caa a22 4500 606217150 CHVBK 20210128101106.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10598-015-9278-x doi (NATIONALLICENCE)springer-10.1007/s10598-015-9278-x Analytical Solutions for Unsteady Flow of a Fourth-Grade Fluid Arising in the Metallic Wire Coating Process Inside a Cylindrical Roll Die [Elektronische Daten] [M. Abdulhameed, M. Mohamad, H. Saleh, R. Roslan] The unsteady flow of a non-Newtonian fluid in a metallic wire coating process inside a cylindrical roll die is considered. The constitutive equations of the fluid are modeled for a fourth-grade non-Newtonian fluid with non-homogenous boundary conditions. Analytical solutions for the axial velocity field have been obtained in explicit forms by modified homotopy perturbation transform method. These solutions are written as the sum between the permanent and the transient solutions. However, for large values of t, both of these solutions become identical. The obtained velocity field is compared with the existing exact solution of the same flow problem for a second grade fluid. Also, graphs representing the solutions are discussed and appropriate conclusions drawn. Springer Science+Business Media New York, 2015 wire coating nationallicence cylindrical roll die nationallicence unsteady non-Newtonian fluid nationallicence analytical solution nationallicence Abdulhameed M. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut Mohamad M. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut Saleh H. School of Mathematical Sciences & Solar Energy Research Institute Faculty of Science & Technology Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, DE, Malaysia aut Roslan R. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/3(2015-07-01), 370-384 1046-283X 26:3<370 2015 26 10598 https://doi.org/10.1007/s10598-015-9278-x 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/s10598-015-9278-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abdulhameed M. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut NATIONALLICENCE 700 1- Mohamad M. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut NATIONALLICENCE 700 1- Saleh H. School of Mathematical Sciences & Solar Energy Research Institute Faculty of Science & Technology Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, DE, Malaysia aut NATIONALLICENCE 700 1- Roslan R. Centre for Research in Computational Mathematics Faculty of Science, Technology and Human Development Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor, DT, Malaysia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/3(2015-07-01), 370-384 1046-283X 26:3<370 2015 26 10598