230
Analytical Heat Transfer
TABLE 11.1 (continued)
Blackbody Radiation Functions
λT(μm · K)
F (0→λ)
7600
7800
8000
8500
9000
9500
10,000
10,500
11,000
11,500
12,000
13,000
14,000
15,000
16,000
18,000
20,000
25,000
30,000
40,000
50,000
75,000
100,000
0.839102
0.848005
0.856288
0.874608
0.890029
0.903085
0.914199
0.923710
0.931890
0.939959
0.945098
0.955139
0.962898
0.969981
0.973814
0.980860
0.985602
0.992215
0.995340
0.997967
0.998953
0.999713
0.999905
Source: Data from F. Incropera and D. Dewritt,
Fundamentals of Heat and Mass Transfer,
Fifth Edition, John Wiley & Sons, New
York, NY, 2002.
The radiation constants used to generate these
blackbody functions are
4 /m 2
C 1 = 3.7420 × 10 8 μm
C 2 = 1.4388 × 10 4 μm · K
2 K 4
σ = 5.670 × 10 −8 W/m ·
Therefore, the average emissivity can be calculated as
ε(T s ) = 0.61
and the total emissive power is
E
2
(T
4
s ) = ε(T s )σT = 2161 W/
s
m
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