Shear stress in a fluid flowing in a round pipe_________________?
Correct answer: D. Is zero at the centre and varies linearly with the radius
- A. Varies parabolically across the cross-section
- B. Remains constant over the cross-section
- C. Is zero at the wall and increases linearly to the centre
- D. Is zero at the centre and varies linearly with the radius
Explanation
A force balance on a cylindrical fluid core gives shear stress proportional to the radial distance from the centre, τ = (−dp/dz)r/2. It is therefore zero at the centre and varies linearly to its maximum at the wall.
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