Journal of Applied Mathematics

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

I-Chung Liu and Ahmed M. Megahed

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 418527, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495272

Digital Object Identifier
doi:10.1155/2012/418527

Mathematical Reviews number (MathSciNet)
MR2965707

Zentralblatt MATH identifier
1251.80002

Citation

Liu, I-Chung; Megahed, Ahmed M. Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux. J. Appl. Math. 2012 (2012), Article ID 418527, 12 pages. doi:10.1155/2012/418527. https://projecteuclid.org/euclid.jam/1355495272


Export citation