A possible algorithm for the FDM is provided in the following pseudocode : Algorithm 1 Pseudocode for
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Question:
A possible algorithm for the FDM is provided in the following pseudocode :
Algorithm Pseudocode for the FD method for the heat equation
INPUT: Thermal conductivities k
The
chip, k
The
board, the source schip and the boundary conditions Tbnd
OUTPUT: The array D of the temperature T
procedure finitedifferencemethod
Build the matrix A and the righthand side b
Solve equation for the D array of temperatures x
Build and output the D array of the temperature T
end procedure
You may find it easier to use a function that allows to get the right indices toandfro k i j and
a functions that output the thermal conductivity k
The and the source term s given the indices i j
Applications
Use the developed algorithm to solve the heat transfer for the following two cases :
The case of a chip on the board.
The case of a chip on the heat sink.
You will use the following parameters :
a Geometric dimensions : length of the boardheat sink L cm and centered around the
length of the squared chip l cm and centered around cx cycmcm
b Material properties : k
The
chip W mK
k
The
board W mK and k
The
heatsink W
mK
You will also consider timeindependent densities of heat source with increasing values
Related Book For
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine
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