Blood flows through a tube with a radius of 25 μm and a length of 1,000 μm. the pressure drop across the tube is 30 mmhg. the hematocrit in large vessels (feed hematocrit or discharge hematocrit hd) is 45%. plasma viscosity is 1.03 cp. assume that blood in the tube can be modeled as two immiscible layers: a plasma layer near the wall of thickness 4 um and a blood core region of radius 21 jm
a) use conservation of mass (mass shell balance) to prove that velocity of blood is independent in z direction (vz is not a function of z)
b)use conservation of momentum (r-momentum shell balance) to find the shear stress and velocity distributions in the plasma region and in the blood region. note: make sure to specify the boundary conditions necessary to find the four unknown coefficients that arise in the plasma and core velocity equation: s