MECH 380
2013
PROBLEM SET 4 - COMPRESSIBLE FLOW 3
Total : 25 marks. Each question: 5 marks.
1. Rocket Motor. The nozzle of a rocket motor is designed to generate a thrust of
30,000N when operating at an altitude of 20 km (Patm=5467 Pa). The pressure insid
The Navier-Stokes equations
January 23, 2017
Simple derivation
The Navier-Stokes equations are simply a statement of conservation of mass and momentum. For
a solid object we typically state these laws as
m = const.
F = ma
we can write mass in terms of den
MECH 380 - 2016
Midterm 1
Name:
February 10 2016
Show all details of a calculation to receive full credit
/30
Question 1: Describe the physical meaning of each (individual) term and equation in the NavierStokes equations: /7
Du
= g p + 2 u
Dt
0=u
1
S4
y
H
Vector Calculus - Review
January 5, 2017
This is an inexhaustive review of vector calculus, and an introduction to the notation used in this
course.
Scalars, Vectors, Tensors
A scalar is just a number or a magnitude. A vector, written here a, is simply a
Solutions PROBLEM SET 1
1. (b) ABCD, because the center of pressure is farther from the hinge.
3.
4)
Starting with conservation of mass, we have:
=
We can estimate the pressure drop by using Bernoullis equation along the centerline
1
1
+ + = + +
2
2
K
MECH 380
2013
Problem set 1 - Review
(25 points)
1. (4 points) A deep tank with vertical slides is filled with liquid and has two identical
square holes in its side, as shown in the figure, each covered by a hinged plate. For each
hole, one horizontal edg
Problem set 2
Solutions
1
(b)
(c)
(d)
(e)
309.2 K
320 K
331.2 C
More information is needed to answer this question.
Think About It/Plan. If the ow is isentropic, then (among other conditions) there
was no heat transfer to/from this ow, nor any work done o
MECH 380
2013
PROBLEM SET 2 - COMPRESSIBLE FLOW 1
Total : 24 marks. Each question: 4 marks.
1. Mach number in argon. Argon is flowing at 100 m/sec at a temperature of 30 C. What
is the Mach number of this flow? (k=5/3 and R=208 m2/s2 K)
(a) 0.263
(b) 0.28
MECH 380
2013
Problem set 7 - Boundary Layers
(Due date: March 22nd)
Total : 28 marks (each question - 4 marks)
1
(density =888 kg/m3, viscosity =0.84 kg/(m s)
5. Plate Drag 2. If you were to repeat the previous problem, but with the plate moving
parallel
PROBLEM SET 3 - Compressible flow 2
Solutions
Total : 28 marks. Each question: 4 marks.
1.
2. Nozzle Flow . A rocket engine is being ground tested. The pressure in the combustion
chamber is 1.5 MPa. At the nozzle exit, the pressure is precisely atmospheri
MECH 380
2013
PROBLEM SET 3 - COMPRESSIBLE FLOW 2
Total : 28 marks. Each question: 4 marks.
1. From one Mach number to another. Air is moving at Mach 0.25, a pressure of 80
kPa, and a temperature of 240 K. After a further isentropic expansion, the pressur
MECH 380
2013
PROBLEM SET 4 - COMPRESSIBLE FLOW 3
Solutions
Total : 25 marks. Each question: 5 marks.
1. Rocket Motor. The nozzle of a rocket motor is designed to generate a thrust of
30,000N when operating at an altitude of 20 km (P atm =5467 Pa). The pr
Dimensional Analysis
Example of Drag force on a sphere
If we want to understand the drag force on a sphere translating with a velocity U, we should know
what independent variables it depends on. In general, the drag should depend on the viscosity
of the f