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

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