Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions

Nanjundappa, C. E.; Shivakumara, I. S.

doi:10.1002/htj.22627

Cited by 2 publications

(2 citation statements)

References 42 publications

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“…Maekawa et al 20 studied theoretically the onset of EC on buoyancy and Marangoni convection in a dielectric fluid layer under the influence of AC and DC electric fields. Besides, many studies of ETC have appeared incorporating various other effects, for example, rotation, [21][22][23][24][25][26][27][28] viscoelasticity of the dielectric fluid, [29][30][31] volumetric heat source, [32][33][34] surface tension and variable internal heating, 35 elastico-viscous nanofluid, [36][37][38][39] and so on.…”

Section: Introductionmentioning

confidence: 99%

Volumetric heating and AC electric field effects on porous convection with general boundary conditions

Rachitha,

Nanjundappa,

Shivakumara

2024

Heat Trans

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The onset of convective instability in an internally heated dielectric fluid‐saturated porous layer under the influence of a uniform AC electric field for different types of boundary conditions is investigated. The flow in the porous medium is described by the Brinkman model with fluid viscosity different from effective viscosity. The lower adiabatic and the top with finite heat transfer coefficient to the external environment boundaries are considered to be either rigid or stress‐free. The presence of a uniform volumetric heat source alters the conduction profile of the temperature field from linear to quadratic in the vertical coordinate. A modal linear stability analysis of the basic motionless state is carried out and the general regime of linear instability is investigated by solving the stability eigenvalue problem numerically using the Galerkin method of weighted residual technique. The neutral stability condition as well as the critical value of the thermal Rayleigh number is computed for rigid–rigid, free–free, and rigid–free boundaries for various values of governing parameters. It is seen that the nature of boundaries affect the stability of the system only quantitatively, though not qualitatively. The rigid–rigid boundaries offer a more stabilizing effect against convection in comparison with rigid–free and free–free boundaries. The study found that the effect of increasing thermal electric Rayleigh number and the Darcy number is to hasten the onset of instability, while the opposite trend is perceived with an increase in the ratio of viscosities and Biot number. The outcomes of this investigation are found to be in good agreement with past studies under the limiting cases.

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Section: Introductionmentioning

confidence: 99%

Volumetric heating and AC electric field effects on porous convection with general boundary conditions

Rachitha,

Nanjundappa,

Shivakumara

2024

Heat Trans

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“…The impact of a perpendicular magnetic field on the flow of micropolar nanofluid over an impermeable stretching sheet in a porous medium and the combined convection heat transfer was investigated by Izadi et al, [25] in relation to the control of MFD viscosity. Savitha et al, [26] examined the impact of viscosity at MFD and energy-based volumetric internal heating in conjunction involving ferrofluid-saturated porous layers on convection Robin-type thermal and magnetic potential boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

Rajagopalan Suprabha,

Chikkabagilu Rudraiah Mahesha,

Chikkanalluru Erappa Nanjundappa

2024

ARFMTS

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The present work aims to examine the influence of magnetic field dependent (MFD) viscosity on the onset of ferroconvection (FC) in a horizontal porous layer saturated with a quiescent ferrofluid (FF) and subjected to a uniform vertical magnetic field. It is assumed that the porous boundaries at the bottom and top are rigid-paramagnetic. The thermal conditions consist of a constant heat flux at the lower surface and a convective boundary condition at the upper surface, encompassing fixed temperature and uniform heat flux cases. The application of the Galerkin technique to the resulting eigenvalue problem reveals that the stability region expands as the porous parameter, Biot number, MFD viscosity parameter and magnetic susceptibility increase in magnitude. Conversely, the stability region contracts as the magnetic number and non-linearity of magnetization increase. Furthermore, it is noted that under uniform heat flux boundary conditions, the criterion for the initiation of ferroconvection remains unaffected by the non-linearity of fluid magnetization.

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Exploration of energy‐based volumetric heating on ferrothermal porous convection: Effects of MFD viscosity and boundary conditions

Cited by 2 publications

References 42 publications

Volumetric heating and AC electric field effects on porous convection with general boundary conditions

Volumetric heating and AC electric field effects on porous convection with general boundary conditions

Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

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