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).

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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
L
9"
0
L
h
Too
Determine the mathematical model to find the one-dimensional transient temperature, T(x,t).
Transcribed Image Text: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 L 9" 0 L h Too Determine the mathematical model to find the one-dimensional transient temperature, T(x,t).
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