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GATE ME 2025 Set 1 — Question 51

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NAT+2 / -0MediumFlat Plate & Pipe CorrelationsConvectionHeat Transfer

Heat Transfer → Convection → Flat Plate & Pipe Correlations

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Question

Water enters a tube of diameter, D=60 mmD = 60 \text{ mm} with mass flow rate of 0.01 kg s−10.01 \text{ kg s}^{-1} as shown in the figure below. The inlet mean temperature is Tm,i=293 KT_{m,i} = 293 \text{ K} and the uniform heat flux at the surface of the tube is 2000 W m−22000 \text{ W m}^{-2}. For the exit mean temperature of Tm,o=353 KT_{m,o} = 353 \text{ K}, the length of the tube, LL is ________m (rounded off to 1 decimal place).
Use the specific heat of water as 4181 J kg−1 K−14181 \text{ J kg}^{-1} \text{ K}^{-1}.
Water flowing through a tube of diameter D with uniform heat flux applied to the surface
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