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    Couette Flow Velocity Distribution

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    Using the log law, determine the velocity distribution for Couette flow between parallel plates a distance h apart, with U = the velocity of the top plate.

    Prove that the centerline velocity is:
    (Re/(4*f))^.5=(1/kappa)*ln((.5)*(Re*f)^.5)+B
    Re=Uh/nu
    f=Tau_wall*h/(mu*U)

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    https://brainmass.com/engineering/mechanical-engineering/couette-flow-velocity-distribution-371801

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    Problem:

    Using the log law, determine the velocity distribution for Couette flow between parallel plates a distance h apart, with U = the velocity of the top plate.

    Prove that the centerline velocity is:
    (Re/(4*f))^.5=(1/kappa)*ln((.5)*(Re*f)^.5)+B
    Re=Uh/nu
    f=Tau_wall*h/(mu*U)

    Solutions:

    The logarithmic law of velocity profile in turbulent flows is a good approximation of the full velocity field, excepting a small area near the wall, where a laminar sublayer needs to be considered.
    Observing a symmetry of the velocity profile about the centerline (as shown in the figure below), the ...

    Solution Summary

    The expert examines Couette Flow velocity distribution for log laws.

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