Electro-osmotic propulsion of Jeffrey fluid in a ciliated channel under the effect of nonlinear radiation and heat source/sink

Shaheen, S; Beg, OA; Gul, F; Maqbool, K

Abstract

Mathematical modelling of mechanical system in microfluidics is an emerging area of interest in micro scale engineering. Since microfluidic devices use the hair like structure of artificial cilia for pumping, mixing and sensing in different fields, therefore; electro osmotic cilia driven flow help to generate the fluid velocity for the Newtonian and viscoelastic fluid. Due to the deployment of artificial ciliated walls, the present research reports the combined effect of an electro osmotic flow and convective heat transfer on Jeffrey viscoelastic electrolytic fluid flow in a two-dimensional ciliated vertical channel. Heat generation/absorption and nonlinear radiation effects are included in the present mathematical model. After applying Debye-Huckel approximation and small Reynolds number approximation to momentum and energy equation, the system of nonlinear partial differential equation is reduced into non-homogenous boundary value problem. The problem determines the velocity, pressure and temperature profiles by the application of semi-analytical technique known as Homotopy Perturbation Method (HPM) with the help of software Mathematica. The graphical results of the study suggest that HPM is a reliable methodology for thermo physical electro-osmotic rheological transport in micro channels. [Abstract copyright: Copyright © 2021 by ASME.]

Citation

Shaheen, S., Beg, O., Gul, F., & Maqbool, K. (2021). Electro-osmotic propulsion of Jeffrey fluid in a ciliated channel under the effect of nonlinear radiation and heat source/sink. Journal of Biomechanical Engineering, 143(5), 051008. https://doi.org/10.1115/1.4049810

• Journal Article Type: Article
• Acceptance Date: Jan 9, 2021
• Online Publication Date: Mar 4, 2021
• Publication Date: May 1, 2021
• Deposit Date: Feb 23, 2021
• Publicly Available Date: Mar 4, 2022
• Journal: Journal of Biomechanical Engineering
• Print ISSN: 0148-0731
• Electronic ISSN: 1528-8951
• Publisher: American Society of Mechanical Engineers
• Volume: 143
• Issue: 5
• Pages: 051008
• DOI: https://doi.org/10.1115/1.4049810
• Publisher URL: https://doi.org/10.1115/1.4049810
• Related Public URLs: http://biomechanical.asmedigitalcollection.asme.org/journal.aspx
• Additional Information: Additional Information : ** From PubMed via Jisc Publications Router **Journal IDs: eissn 1528-8951 **Article IDs: pubmed: 33462593; pii: 1096600 **History: accepted 09-01-2021; submitted 11-09-2020; Access Information : ASME © 2021