GATE ME 2026 Set 1 — Question 27
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Heat Transfer → Convection → Forced & Free Convection
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Question
A quiescent fluid at temperature is confined between two vertical parallel plates. While plate 1 is kept at temperature and plate 2 is maintained at temperature , a velocity profile between the plates, as shown in the figure below, is generated due to heat transfer. Which one of the following options shows the correct relations among , , and ?
Correct answer
(A) T₁ T₃ and T₃ T₂
Solution
This is a case of natural convection between two vertical plates. The fluid near a plate with a higher temperature than the bulk fluid () will have a lower density and will rise due to buoyancy. Conversely, fluid near a plate with a lower temperature than will have a higher density and will sink. In the given velocity profile, the fluid near Plate 1 is moving upwards, indicating that . The fluid near Plate 2 is moving downwards, indicating that . Combining these, we get .
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