GATE ME 2017 Set 2 — Question 17
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Fluid Mechanics → Viscous & Pipe Flow → Boundary Layer Theory
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Question
Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by . The axial positions and on the plate are measured from the leading edge in the direction of flow. If , then
Correct answer
(C) τ_w _(x₁) τ_w _(x₂)
Solution
For laminar flow over a flat plate, the local wall shear stress is given by the Blasius solution: This shows that . Therefore, as the distance from the leading edge increases, the wall shear stress decreases. Since , it follows that .
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