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Variational Approach of Marangoni Mixed Convection Boundary Layer Flow with Pade Technique
Author(s) -
Murat Gubes,
Galip Oturanç
Publication year - 2016
Publication title -
journal of applied fluid mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.469
H-Index - 30
eISSN - 1735-3645
pISSN - 1735-3572
DOI - 10.29252/jafm.09.06.25580
Subject(s) - padé approximant , dimensionless quantity , flow (mathematics) , mathematics , buoyancy , marangoni effect , boundary layer , mathematical analysis , runge–kutta methods , convection , boundary (topology) , variational principle , mechanics , physics , numerical analysis
In this paper, Variational Iteration method with combining Pade approximation (Modified Variational Iteration Method-MVIM) is performed to Marangoni convection flow over the surface with buoyancy effects which is occurred gravity and external pressure. After the appropriate transformation of equations, we get the dimensionless form to solve numerically with modified variational iteration method. We compare the our results with well-known asymptotic expansion method used by Zhang Yan and Zheng Liancun and also compare with Fourth order Runge Kutta solution which are presented in tables. Very efficient and accurate results are obtained with presented method.

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