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

Si Xinhui, Zheng Liancun, Zhang Xinxin, Si Xinyi and Li Min

Computer Methods in Biomechanics and Biomedical Engineering, 2014, vol. 17, issue 6, 623-631

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 \[\alpha \] α and viscoelastic parameter \[\omega \] ω. 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.

Date: 2014
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DOI: 10.1080/10255842.2012.708341

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