Electroosmosis of Powell–Eyring fluids under interfacial slip

Abstract

We investigate the EOF of a Powell-Eyring fluid through a slit microchannel, employing Navier slip boundary condition. Using an analytical scheme consistent with the homotopy perturbation method, we bring out the alteration in the underlying flow dynamics as attributable to the nonlinear interactions between fluid rheology and electrostatics over interfacial scales. We validate the approximate analytical solutions by comparing those with results from numerical analysis. We unveil a regime of phenomenal amplification in the net volumetric flow rate, realized as a consequence of an intricate interplay between interfacial electromechanics, slipping hydrodynamics, and the flow rheology. Our results may have far ranging consequences in the design of various biomicrofluidic devises/systems, which are often used for the manipulation of non-Newtonain fluids.

Dual stratified mixed convection flow of Eyring-Powell fluid over an inclined stretching cylinder with heat generation/absorption effect

“…(20) reduces to the flow problem identified by Ishak and Nazar. 29 Furthermore, in the absence of curvature parameter (i-e K= 0) with (9) and eq. (20) reduces to the flow problem given by Grubka and Bobba.…”

“…26 Khan et al 27 studied thermophoretic, heat and mass diffusion in MHD Eyring-Powell fluid flow along a vertical stretching sheet with chemical and joule heating effects. The influence of mixed convection on Eyring-Powell nano fluid flow along a stretching sheet was addressed by Malik et al 28 Goswami et al 29 presented the flow of Eyring-Powell fluid in the presence of electroosmosis with interfacial slip effect. Hayat et al 30 discussed the both numerical and series solution of the Eyring-Powell fluid flow in the presence of internal heat generation/ absorption and Newtonian heating effects.…”

Streaming potential of superhydrophobic microchannels

“…Although there is a growing evidence that the air–water interface contains an excess of either adsorbed hydroxide ions or hydronium ions , we assume that the zeta potential of the liquid‐air interface is zero. Elaborate mathematical analysis of two immiscible layers of electroosmotic and pressure driven flows are available . Chokraborty developed a generalized mesoscale model for combined electrostatic and pressure driven flows of two immiscible layers.…”

Slip‐driven electroosmotic transport through porous media

“…In order to solve Eq., we employ the Navier slip boundary condition at the walls and Neumann boundary condition at the center of the cylindrical pore. Below, we describe the boundary conditions as: For cylindrical geometry: For annular geometry: where l s is the slip length, typically varies from zero to a few nanometers , provided at the surface of the pore structure and μ is the dynamic viscosity of the fluid.…”

“…While modeling electrically actuated transport, interfacial slipping dynamics cannot be trivially precluded owing to a higher shearing rate pertinent to this class of flow actuation mechanism . The dominating effect of a very high shear rates close to the walls of the channel in an electrically actuated transport may shear off the liquid molecules away from the bounding solid substrates essentially by overcoming the intermolecular force of attraction.…”