Mathematical Modeling and Analysis of the Steady Electro-Osmotic Flow of Two Immiscible Fluids: A Biomedical Application

Abstract

The in vitro fabrication of big osteoarticular implants integrating biomaterials and cells is of tremendous interest because these tissues have a limited ability to regenerate. However, the growth of such cells in vitro is highly problematic, especially later in the culture, when the extracellular matrix has almost filled the initial porous network. Thus, the fluid flow required to properly perfuse the sample cannot be obtained by the hydraulic driving force alone. Fluid pumping is a central concern of a microfluidic system and electro-osmotic pumps (EOPs) are commonly employed for this purpose. Using electro-kinetic equations as a basis, this study analyzed the variations of a two-fluid electro-osmotic flow of viscoelastic fluid flow through a channel. The behavior of the fluid was studied through the Ellis equation. This is how the electro-osmotic pump functions, as demonstrated in the literature that it electrically drags a conducting fluid across a non-conducting fluid through interfacial dragging force along the channel. A steady-state analytical solution for the system in a conducting fluid channel was studied by undertaking an interface planner for fluids exhibiting Newtonian rheological properties. The pumping characteristics were studied in detail by using the Ellis model’s parameters. The fluid rheology was studied, which showed the viability of this technique.

Investigation of fluid flow pattern in a 3D meandering tube

“…They investigated the impact of various parameters on flow quantities such as velocity, temperature, and concentration. This study also suggest the viability of electro-osmotic pumps for fluid flow in large osteoarticular implants (Hayat et al, 2015;Yasmin et al, 2020a;Yasmin et al, 2020b;Mehmood et al, 2020;Yasmin and Iqbal, 2021;Alyousef et al, 2023).…”

Numerical study of magnetized Powell–Eyring hybrid nanomaterial flow with variable heat transfer in the presence of artificial bacteria: Applications for tumor removal and cancer cell destruction

“…The thermo-physical characteristics of an effective nanofluid can be expressed as follows (Mallick and Misra, 2019;Yasmin, 2022;Alyousef et al, 2023):…”

“…Asha and Sunitha (2018), Gholinia et al (2019), Mallick and Misra (2019), Sultan et al (2019), andBasha andSivaraj (2021) conducted relevant research on this model. In the presence of a magnetic field generated using magnetite (Fe 3 O 4 ), Yasmin (2022), Alyousef et al (2023), Yasmin et al (2023a), Yasmin et al (2023b), andYasmin et al (2023c) performed biomedical investigations of fluid flow and studied nanofluid flow and hybrid nanofluids experimentally and theoretically, with stability analysis in the context of energy storage and other applications.…”

“…Thermophysical characteristics of Fe 3 O 4 magnetite nanoparticles and blood(Alyousef et al, 2023; Yasmin et al, 2023a).…”

Electroosmotically actuated peristaltic-ciliary flow of propylene glycol + water conveying titania nanoparticles

“…An investigation on the coupled impact of pressure-driven flow and electrokinetics is carried out by Yuan et al 3 where they did not ignore the adverse pressure impact on electroosmotic flow. A mathematical model for electroosmotic transport of two immiscible fluids is developed and analyzed by Alyousef et al 4 in which they utilized the Ellis fluid model for the viscoelastic behavior of the considered fluid. Cilia beating is a natural mechanism of physiology that generates effective stroke and recovery stroke.…”