Adomian method solution for flow of a viscoelastic fluid through a porous channel with expanding or contracting walls

Author

Chen, Yuying ; Si, Xinhui ; Shen, Bingyu

Author_Institution

Dept. of Math. & Mech., Univ. of Sci. & Technol. Beijing, Beijing, China

fYear

2011

fDate

26-28 July 2011

Firstpage

2393

Lastpage

2396

Abstract

Flow of a viscoelastic fluid in porous channels with expanding or contracting walls is investigated. Using similar transformation, the governing equations are reduced to a nonlinear fifthorder differential equation. The Adomian method is employed to obtain the expression for velocity fields. The analytical solutions are influenced by the permeation Reynolds number Re, the wall expansion ratio α and viscoelastic parameter ω. The effects of some values of parameters on velocity are discussed in details.

Keywords

channel flow; computational fluid dynamics; difference equations; flow through porous media; non-Newtonian flow; non-Newtonian fluids; Adomian method solution; contracting walls; expanding walls; nonlinear fifthorder differential equation; permeation Reynolds number; porous channel; velocity fields; viscoelastic fluid; wall expansion ratio; Blood; Boundary conditions; Equations; Fluids; Mathematical model; Permeability; Adomian method; Porous expanding or contracting channel; Viscoelastic fluid;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002441

Filename

6002441