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Discussion

GATE preparation for Mechanical Engineering
(1)

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Wheat (k = 0.5 W/m-K) is stored on the ground (effectively an adiabatic surface) in 5 m thick layers. Air at 20°C contacts the upper surface of this layer of wheat with h = 3 W/m2–K. The temperature distribution inside this layer is given by,

where Ts is the upper surface temperature, T0 is the lower surface temperature, x is measured upwards from the ground, and L is the thickness of the layer. When the temperature of the upper surface is 24°C, what is the temperature of the wheat next to the ground?

 
39°C
51°C
72°C
84°C

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