Abstract

The electro-osmosis effects on ciliary multiphase flow have broad applications in diverse fields, including microfluidics, biotechnology, chemical engineering, and environmental sciences. In the current analysis, the authors have elaborated the electro-osmosis effects on a ciliary two-phase channel flow of Casson fluid in the presence of solid particles and magnetic effects. The governing equations have been considered for the physical problem by applying the wave frame and dimensionless transformations. A lubrication approach has also been followed by the equations. Systems of differential equations have been solved on well-known software Mathematica by a built-in DSolve tool to acquire the exact solutions. From graphical evidences, it is observed that Helmholtz Smoluchowski velocity factor and solid particles contribution affects the electro-kinetic energy and reduces the flow speed.

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