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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.**
*(English)*
Zbl 1251.80002

Summary: 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 results under limiting cases.

### MSC:

80M25 | Other numerical methods (thermodynamics) (MSC2010) |

74K35 | Thin films |

80A20 | Heat and mass transfer, heat flow (MSC2010) |

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\textit{I-C. Liu} and \textit{A. M. Megahed}, J. Appl. Math. 2012, Article ID 418527, 12 p. (2012; Zbl 1251.80002)

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### References:

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