Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Awasthi, Mukesh Kumar; Agrawal, G.S.

doi:10.1504/ijtamm.2011.043535

Cited by 10 publications

(5 citation statements)

References 17 publications

(21 reference statements)

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“…Awasthi and Agrawal [21] have studied the viscous potential flow analysis of Kelvin-Helmholtz instability of a cylindrical interface and observed that the viscosity has a stabilizing effect. The viscous potential flow theory has been widely used in recent years, and attracts many researchers to study various linear and nonlinear stability problems of physical interest (Joseph and Liao [22], Joseph et al [23], Wang et al [24], Elcoot [25,26], Sirwah [27], Zakaria [28], Obied Allah [29], Awasthi and Agrawal [30], Awasthi et al [31], Moatimid and Hassan [32], and Asthana et al [33], among others).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electroviscoelastic potential flow instability theory of two superposed streaming dielectric fluids

et al. 2014

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The nonlinear electrohydrodynamic Kelvin-Helmholtz instability of two superposed viscoelastic Walters B= dielectric fluids in the presence of a tangential electric field is investigated in three dimensions using the potential flow analysis. The method of multiple scales is used to obtain a dispersion relation for the linear problem, and a nonlinear Ginzburg-Landau equation with complex coefficients for the nonlinear problem. The linear and nonlinear stability conditions are obtained and discussed both analytically and numerically. In the linear stability analysis, we found that the fluid velocities and kinematic viscosities have destabilizing effects, and the electric field, kinematic viscoelasticities, and surface tension have stabilizing effects; and that the system in the three-dimensional disturbances is more stable than in the corresponding case of twodimensional disturbances. While in the nonlinear analysis, for both two-and three-dimensional disturbances, we found that the fluid velocities, surface tension, and kinematic viscosities have destabilizing effects, and the electric field, kinematic viscoelasticities have stabilizing effects, and that the system in the three-dimensional disturbances is more unstable than its behavior in the two-dimensional disturbances for most physical parameters except the kinematic viscosities.Résumé : La méthode d'analyse du potentiel d'écoulement nous permet d'étudier l'instabilité électrodynamique non linéaire de type Kelvin-Helmholtz, de deux fluides diélectriques viscoélastiques de type Walter B= superposés, en présence d'un champ électrique tangentiel. Nous utilisons la méthode à échelles multiples pour obtenir la relation de dispersion du problème linéaire, alors que l'équation non linéaire de Ginzburg-Landau avec coefficients complexes pour le problème non linéaire. Nous obtenons et discutons les conditions de stabilité pour les cas linéaire et non linéaire, analytiquement et numériquement. Dans l'analyse de stabilité linéaire, nous trouvons que les vitesses de fluide et les viscosités cinématiques ont des effets déstabilisants, alors que le champ électrique, les viscoélasticités cinématiques et la tension superficielle sont stabilisants. Le système est plus stable contre les perturbations tridimensionnelles que contre les perturbations bidimensionnelles. Dans le cas non linéaire, pour des perturbations en deux et trois dimensions, nous trouvons que les vitesses de fluide, la tension superficielle et les viscosités cinématiques sont déstabilisants, alors que le champ électrique, les viscoélasticités cinématiques sont stabilisants. De plus, le système est plus instable dans son comportement sous perturbations en trois dimensions qu'en deux dimensions pour la plupart des paramètres physiques, sauf les viscosités cinématiques. [Traduit par la Rédaction]

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Section: Introductionmentioning

confidence: 99%

Nonlinear electroviscoelastic potential flow instability theory of two superposed streaming dielectric fluids

et al. 2014

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“…They observed that the axial electric field has a stabilizing effect, while the radial one has a dual rule (stabilizing and destabilizing) on the system's stability. Awasthi and Agrawal [17] presented an analysis of the capillary instability of electroviscous potential flow. Then, they revisited the analysis in their study of [18] as they analysed the capillary instability with radial electric field of viscous potential flow.…”

Section: Introductionmentioning

confidence: 99%

“…where P is the pressure and E t and E n are the tangential and normal components of the electric field, respectively. Integrating the linear equation of motion (1) results in Bernoulli's formula; eliminating the pressure using Bernoulli equation, condition (17) can be rewritten in linearized form as…”

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confidence: 99%

Electroviscoelstic Stability Analysis of Cylindrical Structures in Walters B Conducting Fluids Streaming through Porous Medium

Metwaly

Hafez

2022

Fluids

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In this research, the linear stability of a cylindrical interface between two viscoelstic Walters B conducting fluids moving through a porous medium is investigated theoretically and numerically. The fluids are influenced by a uniform axial electric field. The cylindrical structure preserves heat and mass transfer across the interface. The governing equations of motion and continuity are linearized, as are Maxwell’s equations in quasi-static approximation and the suitable boundary conditions at the interface. The method of normal modes has been used to obtain a quadratic characteristic equation in frequency with complex coefficients describing the interaction between viscoelstic Walters B conducting fluids and the electric field. In light of linear stability theory, the Routh–Hurwitz criteria are used to govern the structure’s stability. Several special cases are recoverd under suitable data choices. The stability analysis is conferred in detail via the behaviors of the applied electric field and the imaginary growth rate part with the wavenumbers. The effects of various parameters on the interfacial stability are theoretically presented and illustrated graphically through two sets of figures. Our results demonstrate that kinematic viscosities, kinematic viscoelasticities, and medium porosity improve stability, whereas medium permeability, heat and mass transfer coefficients, and fluid velocities decrease it. Finally, electrical conductivity has a critical influence on the structure’s stability.

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“…Recently, Awasthi and Agrawal [2011] have studied the viscous contribution to the pressure for the potential flow analysis of Kelvin-Helmholtz instability in the presence of tangential magnetic field and observed that the inclusion of irrotational shearing stresses stabilize the system. The viscous contribution to the pressure for the potential flow analysis of capillary instability in the presence of axial electric field has been studied by Awasthi and Agrawal [2011].…”

Section: Introductionmentioning

confidence: 99%

“…The viscous contribution to the pressure for the potential flow analysis of capillary instability in the presence of axial electric field has been studied by Awasthi and Agrawal [2011]. They have observed that the axial electric field and irrotational shearing stresses both have stabilizing effect on the stability of the system.…”

Section: Introductionmentioning

confidence: 99%

Study on Electrohydrodynamic Capillary Instability of Viscoelastic Fluids in Presence of Axial Electric Field

Tiwari

Awasthi

Agrawal

2012

Int. J. Appl. Mechanics

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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.

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Viscous contribution to the pressure for electroviscous potential flow analysis of capillary instability

Cited by 10 publications

References 17 publications

Nonlinear electroviscoelastic potential flow instability theory of two superposed streaming dielectric fluids

Nonlinear electroviscoelastic potential flow instability theory of two superposed streaming dielectric fluids

Electroviscoelstic Stability Analysis of Cylindrical Structures in Walters B Conducting Fluids Streaming through Porous Medium

Study on Electrohydrodynamic Capillary Instability of Viscoelastic Fluids in Presence of Axial Electric Field

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