GATE ME 2022 Set 2 — Question 65
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Heat Transfer → Convection → Flat Plate & Pipe Correlations
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Question
Consider a hydrodynamically and thermally fully-developed, steady fluid flow of in a uniformly heated pipe with diameter of and length of . A constant heat flux of magnitude is imposed on the outer surface of the pipe. The bulk-mean temperature of the fluid at the entrance to the pipe is . The Reynolds number () of the flow is , and the Prandtl number () of the fluid is . The thermal conductivity and the specific heat of the fluid are and , respectively. The correlation is applicable, where the Nusselt Number () is defined on the basis of the pipe diameter. The pipe surface temperature at the exit is ________ (round off to the nearest integer).
Correct answer
317 to 324
Solution
Given data:
Mass flow rate,
Diameter,
Length,
Heat flux,
Inlet bulk temperature,
,
, Step 1: Calculate the Nusselt number ()
Step 2: Calculate the convective heat transfer coefficient ()
Step 3: Calculate the bulk mean temperature at the exit ()
Total heat transfer,
Using energy balance:
Step 4: Calculate the pipe surface temperature at the exit ()
Rounding to the nearest integer, the surface temperature at the exit is .
Mass flow rate,
Diameter,
Length,
Heat flux,
Inlet bulk temperature,
,
, Step 1: Calculate the Nusselt number ()
Step 2: Calculate the convective heat transfer coefficient ()
Step 3: Calculate the bulk mean temperature at the exit ()
Total heat transfer,
Using energy balance:
Step 4: Calculate the pipe surface temperature at the exit ()
Rounding to the nearest integer, the surface temperature at the exit is .
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