Asymmetric viscoelastic flow through a porous channel with expanding or contracting walls: a model for transport of biological fluids through vessels

Abstract

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 and viscoelastic parameter . 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.

Keywords::

• homotopy analysis method
• viscoelastic fluid
• expanding or contracting porous walls
• expansion ratio

Acknowledgements

The work is supported by the National Natural Science Foundations of China (Nos 50936003, 50905013, 51004013 and 51174028) and Research Foundation of Engineering Research Institute of USTB (No. Yj2011-015) and the Fundamental Research Funds for the Central Universities (No. FRF-TP-12-108A).

Notes

^1. Current Address: Department of Applied Mathematics, University of Science and Technology, Beijing, China 100083.