Given that the velocity of blood in a round channel is 1 dp 4, dz u(r)...

 

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Given that the velocity of blood in a round channel is 1 dp 4μ, dz u(r) = -- -[(R²-2) + A₁] a) Determine the coefficient 4, for the plasma and cell-rich regions. That is find Aplarma and Acell, where plasma and cell refer to the plasma and cell-rich regions, respectively. b) Determine the expression for shear stress in each region. Be sure to fully SIMPLIFY all your results (also in part a). c) Use MATLAB to plot the velocity profile assuming that the plasma and cell-rich blood viscosities to be 1.2eP and 3cP respectively for a channel diameter of 0.1 mm and for 0.01mm. Assume that plasma layer thickness is 6 = 6um for an hematocrit of 50 and that the pressure gradient dp/dz is constant and is equal to 1. Tip: Since the velocity equation is a parabola, your plot should also resemble a parabolic velocity Given that the velocity of blood in a round channel is 1 dp 4μ, dz u(r) = -- -[(R²-2) + A₁] a) Determine the coefficient 4, for the plasma and cell-rich regions. That is find Aplarma and Acell, where plasma and cell refer to the plasma and cell-rich regions, respectively. b) Determine the expression for shear stress in each region. Be sure to fully SIMPLIFY all your results (also in part a). c) Use MATLAB to plot the velocity profile assuming that the plasma and cell-rich blood viscosities to be 1.2eP and 3cP respectively for a channel diameter of 0.1 mm and for 0.01mm. Assume that plasma layer thickness is 6 = 6um for an hematocrit of 50 and that the pressure gradient dp/dz is constant and is equal to 1. Tip: Since the velocity equation is a parabola, your plot should also resemble a parabolic velocity