Effect of general applied electric field on conducting liquid jets instabilities in the presence of heat and mass transfer

El-Sayed, M. F.; Adnane, M.; Metwaly, T. M. N.

doi:10.1016/j.amc.2005.03.009

Cited by 13 publications

(12 citation statements)

References 46 publications

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“…Various stability curves have been drawn to show the effect of various physical parameters such as wave number, viscosity, electrical conductivities of fluids, heat and mass transfer coefficient, on the stability of the system. Finally, a comparison has been made between the results of present study with the results obtained by El-Sayed et al [4] for inviscid fluids.…”

Section: Introductionsupporting

confidence: 58%

“…In Eq. (30) putting μ 1 = 0 and μ 2 = 0 the dispersion relation as calculated by El-Sayed et al [4] is obtained.…”

Section: Dispersion Relationmentioning

confidence: 85%

“…Elhefnawy et al [3] studied the instability of finitely conducting fluids in cylindrical geometry under the influence of radial electric field with surface charges at the interface and it was found that dielectric constant plays a distinctive role in the analysis. El-Sayed et al [4] investigated the effect of general applied electric field on conducting inviscid liquid jets instability in the presence of heat and mass transfer taking surface charges into consideration. El-Sayed et al [5] extended this problem to periodic axial electric field and found that the electric field frequency has a dual role on stability criterion.…”

Section: Introductionmentioning

confidence: 99%

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Viscous potential flow analysis of electrohydrodynamic capillary instability with heat and mass transfer: Effect of free surface charge

Tiwari¹,

Awasthi

Agrawal

2015

JAE

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We study the electrohydrodynamic capillary instability of the interface between two uniform superposed viscous and electrically conducting fluids in the presence of a free surface charge, when there is heat and mass transfer across the interface. The fluids are subjected to the uniform electric field in the axial direction and the viscous potential flow theory is used for the investigation. A quadratic dispersion relation that accounts for the growth of disturbance waves is derived for the linear stability analysis and the stability of the system is analyzed theoretically and numerically. The stability criterion is given in terms of the critical value of applied electric field as well as critical wave number. Various graphs with respect to physical parameters such as electric field, heat transfer coefficients, conductivity and permittivity ratio are drawn and effect of various parameters is described. It is observed that free surface charge and electric field both have stabilizing effect on the stability of the system.

show abstract

Section: Introductionsupporting

confidence: 58%

“…In Eq. (30) putting μ 1 = 0 and μ 2 = 0 the dispersion relation as calculated by El-Sayed et al [4] is obtained.…”

Section: Dispersion Relationmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Viscous potential flow analysis of electrohydrodynamic capillary instability with heat and mass transfer: Effect of free surface charge

Tiwari¹,

Awasthi

Agrawal

2015

JAE

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“…The linear stability of the flow was analysed by deriving the exact dispersion relation in terms of the Airy functions and their integrals, and solving it numerically and asymptotically to find marginal stability curves. El-Sayed et al [18,19] studied theoretically the effect of time dependent radial and axial electric fields enhanced heat and mass transfer on the interfacial instability of two conducting fluids separated by a cylindrical interface, and confined between two coaxial circular cylinders.…”

Section: Introductionmentioning

confidence: 99%

Modulation instability of electrohydrodynamic waves on liquid jet

Elcoot

2006

International Journal of Non-Linear Mechanics

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“…In this case, the electrical force can be added to the first term on the right-hand side of Eq. (7), see [25][26][27][28][29]; while the usual viscous term in Navier-Stokes equation of motion, divided by the porosity m, can be added to the second term [30], as indicated in the next section. In Eq.…”

mentioning

confidence: 99%

Onset of electroconvective instability of Oldroydian viscoelastic liquid layer in Brinkman porous medium

El-Sayed

2007

Arch Appl Mech

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The problem of the onset of electrohydrodynamic instability in a horizontal layer of Oldroydian viscoelastic dielectric liquid through Brinkman porous medium under the simultaneous action of a certical ac electric field and a vertical temperature gradient is analyzed. Applying linear stability theory, we derive an equation of eight order. Under somewhat suitable boundary conditions, this equation can be solved exactly to yield the required eigenvalue relationship from which various critical values are determined in detail. Both the cases of stationary and oscillatory instabilities are discussed if the liquid layer is heated from below or above. The effects of the porosity of porous medium, the medium permeability, the Prandtl number, the ratio of retardation time to relaxation time, the elastic number, in the presence or absence of Rayleigh number are shown graphically for both cases. Some of the known results are derived as special cases. The electrical force has been shown to be the sole agency causing instability of the considered system since it is much more important than the buoyancy force even if the medium is porous.

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Effect of general applied electric field on conducting liquid jets instabilities in the presence of heat and mass transfer

Cited by 13 publications

References 46 publications

Viscous potential flow analysis of electrohydrodynamic capillary instability with heat and mass transfer: Effect of free surface charge

Viscous potential flow analysis of electrohydrodynamic capillary instability with heat and mass transfer: Effect of free surface charge

Modulation instability of electrohydrodynamic waves on liquid jet

Onset of electroconvective instability of Oldroydian viscoelastic liquid layer in Brinkman porous medium

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