Microchannel flow control through a combined electromagnetohydrodynamic transport

Abstract

A mathematical model is developed to study the combined influences of electromagnetohydrodynamic forces in controlling the fluid flow through parallel plate rectangular microchannels. The electric double layer (EDL) effects are modelled by employing the classical Poisson–Boltzmann equation. The governing fluid flow equations are subsequently solved, in an effort to obtain closed form expressions depicting the variations in the overall flow rate as a function of various influencing system parameters. It is revealed that, with the aid of a relatively low-magnitude magnetic field, a substantial augmentation in the volumetric flow rates can be achieved. However, with magnetic fields of higher strengths, strongly opposing volumetric forces might offset any further possibilities of flow rate augmentation. Certain critical non-dimensional parameters are also identified, which can play significant roles in the overall flow augmentation mechanism.

Electroosmotically driven capillary transport of typical non-Newtonian biofluids in rectangular microchannels

“…Certain critical features of electrokinetics [33][34][35][36][37][38][39][40][41] and contact angle characteristics [42] are considered. Closed-form expressions are derived for the various driving and retarding forces, in accordance with a power-law constitutive model.…”

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

“…They simulated the electric double layer (EDL) effects using the classical Poisson-Boltzmann equation, and found that volumetric flow rates are significantly increased with comparatively weak magnetic field, whereas with stronger magnetic fields, significant volumetric forces can oppose and inhibit flow rate augmentation. Other studies include Dey et al [28] who examined heat transfer in electro-osmotic and pressure-driven flows in narrow confinements with thick electric double layers [28]. Mohammadi et al [29] reported very recently on hydrodynamic and direct-current insulator-based dielectrophoresis (H-DC-iDEP) microfluidic blood plasma separation.…”

Lattice Boltzmann simulation of thermofluidic transport phenomena in a DC magnetohydrodynamic (MHD) micropump

“…A limiting condition can eventually be reached at some threshold value of the magnetic field strength beyond which an increase in the magnitude of the magnetic field strength may even cause the net electromagnetic Lorentz force to become opposing in nature because of a stronger influence of the opposing force over the aiding one. In that case the flow can be completely reversed through the microdevice (Chakraborty and Paul 2006) (refer to Fig. 4).…”