AME
331, Spring 2008

Problem
set #3

Assigned:
February 22, 2008

Due:
February 29, 2008, 4:30 pm in OHE 430

Lumped
capacity problem: 4-11

Semi-infinite
problem: 4-21 (Answer: 102ûC)

Heisler
chart problem: 4-47

Multidimensional
Heisler chart problem: 4-56 (Answer:
5200 seconds)

Numerical
problems:

á
Calculating nodal
equations: 4-73

á
Plain vanilla
numerical problem: 4-88 (Partial answer: T_{5} = 205ûC after 10 time
steps with Dt = 25 sec)

á
With heat
generation: 4-97 (Partial
answer: T_{2} = 1348ûC after 10 time steps with Dt = 4.37 sec)

*For
the numerical problems check the accuracy of your results by increasing the
resolution in the x and y directions by a factor of 2 (that is, decrease both **D**x and **D**y by a factor of 2).*

Possibly
useful links:

Excel spreadsheet: Generic 1D unsteady conduction

Excel spreadsheet: Generic 2D unsteady conduction