Blood flows at volume rate Q in a circular tube of radius R.The blood cells concentrate

Chapter 6, Problem 6.95

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Blood flows at volume rate Q in a circular tube of radius R.The blood cells concentrate and flow near the center of the tube,while the cell-free fluid (plasma) flows in the outer region. Thecenter core of radius Rc has a viscosity c, and the plasma has aviscosity p. Assume laminar, fully developed flow for both thecore and plasma flows and show that an apparent viscosity isdefined byapp R4p8LQis given byapp = p1 (RcR)4 (1 p c)

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