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Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet

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  • Ene, Remus-Daniel
  • Marinca, Vasile

Abstract

In the present paper, the approximate solutions for steady boundary layer of the MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet are given. The nonlinear partial differential equations are reduced to an ordinary differential equations by the similarity transformations, taking into account velocity slip, thermal slip and the boundary conditions. These equations are solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM). This approach is highly efficient and it controls the convergence of the approximate solutions. OHAM is very efficient in practice, ensuring a very rapid convergence of the solutions after only one iteration. It does not need small or large parameters in the governing equations. Approximate solutions obtained through OHAM are compared with the results obtained by shooting method. It is found a very good agreement between these solutions.

Suggested Citation

  • Ene, Remus-Daniel & Marinca, Vasile, 2015. "Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 389-401.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:389-401
    DOI: 10.1016/j.amc.2015.07.038
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    Cited by:

    1. Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    2. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions," Mathematics, MDPI, vol. 11(7), pages 1-22, March.
    3. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow," Mathematics, MDPI, vol. 11(9), pages 1-28, May.

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