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The velocity distribution in turbulent flow is a function of the distance ‘y’ measured from the boundary surface and the friction velocity μ* and follows :
1. parabolic law
2. hyperbolic law
3. logarithmic law
4. linear law

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Correct Answer - Option 3 : logarithmic law

Explanation:

Velocity Distribution for Turbulent Flow in pipes.

Prandtl’s universal velocity distribution equation.

\(v = {v_{max}} + 2.5{V^*}{\log _e}\left( {\frac{y}{R}} \right)\)

Where,  \({V^*} = \sqrt {\frac{{{\tau _0}}}{\rho }} = Shear\;or\;friction\;velocity.\)

y = distance from the pipe wall

ρ = Density of fluid.

On observing the above equation we can say that velocity distribution in the turbulent boundary layer follows logarithmic law.

The above equation is valid for both smooth and rough pipes.

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