Nonlinear stability of electro-visco-elastic Walters’ B type in porous media

Moatimid, Galal M.; Zekry, Marwa H.

doi:10.1007/s00542-020-04752-6

Cited by 31 publications

(9 citation statements)

References 28 publications

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“…Hence, we can conclude that each of the fluid velocities U 1 , U 2 , (U 2 > U 1 ), the mass and heat transfer coefficient values α, and the permeability of the medium λ 1 , respectively, have destabilizing effects on the stability of the structure. These results are in agreement with the previous results obtained by Elhefnawy [30] and Moatimid [52,53]. In the second group of figures, we investigated the influence of various physical elements included in the analysis of growth rate instability.…”

Section: Numerical Results and Discussionsupporting

confidence: 90%

“…El-Sayed et al [50,51] studied the nonlinear KHI of two semi-infinite Walters B viscoelastic dielectric fluids streaming in porous media in three dimensions under varied (horizontal or vertical) electric fields with or without surface charges at their interface. Recently, Moatimid and Zekry [52] examined the nonlinear instability of two dielectric viscoelastic Walters B fluids streaming through a vertical cylinder under a uniform axial electric field, introducing multiple time scales in their analysis. A Ginzburg-Landau equation was derived to control the nonlinear behavior of the surface deflection.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Numerical Results and Discussionsupporting

confidence: 90%

Section: Introductionmentioning

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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“…This displays a stabilizing influence of this parameter of the selected input parameters. Similar results were earlier gained by Moatimid and Zekry [13].…”

supporting

confidence: 91%

“…The stability process of Equation ( 39) examined in detail in our preceding paper given by Moatimid et al [13]. Based on the previous findings in this reference, one obtains the following Ginzburg-Landau equation:…”

Section: Nonlinear Ginzburg-landau Equationmentioning

confidence: 84%

“…El-Sayed [12] examined EHD atomization instability and Rayleigh regimes for dielectric liquid jet emitting a parabolic velocity profile into a stationary dielectric gas through a porous medium. Moatimid and Zeky [13] examined the EHD nonlinear stability of a cylindrical interface between two visco-elastic fluids of Walters' B type. The flow was saturated in porous media.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear EHD Instability of Two-Superposed Walters’ B Fluids Moving through Porous Media

Moatimid

Sayed

2021

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The current work examines the application of the viscous potential flow to the Kelvin-Helmholtz instability (KHI) of a planar interface between two visco-elastic Walters’ B fluids. The fluids are fully saturated in porous media in the presence of heat and mass transfer across the interface. Additionally, the structure is pervaded via a uniform, normal electrical field in the absence of superficial charges. The nonlinear scheme basically depends on analyzing the linear principal equation of motion, and then applying the appropriate nonlinear boundary-conditions. The current organization creates a nonlinear characteristic equation describing the amplitude performance of the surface waves. The classical Routh–Hrutwitz theory is employed to judge the linear stability criteria. Once more, the implication of the multiple time scale with the aid of Taylor theory yields a Ginzburg–Landau equation, which controls the nonlinear stability criteria. Furthermore, the Poincaré–Lindstedt technique is implemented to achieve an analytic estimated bounded solution for the surface deflection. Many special cases draw upon appropriate data selections. Finally, all theoretical findings are numerically confirmed in such a way that ensures the effectiveness of various physical parameters.

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Impact of Vertical Magnetic Field on the Rivlin-Ericksen Fluid Interface: An Irrotational Flow Approach

Shukla,

Awasthi,

Dharamendra

2024

Lecture Notes in Networks and Systems

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Nonlinear stability of electro-visco-elastic Walters’ B type in porous media

Cited by 31 publications

References 28 publications

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

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

Nonlinear EHD Instability of Two-Superposed Walters’ B Fluids Moving through Porous Media

Impact of Vertical Magnetic Field on the Rivlin-Ericksen Fluid Interface: An Irrotational Flow Approach

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