A two-layered suspension blood flow through an overlapping stenosis

The problem of blood flow through an overlapping constriction in arteries has been investigated. To account for the hematocrit and peripheral layer, blood has been represented by a two-layered macroscopic model consisting of a core region of suspension of all the erythrocytes assumed to be a particle–fluid suspension (i.e., a suspension of erythrocytes in plasma) and a peripheral layer of plasma (Newtonian fluid). The expression for the flow characteristics, namely, the impedance, the wall shear stress, the shear stress at the stenosis throats and at critical height of the stenosis has been derived. The impedance increases with the hematocrit as well as with the stenosis size and assumes lower magnitude in two-layered model than its corresponding value in one-layered model for any given hematocrit. The shear stress at the two stenosis throats is same and assumes considerably higher value than its corresponding magnitude at the critical height. With respect to any parameter, the shear stresses at the throats and at the critical height possess the characteristics similar to that of impedance.