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Slip Effects on the Unsteady MHD Pulsatile Blood Flow through Porous Medium in an Artery under the Effect of Body Acceleration

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  • Islam M. Eldesoky

Abstract

Unsteady pulsatile flow of blood through porous medium in an artery has been studied under the influence of periodic body acceleration and slip condition in the presence of magnetic field considering blood as an incompressible electrically conducting fluid. An analytical solution of the equation of motion is obtained by applying the Laplace transform. With a view to illustrating the applicability of the mathematical model developed here, the analytic explicit expressions of axial velocity, wall shear stress, and fluid acceleration are given. The slip condition plays an important role in shear skin, spurt, and hysteresis effects. The fluids that exhibit boundary slip have important technological applications such as in polishing valves of artificial heart and internal cavities. The effects of slip condition, magnetic field, porous medium, and body acceleration have been discussed. The obtained results, for different values of parameters into the problem under consideration, show that the flow is appreciably influenced by the presence of Knudsen number of slip condition, permeability parameter of porous medium, Hartmann number of magnetic field, and frequency of periodic body acceleration. The study is useful for evaluating the role of porosity and slip condition when the body is subjected to magnetic resonance imaging (MRI).

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:860239
    DOI: 10.1155/2012/860239
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    References listed on IDEAS

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    1. Hayat, T. & Hussain, Q. & Ali, N., 2008. "Influence of partial slip on the peristaltic flow in a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3399-3409.
    2. W. Kwang-Hua Chu & J. Fang, 2000. "Peristaltic transport in a slip flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 16(3), pages 543-547, August.
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    Cited by:

    1. Ramzy Abumandour & Islam M. Eldesoky & Mohamed Abumandour & Kareem Morsy & Mohamed M. Ahmed, 2022. "Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study," Mathematics, MDPI, vol. 10(3), pages 1-20, February.
    2. Ghalib, M. Mansha & Zafar, Azhar A. & Riaz, M. Bilal & Hammouch, Z. & Shabbir, Khurram, 2020. "Analytical approach for the steady MHD conjugate viscous fluid flow in a porous medium with nonsingular fractional derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    3. 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.

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    1. Ramzy Abumandour & Islam M. Eldesoky & Mohamed Abumandour & Kareem Morsy & Mohamed M. Ahmed, 2022. "Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study," Mathematics, MDPI, vol. 10(3), pages 1-20, February.

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