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GATE ME 2023 Set 1 — Question 62

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NAT+2 / -0MediumEuler & Bernoulli EquationsFluid Kinematics & DynamicsFluid Mechanics

Fluid Mechanics → Fluid Kinematics & Dynamics → Euler & Bernoulli Equations

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Question

The velocity field of a certain two-dimensional flow is given byV(x,y)=k(xi^−yj^)\mathbf{V}(x, y) = k(x\hat{i} - y\hat{j})where k=2 s−1k = 2 \text{ s}^{-1}. The coordinates xx and yy are in meters. Assume gravitational effects to be negligible.
If the density of the fluid is 1000 kg/m31000 \text{ kg/m}^3 and the pressure at the origin is 100 kPa100 \text{ kPa}, the pressure at the location (2 m,2 m)(2 \text{ m}, 2 \text{ m}) is _____________ kPa.
(Answer in integer)
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