Effects of hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 August 2016
Abstract
Purpose
The purpose of this paper is to theoretically study the problem of the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct under the effects of Hall and ion slip. An incompressible and magnetohydrodynamics fluid is also taken into account. The governing equations are modelled under the constraints of low Reynolds number and long wave length. Recent development in biomedical engineering has enabled the use of the periastic flow in modern drug delivery systems with great utility.
Design/methodology/approach
Numerical integration is used to analyse the novel features of volumetric flow rate, average volume flow rate, instantaneous flux and the pressure gradient. The impact of physical parameters is depicted with the help of graphs. The trapping phenomenon is presented through stream lines.
Findings
The results of Newtonian fluid model can be obtained by taking out the effects of Jeffrey parameter from this model. No-slip case is a special case of the present work. The results obtained for the flow of Jeffrey fluid reveal many interesting behaviours that warrant further study on the non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear-thinning reduces the wall shear stress.
Originality/value
The results of this paper are new and original.
Keywords
Acknowledgements
R. Ellahi is grateful to Pakistan Council for Science and Technology (PCST) to honour him with 7th top most Productive Scientist of Pakistan Award “Category A”.
Citation
Ellahi, R., Bhatti, M.M. and Pop, I. (2016), "Effects of hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 6, pp. 1802-1820. https://doi.org/10.1108/HFF-02-2015-0045
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited