GATE XE (Engineering Sciences) 2025 - Question 36

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Section: Fluid Mechanics | Type: NAT | Marks: 2

Consider, 𝑖 and 𝑗 are unit vectors along x and y directions of a Cartesian (π‘₯, 𝑦) coordinate system, respectively and 𝑑 is time. Temperature (𝑇) and fluid velocity (𝑉⃗ ) are given for a flow field as: 𝑇= π‘₯2 + 𝑦𝑑+ 35 𝑉⃗ = (4π‘₯𝑦)𝑖+ (π‘₯π‘‘βˆ’2𝑦2)𝑗 The total rate of change of temperature in the flow field (in integer) for time 𝑑= 2 at a point (2, 3) is ________

Answer: 71

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