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GATE 2023 PI – Question 60

General Engineering · Thermal and Fluids Engineering · 2 marks · Numerical answer

Water flows in a 0.02 m diameter pipe at Reynolds number 1000. The pipe is heated externally at uniform heat flux; steady flow and heat transfer are fully developed. Water thermal conductivity is 0.66 W/(m·K). Find convective heat-transfer coefficient in W/(m²·K) to two decimals.

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Correct answer: 142.00 to 146.00

Explanation

The flow is laminar. For thermally fully developed laminar flow in a circular pipe with uniform wall heat flux, Nu = 4.36. Therefore $h=Nu\,k/D=4.36(0.66)/0.02=\mathbf{143.88}$ W/(m²·K).

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