Heat is lost form a 100 mm diameter steam pipe place horizontally in ambient air at 30 °C. If the Nusselt number is 25 and the thermal conductivity of the air is 0.03 W/m-K, then the heat transfer coefficient will be

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ESE Mechanical 2017 Official Paper
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  1. 7.5 W/m2-K
  2. 15 W/m2
  3. 25 W/m2-K
  4. 35 W/m2-K

Answer (Detailed Solution Below)

Option 1 : 7.5 W/m2-K
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

Nusselt Number is given by

Where h is the heat transfer coefficient, Lc is the characteristic length (4A/P) for pipe it is equal to the diameter of the pipe and k is the thermal conductivity of the fluid.

Calculation:

Given D = 100 mm, Nusselt number Nu = 25, Thermal conductivity k = 0.03 

  

⇒ h = 7.5 W/m2-K

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