Nonlinear shear wave in a non Newtonian visco-elastic medium

Banerjee, Debabrata; Janaki, M. S.; Chakrabarti, Nikhil; Chaudhuri, M.

doi:10.1063/1.4725501

Cited by 2 publications

(3 citation statements)

References 22 publications

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“…In non-Newtonian system, viscous stress tensor drives another type of nonlinear effect through the dependence of viscosity on shear flow rate and it could lead to many interesting phenomena like recurrence 23 . In nonlinear regime, it would be interesting to study these nonlinear effects on KH instability.…”

Section: Discussionmentioning

confidence: 99%

“…As amplitude of small velocity fluctuation increases due to instability, system goes to nonlinear state and it would start to show vortex formation due to the convective nonlinearity of momentum equation. In non-Newtonian system, viscous stress tensor drives another type of nonlinear effect through the dependence of viscosity on shear flow rate and it could lead to many interesting phenomena like recurrence 23 . In nonlinear regime, it would be interesting to study these nonlinear effects on KH instability.…”

Section: Discussionmentioning

confidence: 99%

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Kelvin-Helmholtz instability in non-Newtonian complex plasma

Banerjee¹,

Garai²,

Janaki³

et al. 2013

Physics of Plasmas

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The Kelvin-Helmholtz (KH) instability is studied in a non-Newtonian dusty plasma with an experimentally verified model [Phys. Rev. Lett. 98, 145003 (2007)] of shear flow rate dependent viscosity. The shear flow profile used here is a parabolic type bounded flow. Both the shear thinning and shear thickening properties are investigated in compressible as well as incompressible limits using a linear stability analysis. Like the stabilizing effect of compressibility on the KH instability, the non-Newtonian effect in shear thickening regime could also suppress the instability but on the contrary, shear thinning property enhances it. A detailed study is reported on the role of non-Newtonian effect on KH instability with conventional dust fluid equations using standard eigenvalue analysis.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Kelvin-Helmholtz instability in non-Newtonian complex plasma

Banerjee¹,

Garai²,

Janaki³

et al. 2013

Physics of Plasmas

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“…The velocity relaxation in strongly coupled plasma has been studied by Bannasch et al; 12 they calculated the relaxation time experimentally and correlated it with simulation results. An analysis of nonlinear transverse shear wave has been carried out on non-Newtonian viscoelastic liquid by Banerjee et al 13 They also obtained numerical solution and explained them by constructing modified Korteweg de Vries equation. Thus, we find that various phenomena are discussed in two fluid (ion-electron) strongly coupled plasma.…”

Section: Introductionmentioning

confidence: 99%

Jeans self gravitational instability of strongly coupled quantum plasma

Sharma¹,

Chhajlani

2014

Physics of Plasmas

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The Jeans self-gravitational instability is studied for quantum plasma composed of weakly coupled degenerate electron fluid and non-degenerate strongly coupled ion fluid. The formulation for such system is done on the basis of two fluid theory. The dynamics of weakly coupled degenerate electron fluid is governed by inertialess momentum equation. The quantum forces associated with the quantum diffraction effects and the quantum statistical effects act on the degenerate electron fluid. The strong correlation effects of ion are embedded in generalized viscoelastic momentum equation including the viscoelasticity and shear viscosities of ion fluid. The general dispersion relation is obtained using the normal mode analysis technique for the two regimes of propagation, i.e., hydrodynamic and kinetic regimes. The Jeans condition of self-gravitational instability is also obtained for both regimes, in the hydrodynamic regime it is observed to be affected by the ion plasma oscillations and quantum parameter while in the kinetic regime in addition to ion plasma oscillations and quantum parameter, it is also affected by the ion velocity which is modified by the viscosity generated compressional effects. The Jeans critical wave number and corresponding critical mass are also obtained for strongly coupled quantum plasma for both regimes.

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Nonlinear shear wave in a non Newtonian visco-elastic medium

Cited by 2 publications

References 22 publications

Kelvin-Helmholtz instability in non-Newtonian complex plasma

Kelvin-Helmholtz instability in non-Newtonian complex plasma

Jeans self gravitational instability of strongly coupled quantum plasma

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