Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method

Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method

The differential transform method (DTM) is applied to the steady three-dimensional problem of a condensation film on an inclined rotating disk. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The approximate solutions of these...

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Main Authors: Mohammad Mehdi Rashidi, Seyyed Amin Mohimanian pour
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/613230
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spelling doaj-9c1f42d2231f4895ac8537489721fb502020-11-24T22:29:03ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/613230613230Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform MethodMohammad Mehdi Rashidi0Seyyed Amin Mohimanian pour1Engineering Faculty of Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, IranEngineering Faculty of Bu-Ali Sina University, P.O. Box 65175-4161, Hamedan, IranThe differential transform method (DTM) is applied to the steady three-dimensional problem of a condensation film on an inclined rotating disk. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The approximate solutions of these equations are obtained in the form of series with easily computable terms. The velocity and temperature profiles are shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity of our solutions is verified by the numerical results.http://dx.doi.org/10.1155/2010/613230
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Mehdi Rashidi
Seyyed Amin Mohimanian pour
spellingShingle Mohammad Mehdi Rashidi
Seyyed Amin Mohimanian pour
Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
Mathematical Problems in Engineering
author_facet Mohammad Mehdi Rashidi
Seyyed Amin Mohimanian pour
author_sort Mohammad Mehdi Rashidi
title Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
title_short Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
title_full Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
title_fullStr Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
title_full_unstemmed Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method
title_sort analytic solution of steady three-dimensional problem of condensation film on inclined rotating disk by differential transform method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2010-01-01
description The differential transform method (DTM) is applied to the steady three-dimensional problem of a condensation film on an inclined rotating disk. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The approximate solutions of these equations are obtained in the form of series with easily computable terms. The velocity and temperature profiles are shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity of our solutions is verified by the numerical results.
url http://dx.doi.org/10.1155/2010/613230
work_keys_str_mv AT mohammadmehdirashidi analyticsolutionofsteadythreedimensionalproblemofcondensationfilmoninclinedrotatingdiskbydifferentialtransformmethod
AT seyyedaminmohimanianpour analyticsolutionofsteadythreedimensionalproblemofcondensationfilmoninclinedrotatingdiskbydifferentialtransformmethod
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