A large plane wall has a thickness of 0.4 m, thermal conductivity k= 2.3 W/m. °C, and surface area 30 m². The left side of the wall is maintained at a constant temperature of 90°C while the right side loses heat by convection to the surrounding air at 25°C with a heat transfer coefficient of 24 W/m². °C. Assuming constant thermal conductivity and no heat generation in the wall, (i) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall (ii) Obtain a relation for the variation of temperature in the wall (iii) Evaluate the rate of heat transfer through the wall
A large plane wall has a thickness of 0.4 m, thermal conductivity k= 2.3 W/m. °C, and surface area 30 m². The left side of the wall is maintained at a constant temperature of 90°C while the right side loses heat by convection to the surrounding air at 25°C with a heat transfer coefficient of 24 W/m². °C. Assuming constant thermal conductivity and no heat generation in the wall, (i) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall (ii) Obtain a relation for the variation of temperature in the wall (iii) Evaluate the rate of heat transfer through 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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![A large plane wall has a thickness of 0.4 m, thermal conductivity k= 2.3 W/m.
°C, and surface area 30 m?. The left side of the wall is maintained at a constant
temperature of 90°C while the right side loses heat by convection to the
surrounding air at 25°C with a heat transfer coefficient of 24 W/m². °C.
Assuming constant thermal conductivity and no heat generation in the wall,
(i) Express the differential equation and the boundary conditions for steady
one-dimensional heat conduction through the wall
(ii) Obtain a relation for the variation of temperature in the wall
(iii) Evaluate the rate of heat transfer through the wall](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faac83b7f-0740-40b6-9c1d-5031eb367da9%2F6d8aebba-c3bc-425d-bf9f-9e8b392b496b%2Fvs2az7a_processed.png&w=3840&q=75)
Transcribed Image Text:A large plane wall has a thickness of 0.4 m, thermal conductivity k= 2.3 W/m.
°C, and surface area 30 m?. The left side of the wall is maintained at a constant
temperature of 90°C while the right side loses heat by convection to the
surrounding air at 25°C with a heat transfer coefficient of 24 W/m². °C.
Assuming constant thermal conductivity and no heat generation in the wall,
(i) Express the differential equation and the boundary conditions for steady
one-dimensional heat conduction through the wall
(ii) Obtain a relation for the variation of temperature in the wall
(iii) Evaluate the rate of heat transfer through the wall
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