The effect of rotation on the onset of electrohydrodynamic instability of an elastico-viscous dielectric fluid layer

Rana, G. C.; Chand, Ram; Sharma, Veena

doi:10.1515/bpasts-2016-0016

Cited by 5 publications

(4 citation statements)

References 24 publications

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“…The rotation parameter T D has stabilizing effect because rotation suppresses the upright movement and therefore convection, by confining the movement to the horizontal plane. The identical result for rotation was also obtained by and Rana et al (2016Rana et al ( , 2019.…”

Section: Numerical Results and Discussionsupporting

confidence: 81%

Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study

Yadav

2020

WJE

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Purpose The purpose of this study is to examine the influence of rotation and varying gravitational strength on the onset of thermal convection in a porous medium layer numerically. The porous layer is acted to uniform rotation and inconsistent downward gravitational field which changing with depth from the layer. The authors presented three categories of gravitational strength deviancy, namely, linear, parabolic and exponential. Design/methodology/approach The higher-terms Galerkin weighted residual procedure is applied to get the eigenvalue of the problem. Findings The results illustrate that both rotation parameter and gravity variation parameter suspend the arrival of convection. The measurement of the convection cells decreases on enhancing the rotation parameter and gravity variation parameter. Originality/value It is also found that the scheme is more stable for category exponential, whereas it is more unstable for category parabolic.

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Section: Numerical Results and Discussionsupporting

confidence: 81%

Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study

Yadav

2020

WJE

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“…To get an analytical result of Equations (19)–(21), the general Galerkin practice is used. Thus, we consider the following 35,50–60 :

V = E \sin π y, normalΘ = F \sin π y,

…”

Section: Perturbed Equationsmentioning

confidence: 99%

Influence of anisotropy on the Jeffrey fluid convection in a horizontal rotary porous layer

Yadav

2021

Heat Trans

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Stability analysis of thermal convection for a Jeffrey fluid with rotation in an anisotropic porous medium is examined utilizing a modified Jeffrey–Darcy model. The linear stability theory is applied to examine how the Jeffrey parameter, rotation parameter, and anisotropic parameters affect the convective motion. It is observed that the rotation and the anisotropic in the thermal diffusivity act to delay the start of Jeffery fluid convection, while the Jeffery parameter and the anisotropic in the permeability show a dual effect in the presence of rotation. The extent of the convection cell diminishes with rotation and Jeffery parameters, while it augments with the thermal anisotropy parameter. Also, some previous outcomes are regained as special cases of the current analysis.

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“…which satisfies the free-free boundary condition Equation (31). On substituting Equation (34) in Equations ( 27)-(30) we get system of equation in matrix form as…”

Section: Exact Analytical Solution For Free-free Boundarymentioning

confidence: 99%

The Coriolis Effect on Thermal Convection in a Rotating Sparsely Packed Porous Layer in Presence of Cross-Diffusion

et al. 2021

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The effect of rotation and cross-diffusion on convection in a horizontal sparsely packed porous layer in a thermally conducting fluid is studied using linear stability theory. The normal mode method is employed to formulate the eigenvalue problem for the given model. One-term Galerkin weighted residual method solves the eigenvalue problem for free-free boundaries. The eigenvalue problem is solved for rigid-free and rigid-rigid boundaries using the BVP4c routine in MATLAB R2020b. The critical values of the Rayleigh number and corresponding wave number for different prescribed values of other physical parameters are analyzed. It is observed that the Taylor number and Solutal Rayleigh number significantly influence the stability characteristics of the system. In contrast, the Soret parameter, Darcy number, Dufour parameter, and Lewis number destabilize the system. The critical values of wave number for different prescribed values of other physical parameters are also analyzed. It is found that critical wave number does not depend on the Soret parameter, Lewis number, Dufour parameter, and solutal Rayleigh number; hence critical wave number has no impact on the size of convection cells. Further critical wave number acts as an increasing function of Taylor number, so the size of convection cells decreases, and the size of convection cells increases because of Darcy number.

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The effect of rotation on the onset of electrohydrodynamic instability of an elastico-viscous dielectric fluid layer

Cited by 5 publications

References 24 publications

Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study

Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study

Influence of anisotropy on the Jeffrey fluid convection in a horizontal rotary porous layer

The Coriolis Effect on Thermal Convection in a Rotating Sparsely Packed Porous Layer in Presence of Cross-Diffusion

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