BAEN366
SPRING/09
Homework #4
Read Chapter 2
•
Page 70 – 73
Read Chapter 3
•
Page 96 – 99
Answer the following questions
1) What is the physical significance of each term appearing in the
heat equation
?
Heat Equation:
x
∂
∂
(K
x
T
∂
∂
29+
y
∂
∂
(K
y
T
∂
∂
) +
2
∂
∂
(K
2
∂
∂
T
) + q =
ρ
C
p
t
T
∂
∂
x
∂
∂
(K
x
T
∂
∂
29 =
net conduction heat flux into the control volume in the xdirection
y
∂
∂
(K
y
T
∂
∂
) = net conduction heat flux into the control volume in the ydirection
2
∂
∂
(K
2
∂
∂
T
) = net conduction heat flux into the control volume in the zdirection
q = represents the volumetric rate of thermal energy generated
C
p
t
T
∂
∂
= heat stored
2) For onedimensional, steadystate conduction without heat generation, what is the
shape of temperature distribution in a plane wall?
The temperature distribution varies linearly with the direction of heat transfer.
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 Spring '09
 Morena
 Thermodynamics, conduction heat flux, net conduction heat

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