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GATE ME 2022 Set 1 — Question 24

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MCQ+1 / -0.33MediumLocal, Convective & Material AccelerationFluid Kinematics & DynamicsFluid Mechanics

Fluid Mechanics → Fluid Kinematics & Dynamics → Local, Convective & Material Acceleration

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Question

A tiny temperature probe is fully immersed in a flowing fluid and is moving with zero relative velocity with respect to the fluid. The velocity field in the fluid is V⃗=(2x)i^+(y+3t)j^\vec{V} = (2x)\hat{i} + (y + 3t)\hat{j}, and the temperature field in the fluid is T=2x2+xy+4tT = 2x^2 + xy + 4t, where xx and yy are the spatial coordinates, and tt is the time. The time rate of change of temperature recorded by the probe at (x=1,y=1,t=1)(x = 1, y = 1, t = 1) is _______.
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