Asymmetric viscoelastic flow through a porous channel with expanding or contracting walls: a model for transport of biological fluids through vessels.
In this article, the asymmetric viscoelastic fluid in a rectangular domain bounded by two porous moving channels with expanding or contracting walls is investigated. The governing equations are reduced to an ordinary equation by using suitable similar transformations. Homotopy analysis method is used to obtain the expression for velocity fields. The analytical solutions are influenced by the permeation Reynolds number Re, the wall expansion ratio [Formula: see text] and viscoelastic parameter [Formula: see text]. Graphs are sketched and the effects of some values of parameters, especially the expansion ratio and viscoelastic parameter, on the velocity fields are discussed in detail.
a School of Mathematics and Physics, University of Science and Technology , Beijing 100083 , China.
Si
S
Xinhui
Zheng
Z
Liancun
Zhang
Z
Xinxin
Si
S
Xinyi
Li
L
Min
D001692:Biological Transport; D001826:Body Fluids / Q000378:metabolism*; D004548:Elasticity; D008954:Models, Biological; D016062:Porosity; D014783:Viscosity