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GATE ME 2017 Set 2 — Question 47

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MCQ+2 / -0.67MediumLumped Parameter SystemConductionHeat TransferBiot & Fourier Numbers

Heat Transfer → Conduction → Biot & Fourier Numbers

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Question

A metal ball of diameter 60 mm60\text{ mm} is initially at 220∘C220^\circ\text{C}. The ball is suddenly cooled by an air jet of 20∘C20^\circ\text{C}. The heat transfer coefficient is 200 W/m2⋅K200\text{ W/m}^2\cdot\text{K}. The specific heat, thermal conductivity and density of the metal ball are 400 J/kg⋅K400\text{ J/kg}\cdot\text{K}, 400 W/m⋅K400\text{ W/m}\cdot\text{K} and 9000 kg/m39000\text{ kg/m}^3, respectively. The ball temperature (in ∘C^\circ\text{C}) after 9090 seconds will be approximately
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