An implicit approach to the micropolar fluid model of blood flow under the effect of body acceleration

Abstract

In the present study, the problem of simulating a non-Newtonian and two-dimensional blood flow in a flexible stenosed artery is examined by an implicit finite difference method. The streaming blood in the human artery is represented as a micropolar fluid. The governing non-Linear partial differential equations are modeled in cylindrical coordinates system and following a suitable radial coordinate transformation, they are solved numerically employing a Crank–Nicolson method with a suitable choice of initial and boundary conditions. An implicit approach is obtained for velocity distribution and the numerical solutions of flow rate and resistance impedance at the stenosis throat are founded by using velocity distribution. Effects of different types of tapered arteries, the stenosis and the amplitudes of body acceleration on the blood flow characteristics are presented graphically and discussed briefly. The motion of the arterial wall is paid due attention by comparing the blood flow characteristics through the elastic artery with the rigid ones. It is observed that the obtained results are in good agreement with previously conducted studies.

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Correspondence to Ahmad Reza Haghighi.

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Haghighi, A.R., Aliashrafi, N. & Asl, M.S. An implicit approach to the micropolar fluid model of blood flow under the effect of body acceleration. Math Sci 14, 269–277 (2020). https://doi.org/10.1007/s40096-020-00340-x

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Keywords

  • Blood flow
  • Micropolar fluid
  • Body acceleration
  • Crank–Nicolson method