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: T5 = 205ûC after 10 time
steps with Dt = 25 sec)
á
With heat
generation: 4-97 (Partial
answer: T2 = 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 Dx and Dy by a factor of 2).
Possibly
useful links:
Excel spreadsheet: Generic 1D unsteady conduction
Excel spreadsheet: Generic 2D unsteady conduction