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Analytic solution of natural convection flow of a non‐newtonian fluid between two vertical flat plates by using decomposition method
Author(s) -
Ganji D. D.,
Eskandarinia F.,
Ganji Z. Z.,
Ganji Hossain D.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20584
Subject(s) - adomian decomposition method , natural convection , mathematics , non newtonian fluid , newtonian fluid , partial differential equation , boundary layer , flow (mathematics) , domain decomposition methods , mathematical analysis , mechanics , boundary value problem , heat transfer , thermodynamics , geometry , physics , finite element method
An analysis has been performed to study the natural convection of a non‐Newtonian fluid between two infinite parallel vertical flat plates and the effects of the non‐Newtonian nature of fluid on the heat transfer are studied. The governing boundary layer and temperature equations for this problem are reduced to an ordinary form and are solved by Adomian decomposition method (ADM) and numerical method. Velocity and temperature profiles are shown graphically. The obtained results are valid for the whole solution domain with high accuracy. These methods can be easily extended to other linear and non‐linear equations and so can be found widely applicable in engineering and science. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1384–1395, 2010