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    Fluid mechanics :sample question

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    Consider the steady flow of a Casson Fluid through a rigid circular pipe of radius R, driven by a pressure gradient . What equation and Boundary conditions govern this motion?

    Show that the Volume flow rate is given by:

    ________________________________________________________________
    BACKGROUND INFO:

    Variables:
    radius of pipe (r=a)
    radius

    Governing Equation:

    Boundary Conditions:
    u(a) = 0

    For Casson Flow, may be 0 in the core.
    Therefore,

    radius of "no shear" region
    rc depends on y (which is only a function of fluid composition and P.
    For =0 (Plug flow)
    full equation applies

    Boundary Conditions:
    @ U=0, r=a

    Q=

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    https://brainmass.com/physics/fluid-dynamics/fluid-mechanics-sample-question-4096

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