A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m⋅K in which heat is generated uniformly at a rate of 2 kW/cm3. One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T∞= 25oC with convection heat transfer coefficient is 20 W/m2⋅K. a) Express the differential equation and the boundary conditions for steady operating conditions. b) Determine the variation of temperature in the plate. c) Find the inner and outer surface temperatures of plate
A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m⋅K in which heat is generated uniformly at a rate of 2 kW/cm3. One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T∞= 25oC with convection heat transfer coefficient is 20 W/m2⋅K. a) Express the differential equation and the boundary conditions for steady operating conditions. b) Determine the variation of temperature in the plate. c) Find the inner and outer surface temperatures of plate
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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A large plate of 0.5 m thickness and constant thermal conductivity of k=60 W/m⋅K in which heat is generated uniformly at a rate of 2 kW/cm3. One side of the plate is heavily insulated so that there is no heat loss from the insulated side of the plate. The other side of the plate is exposed to the environment at T∞= 25oC with convection heat transfer coefficient is 20 W/m2⋅K.
- a) Express the differential equation and the boundary conditions for steady operating conditions.
- b) Determine the variation of temperature in the plate.
c) Find the inner and outer surface temperatures of plate
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