Title :
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
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;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002441
