IJPAM: Volume 107, No. 2 (2016)

NUMERICAL SIMULATION USING THE HOMOTOPY
PERTURBATION METHOD FOR A THIN LIQUID
FILM OVER AN UNSTEADY STRETCHING SHEET

Majeed A. Yousif$^1$, Bewar A. Mahmood$^2$
Karmina K. Ali$^3$, Hajar F. Ismael$^4$
$^{1,3,4}$University of Zakho
Kurdistan Region, IRAQ
$^2$University of Duhok
Kurdistan Region, IRAQ


Abstract. In this article, the flow of liquid film over an unsteady elastic stretching surface is analyzed. Similarity transformations are used to transform the governing equations to a nonlinear ordinary differential equation. The differential equation reformulated to system of Voltera integral equations and solved analytically using the new technique of numerical solution called homotopy perturbation method. The results of the proposed method are compared with previously published work and the results are found to be in an excellent agreement. Also, discussed and presented graphically the effects of various parameters Darcy number and unsteadiness parameter.

Received: February 9, 2016

AMS Subject Classification: 74K35, 65-XX

Key Words and Phrases: homotopy perturbation method, thin liquid film, Voltera integral equations, stretching sheet

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DOI: 10.12732/ijpam.v107i2.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 2
Pages: 289 - 300


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