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Q#1 Convection GATE CH 2024 MCQ +2 marks -0.66 marks

A solid slab of thickness \(H_1\) is initially at a uniform temperature \(T_0\). At a time, t = 0, the temperature of the top surface at \(y= H_1\) is increased to \(T_1\), while the bottom surface at y = 0 is maintained at \(T_0\)for t ≥0. Assume heat transfer occurs only in the y direction, and all thermal properties of the slab are constant. The time required for the temperature at \(y = H_{1/2}\) to reach  99% of its final steady value is \(τ_1\). If the thickness of the slab is doubled to \(H_2 = 2H_1\), and the time required for the temperature at \(y = H_2/2\) to reach 99% of its final steady value is \(τ_2\), then \(\frac{τ_2}{τ_1}\)

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Browse Practice Questions by Chapters / Topics in Browse Practice Questions by Chapters / Topics in GATE Chemical Engineering
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