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Application of homotopy perturbation method on special third grade fluid flow with viscous dissipation effect over a stretching sheet

Author

Listed:
  • Sradharam Swain

    (Department of Mathematics, National Institute of Technology Rourkela, Odisha 769008, India)

  • Bharat Keshari Swain

    (Department of Mathematics, Agarpara College, Bhadrak, Odisha 756115, India)

  • Bikash Sahoo

    (Department of Mathematics, National Institute of Technology Rourkela, Odisha 769008, India)

Abstract

This paper investigates the flow and heat transfer of special third-grade fluid with a viscous dissipation effect over a stretching sheet. This model, adequate for many non-Newtonian fluids, is used to characterize the behavior of the fluids domain. The governing momentum and energy equation are reduced to ordinary nonlinear differential (self-similar) equations via the Lie group transformation method. The Homotopy Perturbation Method (HPM) is applied to solve these obtaining results. For validation, current results have been compared with the fourth-order Runga method (RK4) and shooting technique. The effects of physical parameters on fluid velocity and temperature profile were investigated with the aid of figures and tables by simply altering a single parameter while keeping the others constant. It is observed that both the non-Newtonian parameter and the Prandtl number have the effect of decreasing the temperature of the stretching surface, while the opposite behavior was found for the Eckert number.

Suggested Citation

  • Sradharam Swain & Bharat Keshari Swain & Bikash Sahoo, 2023. "Application of homotopy perturbation method on special third grade fluid flow with viscous dissipation effect over a stretching sheet," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(05), pages 1-17, May.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:05:n:s0129183123500602
    DOI: 10.1142/S0129183123500602
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