Pulsatile flow of particle-fluid suspension model of blood under periodic body acceleration

A particle-fluid suspension model is applied to the problem of pulsatile bl ood Bow through a circular tube under the influence of body acceleration. W ith the help of finite Hankel and Laplace transforms, analytic expressions for axial velocity for both fluid and particle phase, fluid acceleration, w all shear stress and instantaneous flow rate have been obtained. It is obse rved that the solutions can be used for all feasible values of pulsatile an d body acceleration Reynolds numbers R-p and R-b Using physiological data, the following qualitative and quantitative results have been obtained. The amplitude Q(b) of instantaneous Bow rate due to body acceleration decreases as the tube radius decreases. The effect of the volume fraction of particl e C on Q(b) is to increase it with increase of C in arteriole and to decrea se Q(b) as C increases in coronary and femoral arteries, The maximum of the axial velocity and fluid acceleration shifts from the axis of the tube to the vicinity of the tube wall as the tube diameter increases. The effect of C on the velocity and acceleration are nonuniform. The wall shear amplitud e tau(b) due to body acceleration increases as the tube diameter decreases from femoral to coronary and a further decrease in the tube diameter leads to a decrease in tau(b). The effects of C on tau(b) are again nonuniform.