ON THE TWO -,PHASE MODAL FOR A PULSATILE FLOW UNDER PERIODIC BODY ACCELERATION

  • A.S. Abdalla Wassf Isaac
Keywords: finite Hankel, Laplace transforms, pulsatile, acceleration, velocity

Abstract

A particle -fluid suspension model is applied to the problem of pulsatile blood flow through a circular tube under the influence of body acceleration. With the help of finite Hankel and Laplace transforms, analytic expressions for axial velocity for fluiQ and particle phase, fluid acceleration, wall shear stress and instantaneous flow rate have been obtained. It as observed that the solution can be used for all feasible values of pulsatile and body acceleration (as, riding a tractor, operating a jack hammer andsudden and fast movements of body during gymnastics and sports activities). Using physiological data, the following qualitative and quantitative results have been obtained. 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 non-uniform. The effect of C on Tb are again non-uniform.
Published
2008-03-02