Title: The Casson fluid model for blood flow through an inclined tapered artery of an accelerated body in the presence of magnetic field

Authors: Neetu Srivastava

Addresses: Amrita Vishwa Vidyapeetham University, Bengaluru 560035, India

Abstract: This paper deals with the analytical investigation of Casson model for axisymmetric pulsatile blood flow through an inclined stenosed artery of a periodically accelerated body under the influence of a magnetic field. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalised. For these non-dimensionalised equations, an exact solution representing the different flow characteristic has been derived by employing the perturbation method. Plug flow radius, plug flow velocity, flow rate and impedance analysis of the Casson fluid have been done graphically by varying the yield stress, inclination of artery, body acceleration and pressure gradient. Some important results are obtained pertaining to the medical interest.

Keywords: Casson fluid model; axisymmetric pulsatile blood flow; inclined tapered artery; flow resistance; fluid flow; flow modelling; magnetic field; stenosed artery; plug flow radius; plug flow velocity; flow rate; impedance analysis; yield stress; artery inclination; body acceleration; pressure gradient.

DOI: 10.1504/IJBET.2014.064646

International Journal of Biomedical Engineering and Technology, 2014 Vol.15 No.3, pp.198 - 210

Received: 04 Jan 2014
Accepted: 28 May 2014
Published online: 21 Oct 2014 *

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