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Heat Transfer
book

Heat Transfer

by Younes Shabany
December 2009
Intermediate to advanced content levelIntermediate to advanced
523 pages
18h 30m
English
CRC Press
Content preview from Heat Transfer
Heat Conduction Equation 179
Solution
Let’s select a coordinate system such that the left and right sides of this wall are at
coordinates x = 0 mm and x = 5 mm, respectively. Temperature of this wall at
steady-state is a function of x only; T = T(x). The differential equation governing
heat conduction inside this wall and the associated boundary conditions are
dT
dx
T
T
2
2
0
0 105
5
=
=
,
() ,
()
Boundary Conditions:
==
70.
The general solution of this equation is
Tx Cx C() .=+
12
The application of the boundary conditions gives
TC
T
() ,
()
0 105 105
570
2
mm °C °C
mm °C
=⇒=
=⇒770 5 105 7
11
°C mm °C °C/mm=⋅ +⇒=−CC.
Substituting for C
1
and C
2
gives the expression ...
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Publisher Resources

ISBN: 9781439814680