Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel : mathematical model

Tripathi, D; Jhorar, R; Beg, OA; Shaw, S

Abstract

A theoretical study is presented of peristaltic hydrodynamics of an aqueous electrolytic nonNewtonian Jeffrey bio-rheological fluid through an asymmetric microchannel under an applied axial electric field. An analytical approach is adopted to obtain the closed form solution for velocity, volumetric flow, pressure difference and stream function. The analysis is also restricted under the low Reynolds number assumption and lubrication theory approximations. Debye-Hückel linearization (i.e. wall zeta potential ≤ 25mV) is also considered. Streamline plots are also presented for the different electro-osmotic parameter, varying magnitudes of the electric field (both aiding and opposing cases) and for different values of the ratio of relaxation to retardation time parameter. Comparisons are also included between the Newtonian and general non-Newtonian Jeffrey fluid cases. The results presented here may be of fundamental interest towards designing lab-on-a-chip devices for flow mixing, cell manipulation, micro-scale pumps etc. Trapping is shown to be more sensitive to an electric field (aiding, opposing and neutral) rather than the electro-osmotic parameter and viscoelastic relaxation to retardation ratio parameter. The results may also help towards the design of organ-on-a-chip like devices for better drug design.

Citation

Tripathi, D., Jhorar, R., Beg, O., & Shaw, S. (2017). Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel : mathematical model. Meccanica, 53(8), 2079-2090. https://doi.org/10.1007/s11012-017-0795-x

• Journal Article Type: Article
• Acceptance Date: Nov 10, 2017
• Online Publication Date: Nov 20, 2017
• Publication Date: Nov 20, 2017
• Deposit Date: Dec 8, 2017
• Publicly Available Date: Nov 20, 2018
• Journal: Meccanica
• Print ISSN: 0025-6455
• Electronic ISSN: 1572-9648
• Publisher: Springer Verlag
• Volume: 53
• Issue: 8
• Pages: 2079-2090
• DOI: https://doi.org/10.1007/s11012-017-0795-x
• Publisher URL: http://dx.doi.org/10.1007/s11012-017-0795-x
• Related Public URLs: https://link.springer.com/journal/11012