Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 2.3 W/m. °C, and surface area A = 20 m². The left side of the wall is maintained at a constant tem- perature of T₁ = 80°C while the right side loses heat by con- vection to the surrounding air at T = 15°C with a heat transfer coefficient of h = 24 W/m². °C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the rate of heat trans- fer through the wall. Answer: (c) 6030 W
Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k = 2.3 W/m. °C, and surface area A = 20 m². The left side of the wall is maintained at a constant tem- perature of T₁ = 80°C while the right side loses heat by con- vection to the surrounding air at T = 15°C with a heat transfer coefficient of h = 24 W/m². °C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the rate of heat trans- fer through the wall. Answer: (c) 6030 W
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 2.25P: Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner...
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