The Influence of Boundary Roughness on Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Fluids

Chavaraddi, Krishna B.; Gouder, Priya M.; Kudenatti, Ramesh B.

doi:10.37934/arfmts.75.2.110

Cited by 5 publications

(3 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The perturbation in the surface of separation (z s ) is defined in terms of the normal component of the velocity w s at z s (see (21)).…”

Section: Methodology Adoptedmentioning

confidence: 99%

“…The instability of two Oldroydian viscoelastic rotating superposed fluids with a uniform vertical angular velocity through a porous medium was analyzed by Mathur and Kumar [20]. The influence of the boundary roughness on RTI at the interface of the superposed coupled stress fluid was demonstrated by Chavaradi and Gouder [21] and the boundary roughness and couple-stress parameter are found to stabilize the system. Therefore, this paper aims to investigate the impact of suspended dust particles on the Rayleigh-Taylor instability superposed Jeffrey fluids flowing through a porous medium to see how the criterion of instability/stability changes with variations in the distinct parameters involved.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Rayleigh-Taylor Instability of Superposed Dusty Jeffrey Fluids through Porous Medium with Interfacial Surface Tension

et al. 2023

View full text Add to dashboard Cite

The linear Rayleigh-Taylor instability of two immiscible superposed non-Newtonian fluids saturated by a porous medium in the simultaneous presence of interfacial surface tension and suspended dust particles is investigated. The non-Newtonian behavior of fluids is described by the Jeffrey model. The set of coupled partial differential equations satisfying the appropriate boundary conditions is solved by applying the linear theory and normal mode technique. The exact solutions are found for both regimes with constant density, and the dispersion relation (between the growth rate and the wave number) is obtained. The physical system is found to be stable for a bottom-heavy configuration density-wise, such as in the Newtonian viscous fluid using the Routh-Hurwitz criterion. However, for the unstable configuration, the surface tension, medium porosity, dynamic viscosity, and density of dust particles have a stabilizing impact on the growth rate of the unstable Rayleigh-Taylor mode; whereas the density difference between the fluids and the Jeffrey parameter has a destabilizing effect on the growth rate of the unstable Rayleigh-Taylor mode.

show abstract

“…The perturbation in the surface of separation (z s ) is defined in terms of the normal component of the velocity w s at z s (see (21)).…”

Section: Methodology Adoptedmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Rayleigh-Taylor Instability of Superposed Dusty Jeffrey Fluids through Porous Medium with Interfacial Surface Tension

et al. 2023

View full text Add to dashboard Cite

show abstract

“…The study of the lubricating mechanics of synovial joints, a topic of current scientific inquiry, makes use of such fluids. Since the long chain hyaluronic acid molecules in synovial fluid are discovered as additive, this theory states that fluids with very large molecules exhibit noticeable magnitudes of Couple-stress [16][17][18][19][20][21][22]. In recent years, there has been a lot of interest in figuring out how non-Newtonian fluids flowing through porous media are affected by Couple-stress effects.…”

Section: Introductionmentioning

confidence: 99%

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

El-Sayed

Alanzi

2022

Fluids

View full text Add to dashboard Cite

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.

show abstract

Influence of Electric and Magnetic Fields on Rayleigh–Taylor Instability in a Power-Law Fluid

Chavaraddi¹,

Chandaragi

Gouder

et al. 2021

Advances in Intelligent Systems and Computing

View full text Add to dashboard Cite

The Influence of Boundary Roughness on Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Fluids

Cited by 5 publications

References 23 publications

Rayleigh-Taylor Instability of Superposed Dusty Jeffrey Fluids through Porous Medium with Interfacial Surface Tension

Rayleigh-Taylor Instability of Superposed Dusty Jeffrey Fluids through Porous Medium with Interfacial Surface Tension

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

Influence of Electric and Magnetic Fields on Rayleigh–Taylor Instability in a Power-Law Fluid

Contact Info

Product

Resources

About