In case of laminar flow of fluid through a circular pipe, the__________________?
Correct answer: E. Surface of velocity distribution is a paraboloid of revolution, whose volume equals half the
- A. Shear stress over the cross-section is proportional to the distance from the surface of the pipe
- B. Average flow occurs at a radial distance of 0.5 r from the centre of the pipe (r = pipe radius)
- C. volume of circumscribing cylinder
- D. Velocity profile varies hyperbolically and the shear stress remains constant over the crosssection
- E. Surface of velocity distribution is a paraboloid of revolution, whose volume equals half the
Explanation
For laminar flow in a circular pipe, the velocity profile is parabolic, so its solid of revolution is a paraboloid whose volume is half that of the circumscribing cylinder. The shear stress is zero at the centre and maximum at the wall, not constant.
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