-
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 dp 
1 - 4 
y 
² 
8μ dx h
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 m is the dynamic vicosity term. The maximum and average velocities are, respectively
-
-
umax = - h² dp and uaverage = 2 umax 8μ dx 3 -
umax = h² dp and uaverage = 2 umax 8μ dx 3 -
umax = - h² dp and uaverage = 3 umax 8μ dx 8 -
umax = h² dp and uaverage = 3 umax 8μ dx 8
-
Correct Option: A
dQ = Area × velocity 
Q = A × V
| = | | | = (h × 1) × Umax | ||
| 12μ | dx |
| ∴ Uavg = | | | |||
| 12μ | dx |
At y = 0, U = Umax
| ∴ Umax = | | | |||
| 8μ | dx |
| ∴ | = | | | |||
| Uavg | 12μ | dx | = | |||
| Umax | | | 3 | |||
| 8μ | dx | |||||
