GATE ME 2024 Set 1 — Question 18
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Heat Transfer → Convection → Flat Plate & Pipe Correlations
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Question
Consider incompressible laminar flow over a flat plate with freestream velocity of . The Nusselt number corresponding to this flow velocity is . If the freestream velocity is doubled, the Nusselt number changes to . Choose the correct option for .
Correct answer
(A) √(2)
Solution
For incompressible laminar flow over a flat plate, the average Nusselt number () is related to the Reynolds number () by the following correlation:The Reynolds number is defined as , which means .
Therefore, .
Given:
When the velocity is doubled ():
Taking the ratio:Thus, the correct option is (A).
Therefore, .
Given:
When the velocity is doubled ():
Taking the ratio:Thus, the correct option is (A).
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