Implementation of homotopy analysis method on circular permeable slider containing of incompressible Newtonian fluid

作者: Javad Rahimi , Mazaher Rahimi Esboee , Davod Domairy Ganji , Iman Rahimi-Petrodi , Reza Mohammadyari

DOI: 10.5269/BSPM.V34I1.24643

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摘要: An analysis has been performed to study the classical problem of an incompressible Newtonian fluid is forced through porous a circular slider which moving laterally on horizontal plan. The governing equations for this are reduced ordinary form and solved by Homotopy Analysis Method (HAM) Numerical solution as Boundary Value Problem (BVP). analytical coupled Nonlinear Ordinary Differential Equations resulting from momentum equation obtained Velocity fields have computed discussed different values Reynolds number velocity field. analytic was found be in good agreement with direct numerical solution.

参考文章(19)
Shijun Liao, Optimal Homotopy Analysis Method Springer, Berlin, Heidelberg. pp. 95- 129 ,(2012) , 10.1007/978-3-642-25132-0_3
Uma Srinivasan, The analysis of a double-layered porous slider bearing Wear. ,vol. 42, pp. 205- 215 ,(1977) , 10.1016/0043-1648(77)90052-7
Ji-Huan He, Variational iteration method – a kind of non-linear analytical technique: some examples International Journal of Non-linear Mechanics. ,vol. 34, pp. 699- 708 ,(1999) , 10.1016/S0020-7462(98)00048-1
Yasser Rostamiyan, Domiri Davood Ganji, Rahimi Iman Petroudi, Khazayi Mehdi Nejad, None, Analytical investigation of nonlinear model arising in heat transfer through the porous fin Thermal Science. ,vol. 18, pp. 409- 417 ,(2014) , 10.2298/TSCI111217103R
Naeem Faraz, Study of the effects of the Reynolds number on circular porous slider via variational iteration algorithm-II Computers & Mathematics With Applications. ,vol. 61, pp. 1991- 1994 ,(2011) , 10.1016/J.CAMWA.2010.08.048