GATE ME 2023 Set 1 — Question 47

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MSQ+2 / -0MediumLumped Parameter SystemConductionHeat TransferBiot & Fourier Numbers

Heat Transfer → Conduction → Biot & Fourier Numbers

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Question

A very large metal plate of thickness dd and thermal conductivity kk is cooled by a stream of air at temperature T=300 KT_\infty = 300\text{ K} with a heat transfer coefficient hh, as shown in the figure. The centerline temperature of the plate is TPT_P. In which of the following case(s) can the lumped parameter model be used to study the heat transfer in the metal plate?
Metal plate cooling diagram
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