What is the heat transfer per meter of pipe


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Q: A 2.5-cm-OD hot steam line at 100°C runs parallel to a 5.0 cm OD cold water line at 15°C. The pipes are 5 cm center to center and deeply buried in concrete with a thermal conductivity of 0.87 W/(m K). What is the heat transfer per meter of pipe between the two pipes?

GIVEN

A hot steam line runs parallel to a cold water line buried in concrete

Hot pipe outside diameter (Dh) = 2.5 cm = 0.025 m

Hot pipe temperature (Th) = 100°C

Cold pipe outside diameter (Dc) = 5.0 cm = 0.05 m

Cold pipe temperature (Tc) = 15°C

Center to center distance between pipes (l) = 5 cm = 0.05 m

Thermal conductivity of concrete (k) = 0.87 W/(m K)

ASSUMPTIONS

Two dimensional heat transfer between the pipes

Steady state conditions

Uniform thermalconductivity

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Mechanical Engineering: What is the heat transfer per meter of pipe
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