GATE CE 2014 Set 2 — Question 55
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Water Resources Engineering → Laminar & Turbulent Flow → Flow Between Parallel Plates
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Question
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 expressionIn this equation, the axis lies equidistant between the plates at a distance from the two plates, is the pressure variable and is the dynamic viscosity term. The maximum and average velocities are, respectively
Correct answer
(A) uₘₐₓ = - (h²)/(8μ) (dp)/(dx) and u_(average) = (2)/(3) uₘₐₓ
Solution
The velocity distribution is given as .
Thus, option (A) is correct.
1.Maximum Velocity (): The maximum velocity occurs at the center line where .
.2.Average Velocity (): For laminar flow between parallel plates, the average velocity is related to the maximum velocity by the factor .
.Thus, option (A) is correct.
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