Abstract
A ‘Finite Element’ method has been developed for carrying out the direct numerical analysis of viscous hemodynamic flow in a long tube, under arbitrarily time-varying end pressures. The method yields directly the velocity and shearing stress profiles at the vessel walls. This is here used to study the laminar flow condition for an incompressible fluid, for the inlet section of a straight cylindrical tube as well as a channel for both steady and pulsating flow. The special effect of plugging in such inlet sections for the development of shearing stress and the changes in velocity profile that it produces are studied. Our analysis, originally for radially symmetric plugging is now extended to asymmetric plugging also. The profiles obtained show a high shearing stress at the leading edge of the plug and a rapidly-fluctuating shear stress downstream of the trailing edge.
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