Instability analysis of a streaming electrified cylindrical sheet through porous media

Moatimid, Galal M.; El‐Dib, Yusry O.; Zekry, Marwa H.

doi:10.1007/s12043-018-1677-z

Cited by 9 publications

(4 citation statements)

References 17 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%

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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%

“…A Ginzburg-Landau equation was derived to control the nonlinear behavior of the surface deflection. Moatimid et al [53] investigated the effect of a uniform electric field on a cylindrical streaming sheet through a porous medium in the presence of uniform, homogeneous, and isotropic media using viscous potential theory.…”

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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“…Furthermore, the numerical calculations indicate that the coefficients of mass and heat transfers as well as the streaming play a destabilizing role, in contrast to the having a stabilizing influence. Recently, Moatimid et al introduced a few representatives of porous media in the problem of a streaming cylindrical sheet. Their analysis resulted in a damped differential equation with complex coefficients.…”

Section: Introductionmentioning

confidence: 99%

“…A set of diagrams is given to illustrate the influence of the several parameters in the instability picture. Recently, Moatimid et al studied the influence of a uniform axial electric field on a cylindrical streaming sheet. To avoid the mathematical manipulation; their analysis was based on the viscous potential theory.…”

Section: Introductionmentioning

confidence: 99%

The effect of a periodic tangential magnetic field on the stability of a horizontal magnetic fluid sheet

Moatimid

Eldabe

Sayed

2019

Heat Trans. Asian Res.

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The current article aims at investigating the effect of a periodic tangential magnetic field on the stability of a horizontal flat sheet. The media were considered porous, the three viscous-fluid layers were initially streaming with uniform velocities, and the magnetic field admitted the presence of free-surface currents. Furthermore, the transfer of mass and heat phenomenon was taken into account. The analysis, in this paper, was followed by the viscous potential theory. Moreover, the stability of the boundary-value problem resulted in coupled secondorder linear differential equations with damping and complex coefficients. In regard to the uniform and periodic magnetic field, the standard normal mode approach was applied to deduce a general dispersion relation and judge the stability criteria. In addition, several unfamiliar cases were reported, according to appropriate data choices. The stability conditions were theoretically analyzed, and the influences of the various parameters in the stability profile were identified through a set of diagrams. In accordance wth the oscillating field, the coupled dispersion equations were combined to give the established Mathieu equation. Therefore, the governed transition curves were, theoretically, obtained. Finally, the results were numerically confirmed. K E Y W O R D S magnetic field, mass and heat transfer, porous media, stability analysis, viscous potential flow

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

Moatimid

Zekry

2020

Microsyst Technol

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Instability analysis of a streaming electrified cylindrical sheet through porous media

Cited by 9 publications

References 17 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

The effect of a periodic tangential magnetic field on the stability of a horizontal magnetic fluid sheet

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

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