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

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.1P: A plane wall, 7.5 cm thick, generates heat internally at the rate of 105 W/m3. One side of the wall...

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