GATE CE 2014 Set 2 — Question 55

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MCQ+2 / -0.67MediumFlow Between Parallel PlatesLaminar & Turbulent FlowWater Resources Engineering

Water Resources Engineering → Laminar & Turbulent Flow → Flow Between Parallel Plates

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With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expressionu=h28μdpdx[14(yh)2]u = - \frac{h^2}{8\mu} \frac{dp}{dx} \left[1 - 4 \left(\frac{y}{h}\right)^2\right]In this equation, the y=0y = 0 axis lies equidistant between the plates at a distance h/2h/2 from the two plates, pp is the pressure variable and μ\mu is the dynamic viscosity term. The maximum and average velocities are, respectively
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