Unsteady electro-osmotic flow of couple stress fluid in a rotating microchannel: An analytical solution

Abstract

In this work, we present the theoretical investigation of the transient rotating electro-osmotic flow of a couple stress fluid in a microchannel, through the Laplace transform technique. The analysis is dependent on the Debye–Hückel linear approximation for electrical potentials. The governing equations of the couple stress fluid are taken to address the flow field in a rotating environment. The mathematical formulation of these governing equations provides a system of ordinary differential equations, which are then solved to achieve analytical solutions for electrostatic potential, axial and transverse velocity distribution, and volumetric flow rate. A comparison was made for the present analytical solution with data available in the literature. There was excellent matching. The characteristics of different influential parameters on axial and transverse velocity distributions, volume, and angle flow rates are pictorially deliberated. The study reveals that the rise in the couple stress parameter accelerates the axial electro-osmotic flow velocity inside the electrical double layer.

A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects

“…The symbols λ 1 and µ n f are the coefficients of viscosity. The stress tensor t ij and the deformation rate tensor d ij [54] are related by the following constitutive relation:…”

“…These model relations for the incompressible fluid flow, in the absence of body force and couple stress effects [54] reduce to the following relations:…”

“…By using V = (u, v, w) and then employing the Tiwari and Das model [6], the model equations in the final form are [54]:…”

Transient Two-Layer Electroosmotic Flow and Heat Transfer of Power-Law Nanofluids in a Microchannel

“…Recently, external environmental effects on EOF, such as a rotating frame or peristalsis, have been considered. In microchannel flow, a rotating environment induces Coriolis force, which causes a secondary flow; this is applied in biofluid transportation, drug delivery, and DNA analysis [ 15 ]. The theoretical analysis of rotating EOF was first studied by Chang and Wang [ 16 ], and has subsequently been extended in literature [ 17 , 18 ].…”

Scrutinization of thermodynamic second law for the steady flow of couple stress nanofluid in an inclined microchannel by varying thermal conductivity

“…In an erect channel, mixed convection of couple stress fluid flow was considered by Mallikarjun et al 13 Their aim was achieved after finding the impact of chemical reaction on the flow. Laplace transform technique is used by Siva et al 14 to study the electro‐osmotic flow in a microchannel. The investigation found that within the electrical double layer couple stress parameter maximizes the axial flow by electro osmosis.…”