A numerical study of thin film flow of a non-Newtonian fluid on a vertically moving belt using variational iteration approach
作者： Ali Farooq , Belal Batiha , A M Siddiqui
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摘要: This paper provides an investigation regarding the modeling and analysis of a thin film flow Oldroyd 8-constant fluid on vertically moving belt. The governing nonlinear problem is solved by using Variational Iteration Method (VIM). results present method are then compared with those obtained Adomian Decomposition (ADM) excellent agreement observed. comparison reveals that VIM may be considered as efficient alternative for solving problems arising in non-Newtonian mechanics. Expressions some important physical quantities such volume flux, average velocity, belt speed lifting also derived.
sciencepubco.com 参考文章(19)
Paul R. Milgrom, Robert J. Weber, A theory of auctions and competitive bidding Econometrica. ,vol. 50, pp. 1089- 1122 ,(1982) , 10.2307/1911865
George Adomian, Solving Frontier Problems of Physics: The Decomposition Method ,(1993)
Jonathan Levin, An Optimal Auction for Complements Games and Economic Behavior. ,vol. 18, pp. 176- 192 ,(1997) , 10.1006/GAME.1997.0534
A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane Chaos Solitons & Fractals. ,vol. 35, pp. 140- 147 ,(2008) , 10.1016/J.CHAOS.2006.05.026
A.M. Siddiqui, M. Ahmed, Q.K. Ghori, Thin film flow of non-Newtonian fluids on a moving belt Chaos, Solitons & Fractals. ,vol. 33, pp. 1006- 1016 ,(2007) , 10.1016/J.CHAOS.2006.01.101
Shijun Liao, SA Sherif, Beyond Perturbation: Introduction to the Homotopy Analysis Method ,(2003)
Abdul-Majid Wazwaz, Adomian decomposition method for a reliable treatment of the Emden-Fowler equation Applied Mathematics and Computation. ,vol. 161, pp. 543- 560 ,(2005) , 10.1016/J.AMC.2003.12.048
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
A.M. Siddiqui, M. Hameed, B.M. Siddiqui, Q.K. Ghori, Use of Adomian decomposition method in the study of parallel plate flow of a third grade fluid Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 2388- 2399 ,(2010) , 10.1016/J.CNSNS.2009.05.073
K. Abbaoui, Y. Cherruault, Convergence of Adomian's method applied to nonlinear equations Mathematical and Computer Modelling. ,vol. 20, pp. 69- 73 ,(1994) , 10.1016/0895-7177(94)00163-4