An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate of Q̇1 to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes Q̇2.

Question

An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate of Q̇1 to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes Q̇2. The ratio Q̇2/Q̇1 is

Accepted Answer

√2. For an infinitely long fin, Q=sqrt(h*P*k*A_c)*theta, so Q is proportional to sqrt(k). Doubling k gives Q2/Q1=sqrt(2). Stored '2' is wrong.

Solution

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