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PROBLEM 4.40
K
NOWN:
Nodal point on boundary between two materials.
F
IND:
Finitedifference equation for steadystate conditions.
SCHEMATIC:
ASSUMPTIONS:
(1) Steadystate conditions, (2) Twodimensional conduction, (3) Constant
roperties, (4) No internal heat generation, (5) Negligible thermal contact resistance at interface.
p
ANALYSIS:
The control volume is defined about nodal point 0 as shown above.
The conservation
f energy requirement has the form
o
6
i123456
i1
qqqqqqq 0
=
=+++++=
∑
s
ince all heat rates are shown as
into
the CV.
Each heat rate can be written using Fourier’s law,
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This note was uploaded on 12/07/2010 for the course MAE Heat Trans taught by Professor Lee,j.s. during the Spring '10 term at Seoul National.
 Spring '10
 LEE,J.S.
 Heat Transfer

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