caa a22 4500 606217398 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10598-015-9273-2 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9273-2 Application of the Generalized Decomposition Method for Solving the Nonlinear Problem of Jeffery-Hamel Flow [Elektronische Daten] [Mohamed Kezzar, Mohamed Sari] In this paper the nonlinear problem of the two-dimensional flow of an incompressible viscous fluid between nonparallel plane walls is investigated analytically. The third-order nonlinear differential equation governing the dynamic field of the considered flow has been treated by a new analytical method called the generalized decomposition method (GDM). Indeed, this method introduces a new strategy of decomposition that can use all necessary information concerning the terms of series solutions and the nonlinear term Nu. This paper investigates, on the one hand, the velocity distribution in convergent and divergent channels for various Reynolds numbers, Re and various channel half-angles, α, and, on the other hand, the compares our results with the results obtained by the fourth-order Runge Kutta method and other applied analytical methods, thus showing the higher accuracy of the adopted generalized decomposition method. Springer Science+Business Media New York, 2015 Inclined walls nationallicence Jeffery-Hamel flow nationallicence nonlinear problem nationallicence velocity profiles nationallicence skin friction nationallicence generalized decomposition method (GDM) nationallicence Kezzar Mohamed Mechanical Engineering Department, University of Skikda, El Hadaiek Road, B. O. 26, 21000, Skikda, Algeria aut Sari Mohamed Laboratory of Industrial Mechanics, University Badji Mokhtar of Annaba, B. O. 12, 23000, Annaba, Algeria aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 284-297 1046-283X 26:2<284 2015 26 10598 https://doi.org/10.1007/s10598-015-9273-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9273-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kezzar Mohamed Mechanical Engineering Department, University of Skikda, El Hadaiek Road, B. O. 26, 21000, Skikda, Algeria aut NATIONALLICENCE 700 1- Sari Mohamed Laboratory of Industrial Mechanics, University Badji Mokhtar of Annaba, B. O. 12, 23000, Annaba, Algeria aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 284-297 1046-283X 26:2<284 2015 26 10598