Analytical Solutions for Unsteady Flow of a Fourth-Grade Fluid Arising in the Metallic Wire Coating Process Inside a Cylindrical Roll Die

作者: M. Abdulhameed , M. Mohamad , H. Saleh , R. Roslan

DOI: 10.1007/S10598-015-9278-X

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摘要: The unsteady flow of a non-Newtonian fluid in metallic wire coating process inside cylindrical roll die is considered. constitutive equations the are modeled for fourth-grade with non-homogenous boundary conditions. Analytical solutions axial velocity field have been obtained explicit forms by modified homotopy perturbation transform method. These written as sum between permanent and transient solutions. However, large values t, both these become identical. compared existing exact solution same problem second grade fluid. Also, graphs representing discussed appropriate conclusions drawn.

参考文章(14)
A. M. Siddiqui, T. Haroon, Rehan Ali Shah, S. Islam, OPTIMAL HOMOTOPY ASYMPTOTIC METHOD SOLUTION OF UNSTEADY SECOND GRADE FLUID IN WIRE COATING ANALYSIS Journal of the Korean Society for Industrial and Applied Mathematics. ,vol. 15, pp. 201- 222 ,(2011) , 10.12941/JKSIAM.2011.15.3.201
A. M. Siddiqui, M. Ahmed, S. Islam, Q. K. Ghori, Homotopy analysis of Couette and Poiseuille flows for fourth grade fluids Acta Mechanica. ,vol. 180, pp. 117- 132 ,(2005) , 10.1007/S00707-005-0260-0
S. Nadeem, M. Ali, Analytical solutions for pipe flow of a fourth grade fluid with Reynold and Vogel's models of viscosities Communications in Nonlinear Science and Numerical Simulation. ,vol. 14, pp. 2073- 2090 ,(2009) , 10.1016/J.CNSNS.2008.05.013
M. Sajid, A.M. Siddiqui, T. Hayat, Wire coating analysis using MHD Oldroyd 8-constant fluid International Journal of Engineering Science. ,vol. 45, pp. 381- 392 ,(2007) , 10.1016/J.IJENGSCI.2007.04.010
H. Saberi nik, M. S. Zahedi, R. Buzhabadi, S. Effati, Homotopy perturbation method and He’s polynomials for solving the porous media equation Computational Mathematics and Modeling. ,vol. 24, pp. 279- 292 ,(2013) , 10.1007/S10598-013-9177-Y
T. Hayat, M. Sajid, M. Ayub, On explicit analytic solution for MHD pipe flow of a fourth grade fluid Communications in Nonlinear Science and Numerical Simulation. ,vol. 13, pp. 745- 751 ,(2008) , 10.1016/J.CNSNS.2006.07.009
Ji-Huan He, Application of homotopy perturbation method to nonlinear wave equations Chaos, Solitons & Fractals. ,vol. 26, pp. 695- 700 ,(2005) , 10.1016/J.CHAOS.2005.03.006
Asghar Ghorbani, Beyond Adomian polynomials: He polynomials Chaos, Solitons & Fractals. ,vol. 39, pp. 1486- 1492 ,(2009) , 10.1016/J.CHAOS.2007.06.034
Rehan Ali Shah, S. Islam, A.M. Siddiqui, Exact solution of a differential equation arising in the wire coating analysis of an unsteady second grade fluid Mathematical and Computer Modelling. ,vol. 57, pp. 1284- 1288 ,(2013) , 10.1016/J.MCM.2012.10.031
Yasir Khan, Qingbiao Wu, Homotopy perturbation transform method for nonlinear equations using He's polynomials Computers & Mathematics With Applications. ,vol. 61, pp. 1963- 1967 ,(2011) , 10.1016/J.CAMWA.2010.08.022