = e ( T , ) .
(b) Obt
ME 322
Spring 2012
GAS DYNAMICS
Homework 10
10.B1. In a conventional shock tube, helium is employed as the driver gas and argon as
the driven gas. For tailoring, determine the required temperature ratio T4 T1 as a function
of the tailored shock Mach numbe
M.E. 322
Spring 2012
GAS DYNAMICS
Homework 7
7.B.1 A supersonic wind tunnel and diffuser combination has a fixed geometry with a
first throat area At1 = 0.0025 m2, a working section area AWS = 0.00875 m2, and a second
throat area At 2 = .0068 m2 .
(a) For
M.E. 322
Spring 2012
GAS DYNAMICS
Homework 6: solution
6B.1 A convergent-divergent nozzle is attached to an air-filled reservoir chamber in
which the stagnation pressure p0 = 500 kPa and the stagnation temperature T0 = 300 K .
The nozzle throat diameter D
ME 322
Spring 2012
GAS DYNAMICS
Homework 11: Solution
11B.1 (i) A Chapman-Jouget detonation propagates through a combustible mixture with a
heat release q = 3MJ/kg . The upstream gas temperature T1 = 295 K , and the upstream
pressure p1 = 101 kPa . Assume
ME 322
Spring 2012
GAS DYNAMICS
Homework 9: Solutions
9.B1. In a conventional shock tube, helium is employed as the driver gas and argon as the
driven gas. The driven gas temperature T1 = 300 K . Determine accurate plots of the
driving pressure ratio p4 p
ME 322
Spring 2012
GAS DYNAMICS
Homework 5: solution
5B.1. A plane shock wave impinges on a straight wall at an angle 1 = 30 . If the upstream flow
properties are M1 = 3.0, p1 = 101 kPa , and T1 = 295 K, calculate the pressure, temperature, Mach
number, s
ME 322
April 2012
Review Material: Final exam
A list of topics for which you are responsible is given below. Copies of the Final
Examinations for 2010 and 2011 are attached. The exam is open Class notes (see Course
Site) and open book (Anderson). Old home
ME 322
Spring 2012
GAS DYNAMICS
Homework 4: solutions
4.B.1 An insulated duct of diameter 10 cm has an average friction coefficient f = 0.005. Air
enters the duct at high speed with a static pressure p1 = 50 kPa, and an inlet temperature T1 = 400
K. The m
ME 322
Spring 2012
GAS DYNAMICS
Homework 2:Solutions
2.B.1. What is the maximum air speed that can be attained for adiabatic flow from a reservoir at
an initial temperature of 500 K ?
Solution
If adiabatic
1
RT + V 2 =
RT0
1
2
1
or
V=
2 R
(T0 T ) .
1
A
ME 322
Spring 2012
GAS DYNAMICS
Homework 3: Solutions
3B.1 Air enters a subsonic combustor of constant diameter 20cm at a Mach number M 1 = 0.5 .
The entry stagnation pressure is p01 = 1.2 MPa and the entry stagnation temperature T01 = 350 K .
(a) What is