Study of Transient Electroosmotic Flow of Magnetized Viscoplastic Fluid in a Rotating Microchannel

Abstract

Understanding electroosmotic flow within rotating microchannels holds significant potential for advancing biomedical technologies, particularly in the development of implants and diagnostic devices that manage biological fluid transport. Such understanding aids in applications like controlled drug delivery and fluid sampling for medical diagnostics. In this study, the transient electroosmotic rotational flow of an electrically conducting Casson fluid within a microchannel is analytically investigated using the Laplace transformation technique. The analysis employs the linear Debye–Hückel approximation to model electric potential behavior within the electrolyte. The governing ordinary differential equations describing the magnetohydrodynamic Casson fluid flow in a rotational frame are solved to obtain exact expressions for axial and transverse velocity components, electrostatic potential, and volumetric flow rate. Validation of the derived analytical solutions is conducted through comparison with existing literature, showing excellent agreement. Graphical analyses of parameter influences indicate that both axial and transverse velocities increase with stronger electroosmotic effects, while magnetic effects suppress the flow velocities. This study contributes valuable insights into microfluidic transport phenomena in non-Newtonian fluids under complex electric and magnetic environments, offering practical relevance for micro-electromechanical systems and lab-on-chip applications.