• MATHEMATICAL MODELLING OF PULSATILE HERSCHEL BULKLEY FLUID FLOW THROUGH AN INCLINED STENOSED ARTERY WITH BODY ACCELERATION & SLIP

U. S. SIDDIQUI, CHHAMA AWASTHI*

Abstract


In this study, a mathematical model has been developed to investigate the effect of body acceleration and slip in the pulsatile flow of Herschel Bulkley fluid through an inclined stenosed artery. A Perturbation method is used to solve the system of non linear differential equations with suitable boundary conditions. The analytical expressions for axial velocity, flow rate, wall shear stress and effective viscosity has been derived with the help of MATLAB. The combined effect of body acceleration, slip and inclination has been seen and it has been observed that the axial velocity and flow rate increases with the increase in body acceleration, inclination angle, pressure gradient and slip velocity while decreases with the increase in yield stress and stenosis height. As time increases, wall shear stress gradually decreases and attains symmetry. Effective viscosity decreases with body acceleration and slip. The present study also brings out the effects of asymmetric of the stenosis on the flow characteristics.


Keywords


Stenosis; Blood; Pulsatile flow; Herschel Bulkley Fluid; Slip velocity; Body acceleration.

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