Kelvin-Helmholtz instability in a strongly coupled dusty plasma medium

Tiwari, Sanat Kumar; Das, Amita; Angom, D.; Patel, Bhavesh; Kaw, P. K.

doi:10.1063/1.4737148

Cited by 31 publications

(25 citation statements)

References 22 publications

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“…Since the visco -elastic medium also exhibits fluid like behavior, the KH destabilization of a sheared flow should also prevail in this context. This has indeed been observed in our simulations carried out recently for the strongly coupled dusty plasma medium [8,4]. Keeping this in view, we have studied the evolution of shear flow structures in the context of the visco -elastic fluid in detail using the GHD model description for the medium.…”

Section: Introductionmentioning

confidence: 57%

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Evolution of sheared flow structure in visco-elastic fluids

Tiwari

Dharodi

Das

et al. 2014

AIP Conference Proceedings

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A visco -elastic fluid is represented frequently by the Generalized Hydrodynamic (GHD) model. Unlike Navier Stokes fluid such a system supports transverse shear waves. Thus, while a sheared flow structure in a Navier Stokes fluid system is marred by the development of the KelvinHelmholtz (KH) instability alone, in the case of visco -elastic GHD fluid, a shear flow pattern can be expected to be effected by both, namely the KH instability and the emission of transverse shear waves. The manuscript explores this feature in detail. For this purpose (a) the modifications on the KH instability mode due to strong correlations in linear as well as nonlinear regime and (b) the conditions under which either the KH mode and/or the transverse shear wave emission dominates have been identified in the manuscript.

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Section: Introductionmentioning

confidence: 57%

“…Hence, they are often categorized as visco-elastic fluids. Some well known examples of visco -elastic fluids are gels, toothpaste, foam, strongly coupled dusty plasmas etc [3,4].…”

Section: Introductionmentioning

confidence: 99%

Evolution of sheared flow structure in visco-elastic fluids

Tiwari

Dharodi

Das

et al. 2014

AIP Conference Proceedings

Self Cite

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“…To address the problem of KM flow in strongly coupled plasma, we consider a phenomenological viscoelastic generalised hydrodynamic model, [7][8][9] which has been used extensively in the past. We consider only the dynamics of dust fluid medium and the background plasma medium is considered to be given.…”

Section: Generalised Hydrodynamic Model and Governing Equationmentioning

confidence: 99%

“…Formation of coherent structures, such as dipole formation, 13 has also been investigated. In the same way, using generalised hydrodynamic model shear waves, 7 shear flow instability (Kelvin-Helmholtz), 8,9 nonlinear saturation, vortex roll formation, etc., have been investigated.…”

Section: Introductionmentioning

confidence: 98%

“…To understand the dynamics of strongly coupled dusty plasma, one or several of the following methods may be used, namely, experiments, 2-4 molecular dynamics simulation, 5 or generalised hydrodynamic (GH) model. [6][7][8][9] A variety of interesting phenomena, including dust plasma crystal, 1,10 grain charging, 1,3 interaction between charged particles, momentum exchange between different species, 4 dust acoustic wave (DAW), 11 phase transition, 12 have been investigated in dusty plasma.…”

Section: Introductionmentioning

confidence: 99%

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Kolmogorov flow in two dimensional strongly coupled dusty plasma

2014

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Undriven, incompressible Kolmogorov flow in two dimensional doubly periodic strongly coupled dusty plasma is modelled using generalised hydrodynamics, both in linear and nonlinear regime. A complete stability diagram is obtained for low Reynolds numbers R and for a range of viscoelastic relaxation time τm [0 < τm < 10]. For the system size considered, using a linear stability analysis, similar to Navier Stokes fluid (τm = 0), it is found that for Reynolds number beyond a critical R, say Rc, the Kolmogorov flow becomes unstable. Importantly, it is found that Rc is strongly reduced for increasing values of τm. A critical τmc is found above which Kolmogorov flow is unconditionally unstable and becomes independent of Reynolds number. For R < Rc, the neutral stability regime found in Navier Stokes fluid (τm = 0) is now found to be a damped regime in viscoelastic fluids, thus changing the fundamental nature of transition of Kolmogorov flow as function of Reynolds number R. A new parallelized nonlinear pseudo spectral code has been developed and is benchmarked against eigen values for Kolmogorov flow obtained from linear analysis. Nonlinear states obtained from the pseudo spectral code exhibit cyclicity and pattern formation in vorticity and viscoelastic oscillations in energy.

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Viscoelastic effects on asymmetric two‐dimensional vortex patterns in a strongly coupled dusty plasma

Gupta

Mukherjee

Ganesh

2019

Contributions to Plasma Physics

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Strongly coupled dusty plasma medium is often described as a viscoelastic fluid that retains its memory. In a flowing dusty plasma medium, vortices of different sizes appear when the flow does not remain laminar. The vortices also merge to transfer energy between different scales. In the present work, we study the effect of viscoelasticity and compressibility over a localized vortex structure and multiple rotational vortices in a strongly coupled viscoelastic dusty plasma medium. In case of single rotating vortex flow, a transverse wave is generated from the localized vortex source and the evolution time of generated waves is found to be reduced due to finite viscoelasticity and compressibility of the medium. It is found that the viscoelasticity suppresses the dispersion of vorticity. In the presence of multiple vortices, we find, the vortex mergers get highly affected in the presence of memory effect of the fluid, and thus the dynamics of the medium gets completely altered compared to a non‐viscoelastic fluid. For a compressible fluid, viscoelasticity dampens the energy in the sonic waves generated in the medium. Thus a highly viscoelastic and compressible fluid, in some cases, behaves similarly to an incompressible viscoelastic fluid. The wave‐front like rings propagate in elliptical orbits keeping the footprint of the earlier position of the point‐vortex. The rings collide with each other even within the patch vortex region forming regions of high vorticity at the point of intersection and pass through each other.

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Kelvin-Helmholtz instability in a strongly coupled dusty plasma medium

Cited by 31 publications

References 22 publications

Evolution of sheared flow structure in visco-elastic fluids

Evolution of sheared flow structure in visco-elastic fluids

Kolmogorov flow in two dimensional strongly coupled dusty plasma

Viscoelastic effects on asymmetric two‐dimensional vortex patterns in a strongly coupled dusty plasma

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