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GATE ME 2021 Set 2 — Question 55

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NAT+2 / -0Medium1D Steady ConductionConductionHeat TransferThermal Boundary LayerConvection

Heat Transfer → Conduction → 1D Steady Conduction

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Question

Ambient air flows over a heated slab having flat, top surface at y=0y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T(y)=300+200exp⁡(−5y)T(y) = 300 + 200 \exp(-5y), where yy is the distance measured from the slab surface in meter. If the thermal conductivity of air is 1.0 W/m⋅K1.0\text{ W/m}\cdot\text{K} and that of the slab is 100 W/m⋅K100\text{ W/m}\cdot\text{K}, then the magnitude of temperature gradient ∣dT/dy∣|dT/dy| within the slab at y=0y = 0 is __________ K/m\text{K/m} (round off to the nearest integer).
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