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Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus

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  • Sadaf, Hina
  • Akbar, Muhammad Usman
  • Nadeem, S.

Abstract

This paper examines the peristaltic flow of Williamson nanofluid in an annulus in the presence of induced magnetic field. Present problem is determined under the molds of long wavelength and low Reynolds number approximation. This theoretical problem can be considered as a mathematical illustration to the movement of fluids in the presence of an endoscope or catheter tube. The inner cylinder is rigid, whereas the outward cylinder proceeds a sinusoidal wave moving down its walls. The analytical solution is obtained by using Homotopy perturbation method. Mathematica numerical simulations are adopted to calculate frictional forces and pressure rise. Behavior of various physical parameters is presented through graphs. It is found that induced magnetic field and current density enhance by increasing value of magnetic Reynolds number. It is also found that temperature profile upturns with an upturn in Brownian motion and thermophoresis parameter.

Suggested Citation

  • Sadaf, Hina & Akbar, Muhammad Usman & Nadeem, S., 2018. "Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 148(C), pages 16-36.
    • Handle: RePEc:eee:matcom:v:148:y:2018:i:c:p:16-36
    DOI: 10.1016/j.matcom.2017.12.009
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    References listed on IDEAS

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    1. Odibat, Zaid & Momani, Shaher, 2008. "Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 167-174.
    2. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    3. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
    4. Mekheimer, Kh.S. & Abd elmaboud, Y., 2008. "Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2403-2415.
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    Cited by:

    1. Abbas, Nadeem & Malik, M.Y. & Alqarni, M.S. & Nadeem, S., 2020. "Study of three dimensional stagnation point flow of hybrid nanofluid over an isotropic slip surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

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