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Group – B (Solutions)
Problem 1 –
a)
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Because of increase in
k
heat would be conducted more rapidly and slopes of
the temperature profile would be steeper as compared to part (a) temperature
profile.
c)
Same as part (a). Because change in density and
k
would offset each other.
d)
Problem 2 –
Given 
T
i
= 900
o
C,
T
s
= 0
o
C,
T
h
= 270
o
C, t=1 s
Transient 1D conduction in an infinite, plane wall is given by
( , )
()
2
s
is
T x t
T
x
erf
TT
t
2
hs
x
erf
t
270 0
900 0
2
x
erf
t
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0.3
(
)
2
x
erf
t
By using Gaussian error function table (from supplementary material)
0.2724
2
x
t
0.2724 2
xt
6
0.2724 2 4 10
1
x
1.089
x
mm
Problem 3 –
Given 
xy
a)
0
. .
. .
0
(
).
2
2
2
s
c
E
c
c
T
T
T
T
x
x
x
E
k
k
h T
T
xx
(
)
(
)
0
(
).
0
2
2
2
s
c
E
c
c
k
k
x
T
T
T
T
h T
T
After rearranging terms
(2
)
0
s
E
c
h x
h x
T
T
T
T
kk
b)
0
. .
. .
. .
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This note was uploaded on 11/30/2011 for the course EML 4140 taught by Professor Any during the Fall '08 term at University of Florida.
 Fall '08
 Any
 Heat Transfer

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