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
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.
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.
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