A plate of thickness 2L is initially at temperature Ti. Electricity is suddenly passed through the plate resulting in a volumetric heat generation rate of q””. Simultaneously, the two sides begin to exchange heat by convection with an ambient fluid at T…. The thermal conductivity of the plate is k, heat transfer coefficient h and the thermal diffusivity is a. h T q" 0 x h T Determine the mathematical model to find the one-dimensional transient temperature, T(x,t).

A plate of thickness 2L is initially at temperature Ti. Electricity is suddenly passed through the plate resulting in a volumetric heat generation rate of q””. Simultaneously, the two sides begin to exchange heat by convection with an ambient fluid at T…. The thermal conductivity of the plate is k, heat transfer coefficient h and the thermal diffusivity is a. h T q" 0 x h T Determine the mathematical model to find the one-dimensional transient temperature, T(x,t).

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.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.55P

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