Fluid Mechanics

Q1:

For turbulent flow of newtonion fluid in a circular cross-section pipe, the ratio of maximum to average fluid velocity is

A 0.5

B 1

C 0.66

D < 0.5

ANS:B - 1

For turbulent flow of a Newtonian fluid in a circular cross-section pipe, the ratio of maximum to average fluid velocity is approximately 0.66. This ratio is a characteristic of the velocity profile in turbulent flow, where the velocity distribution is more uniform compared to laminar flow. In laminar flow, the velocity profile is parabolic, with the maximum velocity at the centerline being twice the average velocity. However, in turbulent flow, due to mixing and increased momentum transfer across the cross-section, the ratio of maximum velocity (which occurs near the pipe wall) to average velocity is around 0.66. This means the maximum velocity is about 1.5 times the average velocity. Therefore, the correct answer is: 0.66



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