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PROBLEM 4S.6
K
NOWN:
Shape and surface conditions of a support column.
FIND:
(a) Heat transfer rate per unit length.
(b) Height of a rectangular bar of equivalent
hermal resistance.
t
SCHEMATIC:
ASSUMPTIONS:
(1)Steadystate conditions, (2) Negligible threedimensional conduction
ffects, (3) Constant properties, (4) Adiabatic sides.
e
P
ROPERTIES:
Table A1
, Steel, AISI 1010 (323K):
k = 62.7 W/m
⋅
K.
ANALYSIS:
(a) From the flux plot for the
half section, M
≈
5 and N
≈
8.
Hence for the
f
ull section
()
12
M
S
2
1.25
N
qS
kT T
W
q
1.25 62.7
100 0
C
mK
=≈
=−
′
≈×
−
⋅
D
A
A
<
q
7.8 kW/m.
′ ≈
(
b)
The rectangular bar provides for onedimensional heat transfer.
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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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