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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
Heat ows across the boundaries of each segment along the z-axis by conduction. Fourie rs law of
heat conduction states that the conductive heat ow per unit area is negatively proportional to the
temperature gradient in the direction of ow. The heat ow from the constant temperature source at
the bott om to the rst segment with temperature T
1
is
Q
0
¼kA
T
i
T
Dz=2

¼
T T
1
R
1
(6:278)
The term in parenthesis is the temperature gradient, and k is the thermal conductivity of the material.
R
1
represents the thermal resistance at the lower boundary and is computed from
R
1
¼
Dz
2kA
(6:279)
The internal heat ows are described by
Q
i
¼kA
T
iþ1
T
i
Dz

¼
T
i
T
iþ1
R
iþ1
,
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Publisher Resources

ISBN: 9781439836736