Thermosolutal instability of Rivlin-Ericksen fluid under the effect of suspended particles and compressibility in porous medium

Aggarwal, Akanksha; Dixit, Dhruva

doi:10.1063/1.5008689

Cited by 3 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the instability sets in as stationary convection, the marginal state will be characterized by . Putting , the dispersion relation (26) where ̅ and denote respectively the critical Rayleigh numbers in the presence and absence of compressibility.…”

Section: The Stationary Convectionmentioning

confidence: 99%

“…Proof: For overstability, we wish to determine the critical Rayleigh number for the onset of instability via a state of pure oscillations, it is suffice to find conditions for which equation (26) will admit of solutions with real.…”

Section: Theoremmentioning

confidence: 99%

“…In another study, Kumar, et al [25] have considered the MHD instability of rotating superposed Rivlin-Ericksen viscoelastic fluids through a porous medium. Aggarwal and Dixit [26], have considered the thermosolutal instability of a layer of elastico-viscous fluid permeated with suspended particles in porous medium under the effect of compressibility. Keeping in mind the importance of flow through porous media in geophysics, soil sciences, ground-water hydrology, atmospheric physics, astrophysics, and various applications mentioned above, our interest, in the present paper, is to bring out rotation effect on thermosolutal convection in a compressible Rivlin-Ericksen elastico-viscous fluid through porous medium.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A New CT Construction System Suitable for Micro- and Macro-Focal Beam Guides Using a Multitarget System

Ulmer¹

2023

SJSR

View full text Add to dashboard Cite

The goal of this study is the improvement of CT constructions by exploiting the Bremsstrahlung created by multitarget systems allowing additional focusing influences by suitable magnetic fields and small-angle scatter of the walls (preferably tungsten). The number of layers of these configurations can be restricted to 10 – 15 layers, if electron voltages are of the order 120 keV – 180 keV, depending on the kind of application (medical CT or CT in the technical/research field). The theoretical results very satisfactorily agree with Monte-Carlo calculations using GEANT4.

show abstract

Section: The Stationary Convectionmentioning

confidence: 99%

Section: Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New CT Construction System Suitable for Micro- and Macro-Focal Beam Guides Using a Multitarget System

Ulmer¹

2023

SJSR

View full text Add to dashboard Cite

show abstract

“…In a different piece of research, Kumar et al (2005) investigated the MHD instability of rotating superposed Rivlin-Ericksen viscoelastic fluids that were traveling over porous surfaces. In the research that Aggarwal & Dixit (2017), they investigated the thermosolutal instability of a layer of elasticoviscous fluid in a porous media that included suspended particles. This instability was caused by the effect of compressibility.…”

Section: Introductionmentioning

confidence: 99%

Magneto Thermosolutal Convection in a Compressible Viscoelastic Fluid

Kumar

2022

JLMA

View full text Add to dashboard Cite

In the presence of a magnetic field, a thermosolutal convection is postulated to occur in a compressible Rivlin-Ericksen viscoelastic fluid in a porous media. The dispersion relation is found by using the linear stability theory and the normal mode analysis approach, respectively. In the scenario of stationary convection, it was discovered that compressibility, magnetic fields, and steady solute gradients all serve to delay the beginning of the convection process, but medium permeability serves to speed up the beginning of the convection process. In addition to this, it has been discovered that the system is reliable for [equation not detected by OJS] and under the condition [equation not detected by OJS]. The system goes into an unstable state. Overstability has also been looked at from the perspective of a scenario in which sufficient circumstances are met to rule out the possibility of the phenomenon occurring. It has been discovered that the steady gradient of the solute and the magnetic field both induce oscillatory modes into the system.

show abstract

“…The convection problem when the fluid layer is heated and soluted from below is studied by Veronis [2] and Nield [3]. The instability of non-Newtonian fluids has been studied by several authors [4][5][6][7][8][9][10][11][12][13][14][15] and [16,17,18,19,20,21]. There are so many problems in engineering, oceanography and limnology which can be studied by double diffusive convection.…”

Section: Introductionmentioning

confidence: 99%

Triple Diffusive Convection of a Non-Newtonian Fluid Under the Combined Effect of Compressibility and Variable Gravity

Aggarwal

Dixit²

2019

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

In this paper, triple diffusive convection in a Rivlin-Ericksen fluid layer, which is permeated with suspended particles in the porous medium under the effect of compressibility and variable gravity, is investigated. Linear stability theory and normal mode analysis have been used to study the problem under consideration. It is observed that, for stationary convection, suspended particles, compressibility and medium permeability have destabilizing/stabilizing effects under certain conditions. The variable gravity parameter destabilizes the system whereas stable solute gradients have a stabilizing effect.

show abstract

Thermosolutal instability of Rivlin-Ericksen fluid under the effect of suspended particles and compressibility in porous medium

Cited by 3 publications

References 13 publications

A New CT Construction System Suitable for Micro- and Macro-Focal Beam Guides Using a Multitarget System

A New CT Construction System Suitable for Micro- and Macro-Focal Beam Guides Using a Multitarget System

Magneto Thermosolutal Convection in a Compressible Viscoelastic Fluid

Triple Diffusive Convection of a Non-Newtonian Fluid Under the Combined Effect of Compressibility and Variable Gravity

Contact Info

Product

Resources

About