Presence Of Axial Electric Field Research Articles

Study of Heat Characteristics of Electroosmotic Mediator and Peristaltic Mechanism via Porous Microtube

Heat characteristics of electroosmotic peristaltic flow are investigated in the porous microtube. Flow and heat equations are modeled using the Jeffrey fluid and viscous dissipation, respectively. The wall is patterned with a periodic array of sinusoidal peristaltic waves. In the presence of axial electric field, the chemical interaction of electrolyte (Jeffrey fluid) and the peristaltic walls (solid) cause an electric double layer at the interface. Based on low Reynolds assumption and Debye-Huckel linearization, the Poisson-Boltzmann equation formally solves the potential distribution, and the resulting non-linear problem is numerically solved via the NDSolve built-in scheme of the computing software Mathematica. Expression of interest like electric potential, velocity, pressure gradient, temperature, streamlines, and wall shear stress are executed numerically within the Jeffrey fluid flow pattern. A complete parametric study is executed to find out the outturn of material parameter λ1, permeability of porous medium K, electroosmotic parameter me, mobility of the medium β, and Brinkman number Br on the thermal features of the flow. This model is also suitable for a wide range of biological microfluidic applications. It is observed that the morphology of heat transfer in the flow is found to be subject to the joint consequence of the geometry of the tube and wall properties. The axial velocity increases monotonically for the Jeffrey fluid when equated to the viscous fluid. Moreover, velocity is noticed to upsurge with higher values of electroosmotic parameter and declines for porous medium and mobility of medium. The magnitude of bolus is larger for the case of Newtonian fluid as compared with non-Newtonian Jeffery fluid. Porosity decays the temperature throughout the microtube. The results presented may potentially be applied to clinical cases associated with the intrapleural membranes, gastrointestinal tract, and capillaries.

PRESSURE CORRECTIONS FOR THE VISCOELASTIC POTENTIAL FLOW ANALYSIS OF ELECTROHYDRODYNAMIC CAPILLARY INSTABILITY

Pressure corrections for the viscoelastic potential flow analysis of capillary instability in the presence of axial electric field has been carried out. In viscoelastic potential flow theory, viscosity enters through normal stress balance and the effects of shearing stresses are completely neglected. We include the viscous pressure in the normal stress balance along with irrotational pressure and it is assumed that this viscous pressure will resolve the discontinuity of the tangential stresses at the interface for two fluids. A dispersion relation is derived for the case of axially imposed electric field and stability is discussed in terms of various parameters such as electric field, Deborah number, Ohnesorge number, permittivity ratio and conductivity ratio etc. Stability criterion is given in terms of critical value of wave number as well as critical value of applied electric field. The system is unstable when electric field is less than the critical value of electric field, otherwise it is stable. It has been found that irrotational shearing stresses have stabilizing effect on the stability of the system.

STUDY ON ELECTROHYDRODYNAMIC CAPILLARY INSTABILITY OF VISCOELASTIC FLUIDS IN PRESENCE OF AXIAL ELECTRIC FIELD

Linear viscoelastic potential flow analysis of capillary instability in presence of axial electric field has been studied. A dispersion relation is derived for the case of axially imposed electric field and stability is discussed in terms of various parameters such as electric field, Deborah number, Ohnesorge number, permittivity ratio and conductivity ratio etc. Stability criterion is given in the terms of critical value of wave number as well as critical value of applied electric field. The system is unstable when electric field is less than the critical value of electric field, otherwise it is stable. It has been found that in presence of the electric field the growth rates for viscoelastic fluid are higher than viscous fluid. Various graphs have been plotted for growth rate and critical electric field.