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GATE ME 2015 Set 1 — Question 57

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MCQ+2 / -0.67MediumForced & Free ConvectionConvectionHeat Transfer

Heat Transfer → Convection → Forced & Free Convection

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Question

For flow through a pipe of radius RR, the velocity and temperature distribution are as follows:
u(r,x)=C1u(r,x) = C_1, and T(r,x)=C2[1−(rR)3]T(r,x) = C_2 \left[ 1 - \left( \frac{r}{R} \right)^3 \right], where C1C_1 and C2C_2 are constants.
The bulk mean temperature is given by Tm=2UmR2∫0Ru(r,x)T(r,x)rdrT_m = \frac{2}{U_m R^2} \int_{0}^{R} u(r,x) T(r,x) r dr, with UmU_m being the mean velocity of flow. The value of TmT_m is
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