ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 3 Solution
Due date: November 12, 2014
Submit the solutions of only problem 5 - parts b,c and d, only and problem 11 during class on the
due date. In preparing your assignment, pleas
ME521 ANALYTICAL METHODS IN ENGINEERING SPRING 2014
Instructor: Assoc. Prof. Dr. Tuba OKUTUCU Course Assistant: lhan ZTRK
HOMEWORK 4
Due: May 5, 2014, 17:40
() = + 2 ,
QUESTION 1.
0< <3
a. Obtain the half-range cosine and quarter-range sine expansions of
ME 504 Advanced Heat Transfer I
Fall 2016
Homework 2
Questions 1, 3 and 5 are due on: October 31, 2016
The rest are study problems
1. Using an elementary volume, derive the differential formulation for the conservation of energy in a solid in the spherica
ME 504 Advanced Heat Transfer I
Fall 2016
Homework 4
Questions (2) and (3) are due on: December 5, 2016
1. A transformation y(x) = z(x)/ x for the dependent variable y(x) was performed in the
class in the heat generation problem in spherical coordinates.
ME 552
Micro- and Nanoscale Heat Transfer
Fall 2016
https:/odtuclass.metu.edu.tr
Instructor:
Dr. Tuba Okutucu
Office: A-143
E-mail: [email protected]
Schedule:
Tuesday: 8:40-11:30 B-102
Catalog Description:
Concepts of heat transfer at the micro- and na
Research of new packaging and cooling technique for high power fiber
laser used pump coupler
MU Wei, SI Xu, LIN Ya-jun, XU Cheng-lin, MA Yun-liang, XIAO Chun
(No. 23 Research Institute of China Electronics Technology Group Corporation, Shanghai 201900, P.
Electron Spin and Pauli Exclusion Principle
Wavefunctions obtained from the Schrdinger equation
=> represent a possible quantum mechanical state at which a
particle can exist under the given potential.
However, the solution obtained from the S.E. cannot
Optimization of the Heat Transfer in Multi-kW-Fiber-Lasers
B. Zintzena, T. Langera, J. Geigerb, D. Hoffmannb, P. Loosena,b
a
RWTH Aachen, Lehrstuhl Technologie Optischer Systeme, Steinbachstr. 15, 52074 Aachen,
Germany
b
ILT Fraunhofer Institut fr Laserte
THERMAL EFFECTS IN HIGH POWER CW FIBER LASERS
Marc-Andr Lapointe*, Stephane Chatigny, Michel Pich, Michael Cain-Skaff, Jean-Nol Maran,
CorActive High-Tech, 2700 Jean-Perrin, suite 121, Qubec, Canada, G2C 1S9
ABSTRACT
The thermal degradation of double clad
Electron Energy Bands in Real Crystals
In 3-D crystals, there are different crystallographic directions.
Each direction has a different periodicity => different potential profile
e.g. Take a cubic conventional cell
Period
= lattice parameter, a in <100> d
Chapter 3 Energy States in Solids
We will focus on single crystals
The simplest form of solids (atoms are regularly arranged)
Crystal periodicity plays a central role in determining the energy levels.
Crystal structure will be discussed.
Lattices
Po
A Simple Setup to Test Thermal Contact Resistance
Between Interfaces of Two Contacted Solid Materials
Ju Liu1, Han Feng1, Xiaobing Luo1,3*, Run Hu1, Sheng Liu2,3
1 School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuha
ME521 ANALYTICAL METHODS IN ENGINEERING SPRING 2014
Instructor: Assoc. Prof. Dr. Tuba OKUTUCU Course Assistant: lhan ZTRK
SOLUTIONS OF HOMEWORK 1
Q1) Classify the given differential equation as homogeneous / non-homogeneous and linear /
nonlinear, and det
ME521 ANALYTICAL METHODS IN ENGINEERING I SPRING 2014
Instructor: Assoc. Prof. Dr. Tuba OKUTUCU Course Assistant: lhan ZTRK
HOMEWORK 5
Assigned on May 8, 2014, Due date: May 22, 2014, 09:40
QUESTION 1. Derive the following entries in App. D. of your textb
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 3
Due date: November 12, 2014
Submit the solutions of only problem 5 - parts b, c and d, only and problem 11 during class on the
due date. In preparing your assignment, please refer
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 5
Due date: December 10, 2014, Wednesday
Submit the solutions of only problems 11, 12 and 20 during class on the due date. In preparing your
assignment, please refer to the Homework
ME 521 Analytical Methods in Engineering I
Fall 2014
Homework 2 Solutions
Due date: November 5, 2014
3. For each of the differential equations given below
a. Identify p(x) and q(x) and determine the least possible guaranteed radius of convergence of
power
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 4 Solution
Due date: November 26, 2014, Wednesday
Submit the solutions of only problems 8 and 13 during class on the due date. In preparing your
assignment, please refer to the Homew
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 4
Due date: November 26, 2014, Wednesday
Submit the solutions of only problems 8 and 13 during class on the due date. In preparing your
assignment, please refer to the Homework Guide
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 5 Solution
Due date: December 10, 2014, Wednesday
Submit the solutions of only problems 11, 12 and 20 during class on the due date. In preparing your
assignment, please refer to the
ME 521 Analytical Methods in Engineering I
Spring 2014 Section 02
Homework 1
Due date: October 8, 2014
Submit the solutions of only the parts (i), (ii) and (iii) of problem (4.d), problem (5.d) and problem
(6.a), in class. In preparing your assignment, pl
ME 521 Analytical Methods in Engineering I
Fall 2014 Section 02
Homework 2
Due date: November 5, 2014
Submit the solutions of only problems (3.iv) and (8.iii) during class on the due date. In preparing
your assignment, please refer to the Homework Guideli
ME521 ANALYTICAL METHODS IN ENGINEERING SPRING 2014
Instructor: Assoc. Prof. Dr. Tuba OKUTUCU Course Assistant: lhan ZTRK
HOMEWORK 2
Due: April 10, 2014
You should submit your homework personally on its due date to the instructors at the beginning of
the
ME521 ANALYTICAL METHODS IN ENGINEERING SPRING 2014
Instructor: Assoc. Prof. Dr. Tuba OKUTUCU Course Assistant: lhan ZTRK
HOMEWORK 3
Due: April 17, 2014
QUESTION 1. (Corrected) Use () = / | |1/ to obtain general solutions
for the differential equations gi