Two-layered electroosmotic flow through a vertical microchannel with fractional Cattaneo heat flux

Electroosmotic flow of fractional Oldroyd‐B fluid through a vertical microchannel filled with a homogeneous porous medium: Numerical and semianalytical solutions

“…Important contributions regarding electroosmotic flow (EOF) for various types of fluids with time-fractional derivatives have been discussed in Wang and colleagues. [22][23][24][25][26][27][28][29] Fluid flow through porous media has grown increasingly relevant in the chemical and petroleum industries in recent years. Due to the high demands of such different disciplines, the interest in fluid flows across porous surfaces has developed significantly.…”

“…Caputo‐Fabrizio fractional‐order derivatives come in handy by using the Laplace transform. Important contributions regarding electroosmotic flow (EOF) for various types of fluids with time‐fractional derivatives have been discussed in Wang and colleagues 22–29 …”

Role of electromagnetic analysis in radiative immiscible Newtonian and non‐Newtonian fluids through a microchannel with chemical reactions

“…Electroosmotic flow is the fundamental phenomenon of electrokinetic, which activate by applying the external electric field to the charged surface. The various applications of electroosmotic flow occur in medical science, micro‐electro‐mechanical systems, and analytical chemistry 13 . Due to these numerous applications, it becomes the most fascinated field to many researchers.…”

“…The various applications of electroosmotic flow occur in medical science, micro-electro-mechanical systems, and analytical chemistry. 13 Due to these numerous applications, it becomes the most fascinated field to many researchers. Tripathi et al 14 illustrated the effects of buoyancy, Joule heating, and applied magnetic field to analyze the peristaltic pumping of couple stress water-based titanium dioxide (TiO 2 ) and silver (Ag) hybrid nanofluids through a microchannel regulated by the electroosmosis mechanism and concluded that Helmholtz-Smoluchowski velocity enhances the nanoparticle temperature.…”

Transforming Navier‐stokes equation to a fourth order nonlinear differential equation for the study of electrolyte flow in a circular microchannel

“…Their results can be used in microscale energy applications such as bio-inspired electroosmotic nanofluid pumping. Abd Elmaboud [46] analytically studied the unsteady electroosmotic flow and heat transfer of two layers of immiscible Newtonian and non-Newtonian fluids through a vertical microchannel under the effects of an alternating current electric field. He applied finite Fourier F I G U R E 1 A schematic of electrostatic driven flow in a cylindrical microchannel along with the coordinate system sine and Laplace transforms and their numerical inverses to obtain semi-analytical solutions.…”