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

Mohammad Mehdi Rashidi | Zendy; S.A. Mohimanian Pour | Zendy

Open Access

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

Author(s) -

Mohammad Mehdi Rashidi,

S.A. Mohimanian Pour

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/613230

Subject(s) - prandtl number , condensation , mathematics , mathematical analysis , nonlinear system , ordinary differential equation , similarity (geometry) , differential equation , differential (mechanical device) , mechanics , physics , heat transfer , thermodynamics , computer science , image (mathematics) , quantum mechanics , artificial intelligence

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.

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