Open Access

ARTICLE

Non-Newtonian Electroosmotic Flow Effects on a Self-Propelled Undulating Sheet in a Wavy Channel

Rehman Ali Shah^1,2, Zeeshan Asghar^3,*, Chenji Li², Arezoo Ardekani², Nasir Ali¹

1 Department of Mathematics and Statistics, International Islamic University, Islamabad, 44000, Pakistan
2 School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
3 Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia

* Corresponding Author: Zeeshan Asghar. Email:

(This article belongs to the Special Issue: Advances in Mathematical Modeling: Numerical Approaches and Simulation for Computational Biology)

Computer Modeling in Engineering & Sciences 2025, 145(1), 753-778. https://doi.org/10.32604/cmes.2025.069177

Received 16 June 2025; Accepted 11 September 2025; Issue published 30 October 2025

Abstract

The objective of this work is to investigate the dynamics of a self-propelled undulating sheet in a non-Newtonian electrolyte solution inside a wavy channel under the electroosmotic effect. The electrolyte solution, which is non-Newtonian, is modeled as a Carreau-Yasuda fluid. The flow generated by a combination of an undulating sheet and electroosmotic effect is obtained by solving the continuity and momentum equations. The electroosmotic body force term is derived using the Poisson-Boltzmann equation for the electric potential. A fourth-order ordinary differential equation for the stream function is solved under the Stokes flow regime. The dynamics of the undulating sheet’s speed and the energy dissipation it, are investigated. The combined effects of electroosmosis and the viscoelastic properties of the ambient fluid on the undulating sheet are discussed.

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Keywords

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