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Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux

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  • I-Chung Liu
  • Ahmed M. Megahed

Abstract

We have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). The effects of various parameters governing the flow and heat transfer in this study are discussed and presented graphically. Comparison of numerical results is made with the earlier published results under limiting cases.

Suggested Citation

  • I-Chung Liu & Ahmed M. Megahed, 2012. "Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, August.
    • Handle: RePEc:hin:jnljam:418527
    DOI: 10.1155/2012/418527
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    Cited by:

    1. Muhammad Sulaiman & Naveed Ahmad Khan & Fahad Sameer Alshammari & Ghaylen Laouini, 2023. "Performance of Heat Transfer in Micropolar Fluid with Isothermal and Isoflux Boundary Conditions Using Supervised Neural Networks," Mathematics, MDPI, vol. 11(5), pages 1-19, February.

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