GATE ME 2021 Set 2 — Question 22
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Fluid Mechanics → Viscous & Pipe Flow → Boundary Layer Theory
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Question
Which of the following is responsible for eddy viscosity (or turbulent viscosity) in a turbulent boundary layer on a flat plate?
Correct answer
(B) Reynolds stresses
Solution
In turbulent flow, the total shear stress is the sum of viscous shear stress and turbulent (or eddy) shear stress. The turbulent shear stress arises due to velocity fluctuations and is represented by the Reynolds stresses (). The concept of eddy viscosity (or turbulent viscosity) was introduced by Boussinesq to model these Reynolds stresses in a manner analogous to Newton's law of viscosity. Thus, Reynolds stresses are directly responsible for the manifestation of eddy viscosity in turbulent boundary layers.Option (B) is correct.
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