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A micropolar fluid model of blood flow through a tapered artery with a stenosis

  1. Ilyani Abdullah1,*,
  2. Norsarahaida Amin2

Article first published online: 14 MAY 2010

DOI: 10.1002/mma.1303

Issue

Mathematical Methods in the Applied Sciences

Mathematical Methods in the Applied Sciences

Volume 33, Issue 16, pages 1910–1923, 15 November 2010

Additional Information

How to Cite

Abdullah, I. and Amin, N. (2010), A micropolar fluid model of blood flow through a tapered artery with a stenosis. Math. Meth. Appl. Sci., 33: 1910–1923. doi: 10.1002/mma.1303

Author Information

  1. 1

    Department of Mathematics, Faculty of Science and Technology, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, Malaysia

  2. 2

    Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia

*Department of Mathematics, Faculty of Science and Technology, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, Malaysia

Publication History

  1. Issue published online: 14 MAY 2010
  2. Article first published online: 14 MAY 2010
  3. Manuscript Received: 19 SEP 2008

Funded by

  • JPA (SLAB)
  • Vote 78087
  • UTM
  • UMT

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Keywords:

  • micropolar fluid;
  • blood flow;
  • mathematical model;
  • finite-difference scheme

Abstract

A nonlinear two-dimensional micropolar fluid model for blood flow in a tapered artery with a single stenosis is considered. This model takes into account blood rheology in which blood consists of microelements suspended in plasma. The classical Navier–Stokes theory is inadequate to describe the microrotations or particles' spin of such suspension in a viscous medium. The governing equations involving unsteady nonlinear partial differential equations are solved using a finite difference scheme. A quantitative analysis performed through numerical computation shows that the axial velocity profile and the flow rate decrease and the wall shear stress increases once the artery is narrower in the presence of the polar effect. Furthermore, the taper angle certainly bears the potential to influence the velocity and the flow characteristics to considerable extent. Copyright © 2010 John Wiley & Sons, Ltd.

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