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Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel

Saeed Ghorbani (Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran)
Ali Jabari Moghadam (Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran)
Amin Emamian (Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran)
R. Ellahi (Department of Mathematics and Statistics, FBAS, IIU, Islamabad, Pakistan; Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia and Fulbright Fellow Department of Mechanical Engineering, University of California Riverside, USA)
Sadiq M. Sait (Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 27 September 2021

Issue publication date: 16 May 2022

243

Abstract

Purpose

In this paper aims to investigate the numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel. Electromagnetic current is generated by applying an effective electric field in the direction of the current.

Design/methodology/approach

The non-Newtonian model used is the five-constant Carreau-Yasuda model which the non-Newtonian properties of the fluid can be well modeled. Using the finite difference method, the potential values at all points in the domain are obtained. Then, the governing equations (momentum conservation) and the energy equation are segregated and solved using a finite difference method.

Findings

In this paper, the effect of various parameters such as Weisenberg number, electrokinetic diameter, exponential power number on the velocity field and Brinkman and Pecklet dimensionless numbers on temperature distribution are investigated. The results show that increasing the Weissenberg dimensionless number and exponential power and diameter parameters reduces the maximum velocity field in the microchannel.

Originality/value

To the best of the authors’ knowledge, this study is reported for the first time.

Keywords

Acknowledgements

The authors would like to acknowledge Dr Oveis Pourmehran from the University of Adelaide, Australia, for his constructive guidance in preparation of the manuscript.

Citation

Ghorbani, S., Jabari Moghadam, A., Emamian, A., Ellahi, R. and Sait, S.M. (2022), "Numerical simulation of the electroosmotic flow of the Carreau-Yasuda model in the rectangular microchannel", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 7, pp. 2240-2259. https://doi.org/10.1108/HFF-07-2021-0495

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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