Kelvin-Helmholtz instability in viscoelastic fluids in presence of electro-magnetic fields

Joshi, Amey; Radhakrishna, M. C.; Rudraiah, N.

doi:10.1063/1.3637033

Cited by 10 publications

(7 citation statements)

References 26 publications

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“…The fields change the specific weight of the fluids. Our previous papers 3,20 had derived an expression for the effect. However, there was an error in one of the formulas.…”

Section: Fluid In Electric or Magnetic Fieldsmentioning

confidence: 99%

“…I shall also demonstrate that the mathematical structure of the electric field problem is similar to that of the magnetic field and that a single framework that analyzes both can be developed. Although this analysis was presented in one of our prior papers, 20 there was an error in it. I present the analysis again after correcting the error.…”

Section: Appendix B: Effect Of Electric and Magnetic Fields On Specifmentioning

confidence: 99%

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Elastic effects in superposed fluids

Joshi¹

2014

Physics of Fluids

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“…The fields change the specific weight of the fluids. Our previous papers 3,20 had derived an expression for the effect. However, there was an error in one of the formulas.…”

Section: Fluid In Electric or Magnetic Fieldsmentioning

confidence: 99%

Section: Appendix B: Effect Of Electric and Magnetic Fields On Specifmentioning

confidence: 99%

Elastic effects in superposed fluids

Joshi¹

2014

Physics of Fluids

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“…On the basis of two simple models related to exchange of energy occurring amongst the superposed fluids, Joshi et al, [16] investigated the root cause of KHI. In determination of minimal relative speed causing the instability is due to surface tension and density of fluids.…”

Section: Introductionmentioning

confidence: 99%

Influence of Boundary Roughness on Magnetohydrodynamic Kelvin-Helmholtz Instability in Couple-stress Fluid

Gouder

Chandaragi

Chavaraddi³

et al. 2021

ARFMTS

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The Kelvin-Helmholtz instability (KHI) occurs at the interface amongst two fluids, which are in relative motion with a common boundary. The growth rate of waves occurs whenever the relative velocity is greater as compared with the critical relative velocity. In the present paper, the influence of boundary roughness on KHI under the impact magnetic field in a couple-stress fluid layer bounded by a rigid surface at the lower side and upper side by a fluid saturated porous layer. Using suitable surface and boundary conditions, we have derived the dispersion relation and results are depicted graphically. As observed in presence of sharp interface, magnetic field exhibits stabilizing effect however, destabilizing effect is shown by the buoyancy force on KHI. Also, noted that the growth rate of interface reduces, as there is a rise in roughness parameter value.

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“…Rudraiah et al 8 have studied the study of surface instability of Kelvin-Helmholtz type in a fluid layer bounded above by a porous layer below by a rigid surface. Joshi et al 9 have studied Kelvin-Helmholtz instability in a viscoelastic fluid in the presence of electromagnetic fields.The fluid has been assumed to be Newtonian in all the above studies.With the growing importance of non-Newtonian fluids in modern technology, industry and chemical technology, the investigation of such fluids is desirable.…”

Section: Introductionmentioning

confidence: 99%

Kelvin-Helmholtz instability of superposed Rivlin-Ericksen fluids in hydromagnetics saturating porous medium

2019

JECET

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This paper deals with the effects of kinematic viscosities, kinematic viscoelasticities of lower and upper fluid, the medium porosity, the medium permeability, square of the Alfvń velocity and surface tension on the instability of superposed counterstreaming Rivlin-Ericksen fluids in hydromagnetics saturating a porous medium. Graphs are plotted by giving permissible numerical value to the non-dimensional parameters. The imaginary growth rate of the perturbations increases with the increase in kinematic viscosities of the lower and upper fluid implying thereby destabilizing effects of kinematic viscosities on the system. The imaginary growth rate of the perturbations decreases with the increase in kinematic viscoelasticities of the lower and upper fluid implying thereby stabilizing effects of kinematic viscoelasticities on the system. The imaginary growth rate of the perturbations increases slightly with the increase in medium porosity implying thereby little stabilizing effect of medium porosity on the system.The imaginary growth rate of the perturbations decreases with the increase in the square of Alfv́n velocity and medium permeability parameter, respectively.

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Kelvin-Helmholtz instability in viscoelastic fluids in presence of electro-magnetic fields

Cited by 10 publications

References 26 publications

Elastic effects in superposed fluids

Elastic effects in superposed fluids

Influence of Boundary Roughness on Magnetohydrodynamic Kelvin-Helmholtz Instability in Couple-stress Fluid

Kelvin-Helmholtz instability of superposed Rivlin-Ericksen fluids in hydromagnetics saturating porous medium

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