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:
radius of pipe (r=a)
u(a) = 0
For Casson Flow, may be 0 in the core.
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
@ U=0, r=a
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The solution completes the problems through equations.