The effects of slip velocity on a micropolar fluid through a porous channel with expanding or contracting walls

Abstract

In this paper, a simple mathematical model depicting blood flow in the deforming porous channel is developed with an emphasis on the permeability property of the blood vessel and slip boundary based on Beavers and Joseph slip condition. In this study, the blood is represented by a micropolar fluid. With such an ideal model, the governing equations are reduced to ordinary ones by introducing suitable similar transformations. Homotopy analysis method is employed to obtain the expressions for velocity and microrotation fields. Graphs are sketched for some values of parameters such as slip coefficient and expansion ratio, and the associated dynamic characteristics are analysed in detail.

Keywords::

• homotopy analysis method
• micropolar fluid
• expanding or contracting walls
• porous channel
• slip boundary condition

Acknowledgements

This work is supported by the National Natural Science Foundations of China (Nos 50936003, 50905013, 51004013, and 51174028), 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).