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Analytical Solution for Three-Dimensional Steady Flow of Condensation Film on Inclined Rotating Disk by Optimal Homotopy Analysis Method

Walailak Journal of Science and Technology • 2013
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Publication Information
Authors Hany N. Hassan; M. M. Rashidi
Keywords Homotopy analysis method, optimal convergence-control parameter, series solution, rotating disk, film thickness
Journal Walailak Journal of Science and Technology
Publisher Not Available
Volume 10
Issue 5
Pages 479-498
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper, the Optimal Homotopy analysis method (OHAM) has been used to derive a highly
accurate analytic solution for the steady three-dimensional problem of a condensation film on an inclined
rotating disk. With a similarity solution method, the governing equations can be reduced to a system of
nonlinear ordinary differential equations (ODEs). The control parameter (ħ) in the HAM is derived by
using the averaged residual error method. Using the optimal control parameter provides a superior control
on the convergence and accuracy of the analytical solution. The velocity and temperature profiles are
shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity
of the obtained solutions is verified by the numerical results.