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

Si Xinhui, Zheng Liancun, Chen Xuehui, Zhang Xinxin, Cao Limei and Li Min

Computer Methods in Biomechanics and Biomedical Engineering, 2014, vol. 17, issue 4, 423-432

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.

Date: 2014
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DOI: 10.1080/10255842.2012.688108

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