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The shear stress between two fixed parallel plates with a laminar flow between them
  • a)
    a constant across the gap
  • b)
    varies parabolically as the distance from the mid plane
  • c)
    varies inversely as the distance from the mid plane
  • d)
    varies directly as the distance from the mid plane
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The shear stress between two fixed parallel plates with a laminar flow...
For the flow between two parallel spaced plates (as shown in the figure below): 

The velocity distribution is given by:

Shear stress is given by:

Hence, shear stress varies directly as the distance from the midplane.
Thus, the stress distribution across a section is depicted below:

∴ The shear stress is maximum at the boundaries and zero at the centre.
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The shear stress between two fixed parallel plates with a laminar flow between thema)a constant across the gapb)varies parabolically as the distance from the mid planec)varies inversely as the distance from the mid planed)varies directly as the distance from the mid planeCorrect answer is option 'D'. Can you explain this answer?
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