Differentiation of the laminar pipe flow solution shows that the fluid shear stress τ(r) varies linearlyfrom zero at the axis to τw at the wall. It is claimed that this is also true, at least in the time mean, for fully developedturbulent flow. Can you verify this claim analytically?

Structural Analysis
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Chapter2: Loads On Structures
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Differentiation of the laminar pipe flow solution shows that the fluid shear stress τ(r) varies linearly
from zero at the axis to τw at the wall. It is claimed that this is also true, at least in the time mean, for fully developed
turbulent flow. Can you verify this claim analytically?

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