For approximate calculations, the sun may be considered a black body, emitting radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis, estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the surface of the sun. Solution. a. From Wien's displacement law, 0.2884 (0.2884 cm ° K) T = Amax = 5760° K = 10,400° R (0.5 x 104 cm) b. From the Stefan-Boltzmann law, - (0.1712 x 10-8)(10,400)ª = 2.0 x 10' Btu hr" ft-2

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.66P
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For approximate calculations, the sun may be considered a black body, emitting
radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis,
estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the
surface of the sun.
Solution.
a. From Wien's displacement law,
0.2884 (0.2884 cm ° K)
T =
Amax
= 5760° K = 10,400° R
(0.5 x 104 cm)
b. From the Stefan-Boltzmann law,
- (0.1712 x 10-8)(10,400)ª
= 2.0 x 10' Btu hr" ft-2
Transcribed Image Text:For approximate calculations, the sun may be considered a black body, emitting radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis, estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the surface of the sun. Solution. a. From Wien's displacement law, 0.2884 (0.2884 cm ° K) T = Amax = 5760° K = 10,400° R (0.5 x 104 cm) b. From the Stefan-Boltzmann law, - (0.1712 x 10-8)(10,400)ª = 2.0 x 10' Btu hr" ft-2
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