New Iso‐Vector Fields and Invariant Solutions of Electroosmotic Jeffrey Fluid Flow in Expanding or Contracting Channels With Biomedical Implications

Source abstract

This study investigates electroosmotic flow of a Jeffrey fluid within expanding/contracting permeable slip boundaries as a model for cardiac motion. The proposed model provides analytical insight into electroactive pumping mechanisms and may offer theoretical insights relevant to heart‐on‐chip microfluidic platforms and simplified cardiac flow models. Lie symmetry analysis is used to get some new isovector fields and invariant solutions for the biomathematical model of the investigated problem. The complex mathematical model system comprising the governing and energy equations is solved analytically using Lie symmetry analysis and the double perturbation method to explore the effects of the magnetic field, wall motion rate, permeability, electrokinetic parameters, and thermal factors on the flow and temperature fields. From the results, having a wall expansion with an increasing rate ( α > 0) will increase the peak axial velocity of the flow (by up to 40% within the investigated parameter range) compared to the case of a wall contraction ( α < 0), thus making pumping more efficient and improving the symmetry of the streamlines. Also, increasing the electrokinetic parameter ( β 1 ) leads to a flatter axial velocity profile and a notable reduction in the maximum transverse velocity (approximately 25% for the tested range), allowing for more precise control of the recirculation. Increased permeability smooths velocity gradients and aids thermal dissipation. These findings provide theoretical guidance that could inform the development of electroactive pumping systems for simplified microfluidic configurations, through a two‐dimensional simplified mathematical model designed to capture the dominant transport mechanisms associated with periodic wall motion, electroosmotic pumping, and coupled momentum and heat transfer.