(b) The inner and outer surfaces of a 25-cm-thick wall are at 27 C and 45 C, respectively. The outer surface of the wall exchanges heat by radiation with surrounding surfaces at 40 C and convection with ambient air at 42 C, with convection heat transfer coefficient of 9.0 W/m? K. Solar radiation incident on the surface is at a rate of 150 W/m?. If the emissivity and the solar absorptivity of the outer surface are 0.75 and 0.85, respectively: write the expression of the energy balance at the outer surface; (i) (ii) write the expression of conduction heat flux; (iii) calculate the convection heat flux; (iv) calculate the radiation heat flux; (v) calculate the effective thermal conductivity of the wall.
(b) The inner and outer surfaces of a 25-cm-thick wall are at 27 C and 45 C, respectively. The outer surface of the wall exchanges heat by radiation with surrounding surfaces at 40 C and convection with ambient air at 42 C, with convection heat transfer coefficient of 9.0 W/m? K. Solar radiation incident on the surface is at a rate of 150 W/m?. If the emissivity and the solar absorptivity of the outer surface are 0.75 and 0.85, respectively: write the expression of the energy balance at the outer surface; (i) (ii) write the expression of conduction heat flux; (iii) calculate the convection heat flux; (iv) calculate the radiation heat flux; (v) calculate the effective thermal conductivity of the wall.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:(b)
The inner and outer surfaces of a 25-cm-thick wall are at 27
SC and 45 C, respectively. The outer surface of the wall
exchanges heat by radiation with surrounding surfaces at 40
C. and convection with ambient air at 42 C with convection
heat transfer coefficient of 9.0 W/m? K. Solar radiation incident
on the surface is at a rate of 150 W/m?. If the emissivity and
the solar absorptivity of the outer surface are 0.75 and 0.85,
respectively:
write the expression of the energy balance at the outer
surface;
(i)
(ii)
write the expression of conduction heat flux;
(iii)
calculate the convection heat flux;
(iv)
calculate the radiation heat flux,
(v)
calculate the effective thermal conductivity of the wall.
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