A plain wall having a thickness of 100 mm and a thermal conductivity of 15 W/m.K exhibits a heat generation of 19 x 10$ W/m³. For these conditions, the temperature distribution has a form, T(x) = a+bx+cx², where the temperature is in Celsius. The side at x = 0 is well insulated, while the surface at x=L experiences a fluid at 35°C, for which the convection coefficient is 900 W/m².K. a) Sketch the temperature distribution for both the plane and fluid. b) Determine the coefficient a, b, and c. c) Determine the surface heat flux q" at x = L d) what is the maximum temperature in the wall.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A plain wall having a thickness of 100 mm and a thermal conductivity of 15 W/m.K exhibits a
heat generation of 19 x 10$ W/m³. For these conditions, the temperature distribution has a form,
T(x) = a+bx+cx², where the temperature is in Celsius. The side at x = 0 is well insulated, while the
surface at x=L experiences a fluid at 35°C, for which the convection coefficient is 900 W/m².K. a)
Sketch the temperature distribution for both the plane and fluid.
b) Determine the coefficient a, b, and c.
c) Determine the surface heat flux q", at x = L
d) what is the maximum temperature in the wall.
k
Insulao
T
h
Transcribed Image Text:A plain wall having a thickness of 100 mm and a thermal conductivity of 15 W/m.K exhibits a heat generation of 19 x 10$ W/m³. For these conditions, the temperature distribution has a form, T(x) = a+bx+cx², where the temperature is in Celsius. The side at x = 0 is well insulated, while the surface at x=L experiences a fluid at 35°C, for which the convection coefficient is 900 W/m².K. a) Sketch the temperature distribution for both the plane and fluid. b) Determine the coefficient a, b, and c. c) Determine the surface heat flux q", at x = L d) what is the maximum temperature in the wall. k Insulao T h
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