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Homotopy solution for flow of a micropolar fluid on a continuous moving surface
Author(s) -
Alomari A. K.,
Noorani M. S. M.,
Nazar R.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2275
Subject(s) - homotopy analysis method , mathematics , flow (mathematics) , homotopy , nonlinear system , heat transfer , mathematical analysis , ordinary differential equation , convergence (economics) , isothermal process , partial differential equation , boundary layer , plane (geometry) , mechanics , differential equation , geometry , physics , thermodynamics , quantum mechanics , economic growth , pure mathematics , economics
In this paper, the steady boundary layer flow and heat transfer of a micropolar fluid on an isothermal continuously moving plane surface is studied analytically. It is assumed that the microinertia density is variable and the viscous dissipation effect is taken into account. The system of nonlinear ordinary differential equations is solved analytically using the homotopy analysis method (HAM) and the results are obtained for various flow and heat transfer characteristics. By using HAM, accurate analytic series solutions are obtained in the whole spatial region. Also, a new suggestion for choosing the proper value of the auxiliary parameter ℏ in the convergence region is proposed. It is observed that the present solutions have higher accuracy when the residual error is obtained. The present results show that this algorithm is effective and can be similarly applied to other nonlinear equations. Copyright © 2010 John Wiley & Sons, Ltd.