On the Onset of Electrohydrodynamic Instability in a Couple-Stress Nanofluid Saturating a Porous Medium

Rana, G. C.; Chand, Ramesh; Saxena, Hemlata; Gautam, Poonam Kumari

doi:10.1615/specialtopicsrevporousmedia.2020030166

Cited by 8 publications

(6 citation statements)

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“…[28,29]. The present work hopes to provide a foundation for further investigations of the instability and breakup of viscoelastic liquid sheets in the presence of electric fields [30,31].…”

Section: Introductionmentioning

confidence: 87%

Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium

El-Sayed

Alanzi

2022

Fluids

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Viscoelastic liquid sheet of couple-stress type streaming with relative motion into an inviscid gas through porous molium is studied theoretically and quantitatively in this project. To derive the differential equations that describe liquids, gases, and the electric field, we linearized the governing equations of motion and continuity, Maxwell’s equations in quasi-static approximation, and the appropriate boundary conditions at the two interfaces. Then we used the normal mode method. It was demonstrated analytically that the solutions to these differential equations can be found for both symmetric and antisymmetric disturbances, respectively. We could not obtain an explicit form of the growth rates since we could not solve the dispersion relations for both situations because they were obtained in highly complex forms. The Mathematica program is used to solve the dimensionless forms of the dispersion relations numerically using Gaster’s theorem. Various influences on the stability analysis of the considered system have been studied in detail, and it is determined that the system in the presence of a porous material is more unstable than it would be otherwise. In a two-dimensional system, the antisymmetric disturbance case is found to be more unstable than the corresponding symmetric disturbance situation. Some characteristics, such as Wabe number, Ohnesorge number, and electric field, have destabilizing effects, whereas others, such as porosity, medium permeability, viscoelasticity parameter, gas-to-liquid viscosity ratio, and dielachic constants, have stabilizing effects. Finally, it is discovered that the gas-to-liquid velocity ratio plays a dual role in the stability condition depending on whether the gas-to-liquid velocity ratio U ≶ 1. In the past, we have only found evidence of very few previous studies.

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“…[28,29]. The present work hopes to provide a foundation for further investigations of the instability and breakup of viscoelastic liquid sheets in the presence of electric fields [30,31].…”

Section: Introductionmentioning

confidence: 87%

Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium

El-Sayed

Alanzi

2022

Fluids

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“…In 2019, Rana et al 13 investigated the electrohydrodynamic thermal instability of an elastic‐viscous nanofluid saturating a porous in the presence of vertical AC electric field analytically and numerically. They have observed that couple‐stress parameter, medium porosity and Brinkman–Darcy number have stabilizing effects, whereas AC electric Raleigh number, Lewis number and modified diffusivity ratio and nanoparticle Rayleigh number have destabilizing effects on the system for stationary convection.…”

Section: Introductionmentioning

confidence: 99%

Onset of triple diffusive thermosolutal convection in a composite system

Sumithra¹,

Komala

2023

Heat Trans

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In a composite system possessing rigid‐rigid boundaries, the significance of thermal diffusion on the onset of triple diffusive convection is analyzed. The Darcy–Brinkman–Rayleigh–Benard model is employed to model the porous media. The regular perturbation methodology has been used to solve the governing equations of the composite system with the Boussinesq approximation. The critical thermal Rayleigh number, which determines the stability of the system, is estimated analytically. A graphical assessment of the impact of multiple physical attributes on the stability of the system is made. It is observed that the Soret parameters and solute Rayleigh numbers have a stabilizing effect, whereas the Darcy number exhibits a destabilizing effect upon the onset of triple diffusive convection in the composite system.

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“…Later, the authors re-examined this problem for more realistic boundary conditions and reported that the non-stationary convection can no longer occur with the change in boundary conditions [11]. Since then, many interesting studies have been conducted in the area of nanofluid convection [12][13][14][15][16][17][18][19][20][21][22][23][24]. Recently, Mahian et al [25] conducted a comprehensive review of the latest development in the modeling of nanofluid flows and heat transfer.In another part of the review [26], the authors discussed the important computational methods (such as the finite difference method, finite element method, finite volume method, etc.)…”

Section: Introductionmentioning

confidence: 99%

The onset of magnetic nanofluid convection because of selective absorption of radiation

Mahajan

Sharma²

2021

JMES

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This article reports a linear stability analysis of the onset of convection stimulated by selective absorption of radiation in a horizontal layer of magnetic nanofluid (MNF) under the impact of an external magnetic field. The Chebyshev pseudospectral method is utilized to obtain the numerical solution for water-based magnetic nanofluids (MNFs). The confining boundaries of the magnetic nanofluid layer are considered to be rigid–rigid, rigid–free, and free–free. The results are derived for two different conditions, viz., when the system is heated from the below and when the system is heated from the above. It is observed that an increase in the value of the Langevin parameter , diffusivity ratio and a decrease in the value of nanofluid Lewis number , the parameter which represents the impact of selective absorption of radiation and modified diffusivity ratio delays the onset of MNF convection for both the two configurations. Moreover, as the value of concentration Rayleigh number increases, the convection commences easily when the system is heated from the below, whereas the onset of MNF convection gets delayed as the system is heated from the above.

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On the Onset of Electrohydrodynamic Instability in a Couple-Stress Nanofluid Saturating a Porous Medium

Cited by 8 publications

References 0 publications

Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium

Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium

Onset of triple diffusive thermosolutal convection in a composite system

The onset of magnetic nanofluid convection because of selective absorption of radiation

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