Combined Effect of Thermal Modulation and AC Electric Field on the Onset of Electrothermoconvection in Anisotropic Porous Layer

Swamy, Mahantesh

doi:10.7726/ajhmt.2017.1011

Cited by 4 publications

(3 citation statements)

References 31 publications

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“…They found that low frequency g-jitter has a stabilizing effect but enforcing an ac electric field diminishes the effect. Mahantesh (Swamy, 2017) studied the effect of temperature modulation in dielectric fluid with anisotropic medium. It was observed that asymmetric modulation has a stabilizing effect, whereas symmetric modulation gives an opposite effect.…”

Section: Stability Of the Fluid In Convection 1019mentioning

confidence: 99%

Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect

Myson

Nagouda

2020

MMMS

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PurposeThe effects of anisotropy and radiation cannot be considered negligible while investigating the stability of the fluid in convection. Hence, the purpose of this paper is to analyze how these effects could affect the system while considering a couple-stress dielectric fluid. Therefore, the study establishes the effect of thermal radiation in a couple-stress dielectric fluid with an anisotropic porous medium using Goody's approach (Goody, 1956).Design/methodology/approachTo analyze the effect of radiation on the onset of convection, the Milne–Eddington approximation is employed to convert radiative heat flux to thermal heat flux. The equations are further developed to approximate for transparent and opaque medium. Stability of the quiescent state within the framework of linear theory is performed. The principle of exchange of stabilities is shown to be valid by means of single-term Galerkin method. Large values of conduction–radiation and absorptivity parameters are avoided as fluid is considered as liquid rather than gas.FindingsThe radiative heat transfer effect on a couple-stress dielectric fluid saturated anisotropic porous medium is examined in terms of Milne–Eddington approximation. The effect of couple-stress, dielectric, anisotropy and radiation parameters are analyzed graphically for both transparent and opaque medium. It is observed that the conduction–radiation parameter stabilizes the system; in addition, the critical Darcy–Rayleigh number also shows a stabilizing effect in the absence of couple-stress, dielectric and anisotropy parameters, for both transparent and opaque medium. Furthermore, the absorptivity parameter stabilizes the system in the transparent medium, whereas it exhibits a dual effect in the case of an opaque medium. It was also found that an increase in thermal and mechanical anisotropy parameters shows an increase in the cell size, whereas the increase in Darcy–Roberts number and conduction–radiation parameter decreases the cell size. The validity of principle of exchange of stability is performed and concluded that marginal stability is the preferred mode than oscillatory.Originality/valueThe effects of anisotropy and radiation on Rayleigh–Bénard convection by considering a couple-stress dielectric fluid has been analyzed for the first time.

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Section: Stability Of the Fluid In Convection 1019mentioning

confidence: 99%

Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect

Myson

Nagouda

2020

MMMS

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“…Weakly nonlinear thermohaline rotating convection in a sparsely packed porous medium was studied by A. BenerjiBabu [38]. The combined effect of thermal modulation and an alternating current electric field on the beginning of electrothermoconvection in an anisotropic porous layer was studied by Mahantesh S. Swamy [41]. The combined effect of suspended particles and rotation on double-diffusive convection in a viscoelastic fluid saturated by a Darcy-Brinkman porous medium was studied by G. C. Rana [42].…”

Section: Introductionmentioning

confidence: 99%

Effect of basic Temperature Gradients on Electrothermal Convection in a Rotating Layer of Viscoelastic (Walter’s B) Fluid Saturated Porous Medium Heated from Below

Pavithra H M

2023

pst

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Combined Effect of Thermal Modulation and Rotation on the Onset of Convection in Walter's B Viscoelastic Fluid Saturated Porous Medium has been investigated. The problem is numerically solved using the Galerkin method after applying linear stability analysis and normal modes. It is possible to derive the dispersion relation while accounting for the effects of wave number, electric Rayleigh number, Darcy number, Taylor number, and thermal electric Rayleigh number. Graphically, the effects of the electric Rayleigh number, Darcy number, Wave number, and Taylor number on the onset of stationary convection have been studied. Under the boundary conditions considered, The kinematic viscoelasticity accounting for rheology of the nanofluid has no effect on the stationary convection for Walters’ (model B’) nanofluids and behaves like an ordinary Newtonian nanofluid.

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“…Saravanan and Purusothaman (2009) studied non-Darcian effects in anisotropic porous media. Many pertinent studies on anisotropy have been conducted (Malashetty and Swamy, 2007a;Malashetty and Swamy, 2007b;Malashetty et al, 2009;Sivakumar and Saravanan, 2009;Malashetty and Swamy, 2010;Agarwal et al, 2011;Malashetty et al, 2011;Srivastava et al, 2011;Chandra and Satyamurty, 2012;Swamy et al, 2013;Swamy et al, 2014;Swamy, 2017;Swamy et al, 2019;Capone et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Darcy–Benard–Oldroyd convection in anisotropic porous layer subject to internal heat generation

Swamy,

Hanumagowda,

Khan

et al. 2023

Front. Mater.

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An anisotropic horizontal porous layer saturated with viscoelastic liquids of the Oldroyd-B type is explored to determine how the internal heat source affects thermal convection. As a momentum equation, a modified Darcy–Oldroyd model is used that takes into account the anisotropy of the porous layer. The energy equation is formulated in such a way that the influence of internal heat sources and anisotropy in thermal diffusivity on the stability criterion may be easily identified. The effects of anisotropy, viscoelasticity, and internal heat generation on the onset of thermal convection are investigated using linear stability analysis. It is understood that convection begins via an oscillatory mode instead of a stationary mode because viscous relaxation, thermal diffusions, and internal heat generation mechanisms compete with one another. Both steady and unsteady finite-amplitude convections are studied using nonlinear stability analysis with the truncated Fourier series method. The effect of different governing parameters on the system’s stability and on convective heat transfer is studied. The present investigation has been significantly validated by the recovery of several prior results as special situations. The findings presented in this work are anticipated to have significant implications for a number of real-world applications, including modeling of oil reservoirs, crude oil extraction, crystal growth, the pharmaceutical and medical industries, and the use of geothermal energy, among others.

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Combined Effect of Thermal Modulation and AC Electric Field on the Onset of Electrothermoconvection in Anisotropic Porous Layer

Cited by 4 publications

References 31 publications

Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect

Convective instability analysis of couple-stress dielectric fluid saturated anisotropic porous medium with radiation effect

Effect of basic Temperature Gradients on Electrothermal Convection in a Rotating Layer of Viscoelastic (Walter’s B) Fluid Saturated Porous Medium Heated from Below

Darcy–Benard–Oldroyd convection in anisotropic porous layer subject to internal heat generation

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