THERMODYNAMICS: MIDTERM 1 - REVIEW SHEET
Thermodynamics: The science of energy and entropy. The science of heat and work and those properties of substances
that bear a relationship to heat and work.
System: A quantity of mass of fixed identity.
Surroundin
MTH 3201 Midterm Test 2: Fall 2010
Solutions
1
Use Laplace transforms to solve the initial boundary value problem for the wave equation:
utt c2 uxx = 0,
0 < x < +,
u(x, 0) = ut (x, 0) = 0,
0 < x < +
(1.2)
t >0
(1.3)
t >0
(1.4)
ux (0,t) = f (t),
lim u(x,t)
Name: €qu ’7 'o )9
Fall 2013 Dr. Bruce Vu
MAE-3191-E1: Engineering Thermodynamics
Midterm Exam 2
(Open books, open notes)
1. (20%) Oxygen gas (02) is compressed from an initial state of 100 kPa and 400 K to
a ﬁnal state of 500 kPa and 700 K. Determine the
Name: (“+13 H
Fall 2013 Dr. Bruce Vu
MAE-3191-E1: Engineering Thermodynamics
Quiz 2
(Open books, open notes)
1. To keep the house warm, a heat pump with a coefﬁcient of performance equal to 1.8
has been constructed and requires 12 kW of power to operate.
MTH 3201 Midterm Test 1: Spring 2010: Solutions
1
First Problem
Solve the heat equation ut = 9uxx for a rod of length with both ends held at zero temperature (zero Dirichlet
boundary conditions) if the initial temperature is given by (x) = x( x). First, f
MTH 3201 Midterm Test 2: Fall 2010
Solutions
1
Use Laplace transforms to solve the initial boundary value problem for the wave equation:
utt c2 uxx = 0,
0 < x < +,
u(x, 0) = ut (x, 0) = 0,
0 < x < +
(1.2)
t>0
(1.3)
t>0
(1.4)
u(0, t) = f (t),
lim u(x, t) =
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 3
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 3
The Energy Equation
The First Law of Thermodynamics
The Work in Simple Systems
T
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 6
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 6
The Inequality of Clausius
Entropy
Gibbs Property Relations
Entropy Changes for
MAE 4281
Homework #10
Assigned:
Due:
13 April
20 April
Box Beam Analysis
1. Consider the idealized box beam shown below. It has three stiffeners and two cells. Areas of
the stiffeners are given in the sketch. Determine the location of the centroid, and th
MAE 4281
Homework #9
Assigned:
6 April
Due:
13 April
Note: this assignment is shorter than the normal MAE4281 HW assignment because HW#11
(due 4/25) has also been assigned, to allow time for you to work on that assignment in addition to
HW#9. I recommend
MAE 4281
Homework #11
Assigned: 4 April
Due: Tuesday, April 25
NOTE: This assignment is due on Tuesday, April 25, five days after HW#10. HW#9 and HW#10
will be shorter than usual to compensate for this assignment. Nonetheless I strongly encourage
you to s
MAE 4281
Homework #3
Assigned: 26 January
Due: 2 February, Beginning of class
Euler Buckling: (This should be a review from MAE 3083, Mechanics of Materials. If you are
not familiar with this topic, please study sections 10.1-10.4 of Beer, F.P. et al., Me
MAE 4281
Homework #8
Assigned: 23 March Due: 30 March
Fracture Mechanics
1. Consider a structural material with a yield strength of 80 ksi 1 and an ultimate tensile strength
of 100 ksi. A very wide plate of this material 2 inches thick contains an edge cr
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 7
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 7
The Entropy Equation for the Control Volume
The Steady State Process and The Tra
MAE 4281
Homework #6
Assigned:
Due:
16 February
23 February
Generalized Hookes Law for Isotropic Material
1. (10 pts) Elastic Engineering Constants
For an isotropic material, the shear modulus G is related to E and according to:
G = E/(2(1+)
This result i
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 4
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 4
The Conservation of Mass and the Control Volume
The Energy Equation
The Steady S
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 5
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 5
Heat Engines and Refrigerators
The Second Law of Thermodynamics
The Reversible a
MAE 4281
Homework Supplement: Non-circular and thin-walled torsion
These problems will not be collected for grading, but are presented here as this material
(particularly thin-walled open and closed cross-section problems) will be covered on Exam 2,
and t
MAE 4281
Homework #7
Assigned: 16 March Due: 23 March
1. Materials
a) Describe the general four digit system of designating aluminum alloys including modifiers.
Cite sources.
b) In MAE 4284 lab you used two types of aluminum alloy: 2024-T4 and 6061-T6511.
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 1
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 1
Introduction to Thermodynamics
Thermodynamic System and Control Volume
Propertie
MAE 4281
Homework #5
Assigned:
Due:
9 February
16 February
1. Stiffened Shear Web Review: Consider the following stiffened shear web structure
Assuming the webs do not buckle, find:
a) The shear flow in each of the webs (observe the given numbering and si
LECTURES IN
THERMODYNAMICS
Claus Borgnakke
CHAPTER 2
For the 8th Edition of:
Fundamentals of Thermodynamics
Claus Borgnakke, Richard Sonntag
John Wiley & Sons, 2013
Chapter 2
Phase Boundaries and The P-v-T Surface
The Two Phase States
The Liquid and Solid