Transverse magnetic field driven modification in unsteady peristaltic transport with electrical double layer effects

Abstract

The influence of transverse magnetic field on time-dependent peristaltic transport of electrically-conducting fluids through a microchannel under an applied external electric field with induced electric field effect is considered, based on lubrication theory approximations.The electrohydrodynamic (EHD) problem is also simplified under the Debye linearization.Closed-form solutions for the linearized dimensionless boundary value problem are derived.With increasing Hartmann number, the formation of bolus in the regime (associated with trapping) is inhibited up to a critical value of magnetic field. Flow rate, axial velocity and local wall shear stress are strongly decreased with greater Hartmann number whereas pressure difference is enhanced with higher Hartmann number at low time values but reduced with greater elapse in time. With greater electro-osmotic parameter (i.e. smaller Debye length), maximum time-averaged flow rate is enhanced, whereas the axial velocity is reduced. An increase in electrical field parameter (i.e. maximum electro-osmotic velocity) causes an increase in maximum time-averaged flow rate. The simulations find applications in electromagnetic peristaltic micro-pumps in medical engineering and also "smart" fluid pumping systems in nuclear and aerospace industries.

Analytical Solution for Heat Transfer in Electroosmotic Flow of a Carreau Fluid in a Wavy Microchannel

“…Consider two-dimensional peristaltic flow (̃,̃) of an unsteady incompressible Carreau fluid through a wavy micro-channel, shown in Figure 1. Mathematically, wall deformation in the microchannel is expressed as [23]:…”

Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model

“…This model however constitutes a relatively simple formulation for analyzing electro-peristaltic transport. In this direction, some more recent investigations [20][21][22][23][24][25] have been reported to analyze the electro-peristaltic transport with channel flow [20], capillary flow [21], power law fluids [22], couple stress fluid [23], magnetohydrodynamics [24], Viscoelastic fluids [25]. They have concluded that peristaltic transport/physiological flow may be controlled by adding and opposing the external electric field.…”

Bioconvective electromagnetic nanofluid transport from a wedge geometry: Simulation of smart electro‐conductive bio‐nanopolymer processing

“…It involves the motion of ionized particles/molecules as well as their interactions with electric fields and surrounding fluid. EHD applications encompass biological transport, desalination, ion drag pumps in spacecraft propulsion, fuel‐emulsion mixing optimization, and bio‐materials processing . The application of EHD to heat transfer and mass transport problems also has applications with certain energy system restrictions that require enhanced heat transfer and mass transport.…”