In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.
REFERENCES(16)
1.
Abbasbandy S. (2006), The application of homotopy analysis method to nonlinear equations arising in heat transfer, Physics Letter, A 360, 109-113.
Allan F., Al-Khaled K. (2006), An approximation of the analytic solution of the shock wave equation, Journal of Computational and Applied Mathematics, 192, 301-309.
Ghosh S., Roy A., Roy D. (2007), An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillators, Computer Methods in Applied Mechanics and Engineering, 196, 1133-1153.
Ghotbi A. R., Barari A. Ganji D. D. (2011), Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method, Mathematical Problems in Engineering, ID 945420.
He J. H. (1999), Variational iteration method: A kind of nonlinear analytical technique: Some examples, International Journal of Non- Linear Mechanics, 344, 699-708.
Jalaal M., Nejad M. G., Jalili P. (2011), Homotopy perturbation method for motion of a spherical solid particle in plane couette fluid flow, Computers and Mathematics with Applications, 61, 2267-2270.
Lesnic D. (2005), Decomposition methods for non-linear, noncharacteristic Cauchy heat problems, Communications in Nonlinear Science and Numerical Simulation, 10, 581-596.
Moghimi S. M., Ganji D. D., Bararnia H., Hosseini M., Jalaal M. (2011), Homotopy perturbation method for nonlinear MHD Jeffery- Hamel problem, Computers and Mathematics with Applications, 61, 2213-2216.
Rashidi R. R., Beg O.A., Rastegari M.T., Mehmood A. (2012), Homotopy study of buoyancy-induced flow of non-newtonian fluids over a non-isothermal surface in a porous medium, International Journal of Applied Mathematics and Mechanics, 8, 34-52.
Sharma P. R., Methi G. (2010), Solution of coupled nonlinear partial differential equations using homotopy perturbation method, International Journal of Applied Mathematics and Mechanics, 6, 33-49.
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