Civil Engineering > GATE 2014 SET-2 > Laminar Flow
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 expression u = -(h2 / 8µ)(dp/dx)(1 - 4(y/h)2). In this equation, the y = 0 axis lies equidistant between the plates at a distance h/2 from the two plates, p is the pressure variable and µ is the dynamic viscosity term. The maximum and average velocities are, respectively ______.
A
umax = -(h2 / 8µ)(dp/dx) and uaverage = (2/3)umax
B
umax = (h2 / 8µ)(dp/dx) and uaverage = (2/3)umax
C
umax = -(h2 / 8µ)(dp/dx) and uaverage = (3/8)umax
D
umax = (h2 / 8µ)(dp/dx) and uaverage = (3/8)umax

Correct : a

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