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2. A rectangular block has thickness B in the x-direction. The side at x = 0 is held at temperature T, while the side at x = B is held at T2. The other four sides are well insulated. Heat is generated in the block at a uniform rate per unit volume of I. (a) Use the conduction equation to derive an expression for the steady-state temperature profile, T(x). Assume constant thermal conductivity. (b) Use the result of part (a) to calculate the maximum temperature in the block for the following values of the parameters: T₁-120 °C k-0.2 W/(m K) B=1.0 m T₂=0 r-100 W/m³

2. A rectangular block has thickness B in the x-direction. The side at x = 0 is held at temperature T, while the side at x = B is held at T2. The other four sides are well insulated. Heat is generated in the block at a uniform rate per unit volume of I. (a) Use the conduction equation to derive an expression for the steady-state temperature profile, T(x). Assume constant thermal conductivity. (b) Use the result of part (a) to calculate the maximum temperature in the block for the following values of the parameters: T₁-120 °C k-0.2 W/(m K) B=1.0 m T₂=0 r-100 W/m³

Elements Of Electromagnetics
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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2. A rectangular block has thickness B in the x-direction. The side at x = 0 is held at temperature T, while the side at x = B is held at T2. The other four sides are well insulated. Heat is generated in the block at a uniform rate per unit volume of [. (a) Use the conduction equation to derive an expression for the steady-state temperature profile, T(x). Assume constant thermal conductivity. (b) Use the result of part (a) to calculate the maximum temperature in the block for the following values of the parameters: T₁-120 °C k-0.2 W/(m K) B-1.0 m T₂-0 F-100 W/m³
Transcribed Image Text:2. A rectangular block has thickness B in the x-direction. The side at x = 0 is held at temperature T, while the side at x = B is held at T2. The other four sides are well insulated. Heat is generated in the block at a uniform rate per unit volume of [. (a) Use the conduction equation to derive an expression for the steady-state temperature profile, T(x). Assume constant thermal conductivity. (b) Use the result of part (a) to calculate the maximum temperature in the block for the following values of the parameters: T₁-120 °C k-0.2 W/(m K) B-1.0 m T₂-0 F-100 W/m³
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