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An efficient approach to study the pulsatile blood flow in femoral and coronary arteries by Differential Quadrature Method

Author

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  • Ghasemi, Seiyed E.
  • Hatami, M.
  • Hatami, J.
  • Sahebi, S.A.R.
  • Ganji, D.D.

Abstract

In this paper, flow analysis for a non-Newtonian third grade blood in coronary and femoral arteries is simulated numerically. Blood is considered as the third grade non-Newtonian fluid under periodic body acceleration motion and pulsatile pressure gradient. Differential Quadrature Method (DQM) and Crank Nicholson Method (CNM) are used to solve the Partial Differential Equation (PDE) governing equation by which a good agreement between them was observed in the results. The influences of some physical parameters such as amplitude, lead angle and body acceleration frequency on non-dimensional velocity and profiles are considered. For instance, the results show that increasing the amplitude, Ag, and reducing the lead angle of body acceleration, ϕ, make higher velocity profiles in the center line of both arteries.

Suggested Citation

  • Ghasemi, Seiyed E. & Hatami, M. & Hatami, J. & Sahebi, S.A.R. & Ganji, D.D., 2016. "An efficient approach to study the pulsatile blood flow in femoral and coronary arteries by Differential Quadrature Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 406-414.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:406-414
    DOI: 10.1016/j.physa.2015.09.039
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    References listed on IDEAS

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    1. Islam M. Eldesoky, 2012. "Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-26, September.
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    Cited by:

    1. Maiti, S. & Shaw, S. & Shit, G.C., 2020. "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Javed, Maryiam & Naz, R., 2020. "Peristaltic flow of a realistic fluid in a compliant channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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