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
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 ge
Formulas
General
Hyperbolic functions: 2 cosh x = ex + ex
2 sinh x = ex ex
and
2
Norm of a complex number: |a + ib| = a2 + b2
Radius of convergence: r = limn |an /an+1 |
Integration by parts:
R
u(x)v
Mech 358 - 2017
Midterm 1
Name:
February 9, 2017
Include all details of your calculations. No calculators, books or notes permitted. Leave numbers as
fractions. Justify your answers!
/30
Question 1:
G
Mech 358 - 2016
Midterm 2
Name:
March 24, 2016
Include all details of your calculations. No calculators, books or notes permitted. Leave numbers as
fractions. Justify your answers!
(30 total points)
Q
Mech 358 - 2017
Assignment #1
Assigned: Jan 10, 2017
Due: Jan 19, 2017, by 11am.
For this assignment, you should submit your .m files along with your figures (.fig or .pdf or
) and any output you may
Mech 358 - 2016
Midterm 2
Name: Solutions
March 24, 2016
Include all details of your calculations. No calculators, books or notes permitted. Leave numbers as
fractions. Justify your answers!
(30 total
Mech 358 - 2017
Midterm 2
Name: Solutions
March 23, 2017
Include all details of your calculations. No calculators, books or notes permitted. Leave numbers as
fractions. Justify your answers!
(26 total
MECH 358 - 2017
Assignment 2
Assigned: January 24 2017
Due: Feb 2 2017
READ CAREFULLY:
For this assignment, you should submit your .m files along with your figures (.fig or .pdf or )
and any output yo
MECH 358 - 2017
Assignment 5
Assigned: March 28, 2017
Due: April 6, 2017
Submissions are due at the start of class. Figures should be printed and submitted in hardcopy.
Question 1: Method of eigenfunc
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
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 Na
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 ope
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 2
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. A
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 t
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
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
wa
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 cover
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 Bernoul
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
MECH 358 - 2017
Assignment 4
Due: March 16 21 2017
Assigned: March 7 2017
Submissions are due at the start of class. Figures should be printed and submitted in hardcopy.
Question 1: Fourier cosine ser