Analytical solutions for unsteady flow of a fourth-grade fluid arising in the metallic wire coating process inside a cylindrical roll die

被引：2

作者：

Abdulhameed M. ^{[1
]}

Mohamad M. ^{[1
]}

Saleh H. ^{[2
]}

Roslan R. ^{[1
]}

机构：

[1] Centre for Research in Computational Mathematics, Universiti Tun Hussein Onn, Batu Pahat, Johor DT

[2] School of Mathematical Sciences and Solar Energy Research Institute, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor DE

来源：

Computational Mathematics and Modeling | 2015年 / 26卷 / 3期

关键词：

Analytical solution; Cylindrical roll die; Unsteady non-Newtonian fluid; Wire coating;

D O I：

10.1007/s10598-015-9278-x

中图分类号：

学科分类号：

摘要：

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. © 2015 Springer Science+Business Media New York.

引用

页码：370 / 384

页数：14

共 14 条

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