A composite plane wall consists of a 5-in.-thick layer of insulation (k, = 0.029 Btu/h ft. °R) and a 0.75-in.-thick layer of siding (ks =0.058 Btu/h ft. °R). The inner temperature of the insulation is 67°F. The outer temperature of the siding is -8°F. Determine at steadystate (a) the temperature at the interface of the two layers, in °F, and (b) the rate of heat transfer through the wall in Btu/h.ft² ofsurface area.

Answered: A composite plane wall consists of a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A composite plane wall consists of a 5-in.-thick layer of insulation (k, = 0.029 Btu/h ft. °R) and a 0.75-in.-thick layer of siding (ks =
0.058 Btu/h ft. °R). The inner temperature of the insulation is 67°F. The outer temperature of the siding is -8°F. Determine at steady
state (a) the temperature at the interface of the two layers, in °F, and (b) the rate of heat transfer through the wall in Btu/h.ft² of
surface area.

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Step 1

$G i v e n : T h i c k n e s s o f i n s u l a t i o n l a y e r, t_{1} = 5 i n H e a t t r a n s f e r c o e f f i c i e n t o f i n s u l a t i o n, k_{1} = 0.029 B t u / h . f t . R T h i c k n e s s o f s i d i n g, t_{2} = 0.75 i n H e a t t r a n s f e r c o e f f i c i e n t o f i n s u l a t i o n, k_{2} = 0.058 B t u / h . f t . R I n n e r t e m p e r a t u r e o f i n s u l a t i o n, T_{i} = 67 ° F O u t e r t e m p e r a t u r e o f t h e s i d i n g, T_{o} = - 8 ° F$

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