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Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel

Author

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  • Raftari, Behrouz
  • Parvaneh, Foroud
  • Vajravelu, Kuppalapalle

Abstract

In this paper, we analyze the MHD (magnetohydrodynamic) flow and heat transfer of a second grade non-Newtonian fluid in a channel with porous wall. HAM (Homotopy analysis method) is used to obtain analytical solutions of the governing system of nonlinear ordinary differential equations. The analytical solutions are obtained in the form of infinite series and the convergence of the series solution is discussed explicitly. The obtained results are presented through graphs for several sets of values of the parameters, and the salient features of the solutions are analyzed. A comparison of our HAM results with the available numerical results in the literature (obtained by Runge-Kutta and shooting methods) shows that our results are accurate for a wide range of values of the parameters.

Suggested Citation

  • Raftari, Behrouz & Parvaneh, Foroud & Vajravelu, Kuppalapalle, 2013. "Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel," Energy, Elsevier, vol. 59(C), pages 625-632.
    • Handle: RePEc:eee:energy:v:59:y:2013:i:c:p:625-632
    DOI: 10.1016/j.energy.2013.07.054
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    Cited by:

    1. Janardhana Reddy, G. & Kumar, Mahesh & Anwar Beg, O., 2018. "Effect of temperature dependent viscosity on entropy generation in transient viscoelastic polymeric fluid flow from an isothermal vertical plate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 426-445.
    2. Awais, M., 2015. "Applications of the Numerical Inversion of the Laplace transform to unsteady problems of the third grade fluid," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 228-234.
    3. Zhang, Kaiyu & Wang, Yibai & Tang, Haibin & Li, Yong & Wang, Baojun & York, Thomas M. & Yang, Lijun, 2020. "Two-dimensional analytical investigation into energy conversion and efficiency maximization of magnetohydrodynamic swirling flow actuators," Energy, Elsevier, vol. 209(C).
    4. Hsiao, Kai-Long, 2017. "To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method," Energy, Elsevier, vol. 130(C), pages 486-499.

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