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Computational Hemodynamic Analysis of Flow Through Flexible Permeable Stenotic Tapered Artery

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Abstract

Investigation of couple stress fluid flow through \(\omega \)-shaped stenosed artery addresses many issues of blood flow in particular and circulatory system in general. In this model, physics of the flexible nature of the arterial tapered wall has been incorporated. The effects of pulsatile pressure gradient and stratification in both dynamic viscosity and couple stress viscosity are considered. To make the model more effective and realistic permeable stenosis, slip velocity and vanishing couple stresses at the arterial wall are also incorporated. The numerical solution of the transformed governing equations are obtained by using the finite difference method. The velocity profiles, the volumetric flow rate, the resistance to the flow and the wall shear stress are obtained numerically for various values of fluid and geometric parameters.

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Acknowledgements

The author (PKM) gratefully acknowledge the partial financial support from Special Assistance Programme (SAP-III) sponsored by University Grants Commission (UGC), New Delhi, INDIA (Grant No. F.510/3/DRs-III/2015 (SAP-I)).

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Authors and Affiliations

  1. Department of Applied Mathematics, Defence Institute of Advanced Technolgoy, Pune, 411025, India

    J. V. Ramana Reddy & D. Srikanth

  2. Department of Mathematics, Visva-Bharati University, Santiniketan, 731235, India

    P. K. Mandal

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  1. J. V. Ramana Reddy
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  2. D. Srikanth
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Correspondence to D. Srikanth.

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Reddy, J.V.R., Srikanth, D. & Mandal, P.K. Computational Hemodynamic Analysis of Flow Through Flexible Permeable Stenotic Tapered Artery. Int. J. Appl. Comput. Math 3 (Suppl 1), 1261–1287 (2017). https://doi.org/10.1007/s40819-017-0415-4

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