Onset of Darcy–Bénard convection under throughflow of a shear-thinning fluid

Petrolo, D.; Chiapponi, L.; Longo, Sandro; Celli, Michele; Barletta, Antonio; Federico, Vittorio Di

doi:10.1017/jfm.2020.84

Cited by 14 publications

(4 citation statements)

References 41 publications

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“…This is especially relevant in applications encompassing cloud physics, astrophysics, hydrological and geophysical investigations, seabed hydrodynamics, subterranean pollution studies and various industrial and technological processes. The investigation of convection in throughflow has attracted attention from multiple researchers, including Sutton [17], Petrolo et al [18] and Capone et al [19,20]. Notably, Capone et al [20] investigated the impact of throughflow on bi-disperse convection, with a particular focus on single-temperature bi-disperse porous media.…”

Section: Introductionmentioning

confidence: 99%

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Sharma,

Thakur

2024

J. Nig. Soc. Phys. Sci.

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In this investigation, we delve into the influence of throughflow on the phenomenon of bi-disperse convection within Rivlin-Ericksen fluid. In the context of examining bi-disperse convection within this specific type of fluid, the throughflow effect is considered to have a uniform vertical distribution. The primary focus of this study centers on evaluating the system’s linear stability. To achieve this, we employ normal mode analysis to compute the Darcy-Rayleigh number at the onset of convection. This Darcy-Rayleigh number is computed for both stationary and oscillatory convection modes. Furthermore, we conduct a comprehensive analysis and present the results in graphical form to illustrate the impact of various parameters, including Peclet number and kinematic viscoelastic parameter, on both stationary and oscillatory convection. Our research findings demonstrate that when Peclet number Pr1 < 0, it leads to destabilising effect on both stationary and oscillatory convections. Conversely, when Peclet number Pr1 > 0, it induces stabilising effect on both stationary as well as oscillatory convections.

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Section: Introductionmentioning

confidence: 99%

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Sharma,

Thakur

2024

J. Nig. Soc. Phys. Sci.

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“…The Darcy-Bénard instability for saturating fluids with a non-Newtonian rheology has been investigated with reference to viscoelastic fluids [4][5][6], to fluids with yield-stress [7] and to purely viscous fluids [8][9][10][11][12][13][14]. In particular, Barletta and Nield [8], Alves and Barletta [9], Celli et al [10] and Petrolo et al [11] discuss the onset of the Darcy-Bénard instability in a porous medium by considering the power-law model. A more sophisticated model, i.e.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary

Brandão

Celli

Barletta

2021

Fluids

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The onset of the thermal instability is investigated in a porous channel with plane parallel boundaries saturated by a non–Newtonian shear–thinning fluid and subject to a horizontal throughflow. The Ellis model is adopted to describe the fluid rheology. Both horizontal boundaries are assumed to be impermeable. A uniform heat flux is supplied through the lower boundary, while the upper boundary is kept at a uniform temperature. Such an asymmetric setup of the thermal boundary conditions is analysed via a numerical solution of the linear stability eigenvalue problem. The linear stability analysis is developed for three–dimensional normal modes of perturbation showing that the transverse modes are the most unstable. The destabilising effect of the non–Newtonian shear–thinning character of the fluid is also demonstrated as compared to the behaviour displayed, for the same flow configuration, by a Newtonian fluid.

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“…Other 16 surveys relative to this area of research are provided by Straughan [2], Barletta [3]. Except The Darcy-Bénard instability for saturating fluids with a non-Newtonian rheology 21 has been investigated with reference to viscoelastic fluids [4][5][6], to fluids with yield-stress 22 [7] and to purely viscous fluids [8][9][10][11][12][13][14].…”

Section: Introduction 12mentioning

confidence: 99%

Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary

Brandão¹,

Celli²,

Barletta³

2021

Preprint

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The onset of the thermal instability is investigated in a porous channel with plane parallel boundaries saturated by a non–Newtonian shear–thinning fluid and subject to a horizontal throughflow. The Ellis model is adopted to describe the fluid rheology. Both horizontal boundaries are assumed to be impermeable. A uniform heat flux is supplied through the lower boundary, while the upper boundary is kept at a uniform temperature. Such an asymmetric setup of the thermal boundary conditions is analysed via a numerical solution of the linear stability eigenvalue problem. The linear stability analysis is developed for three–dimensional normal modes of perturbation showing that the transverse modes are the most unstable. The destabilising effect of the non-Newtonian shear–thinning character of the fluid is also demonstrated as compared to the behaviour displayed, for the same flow configuration, by a Newtonian fluid.

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Onset of Darcy–Bénard convection under throughflow of a shear-thinning fluid

Cited by 14 publications

References 41 publications

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary

Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary

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