Pulsatile Flow of Casson Fluid in Mild Stenosed Artery with Periodic Body Acceleration and Slip Condition
Journal Title: Scholars Journal of Engineering and Technology - Year 2013, Vol 1, Issue 1
Abstract
The pulsatile flow of blood through a mild stenosed artery under periodic body acceleration is investigated in this theoretical analysis. The Casson fluid model of blood and the presence of slip (velocity discontinuity) at the flow boundaries (stenosed vessel walls) are given due consideration in the analysis. The geometry of the stenosis to be manifested in the arterial segment is assumed to be an axisymmetric surface generated by a smooth cosine curve. On using perturbation technique, the flow velocity u is expanded in terms of the Womersley frequency parameter α2 (where α2<< 1) and analytic expressions for velocity profile, flow rate, wall shear stress and effective viscosity are derived. An extensive quantitative analysis is carried out by performing large scale numerical computations of the above flow variables having physiological significance. The diagrammatic representation of the flow variables with the change of parameters are given with scientific discussion. Finally comparisons are made with the other existing results to justify the applicability of the model.
Authors and Affiliations
B. Basu Mallik, Saktipada Nanda, Bhabatosh Das, Debanshu Saha, Debanu Shankar Das, Koustav Paul
Keywords
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