Kelvin–Helmholtz instability in sheared dusty plasma flows including dust polarization and ion drag forces

Dolai, Bivash; Prajapati, R. P.

doi:10.1088/1402-4896/ac6d87

Cited by 7 publications

(3 citation statements)

References 73 publications

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“…This is quite similar to the observation carried out via numerical simulation of nonlinear Kelvin-Helmholtz instability in the high latitude ionosphere, resulting from velocity-sheared plasma flows perpendicular to an ambient magnetic field [58]. Subsonic parallel shear flows and velocity gradients in dusty plasma with ion streaming along with polarization forces relevant to the K-H instability in astrophysical outflows of molecular clouds and in the vicinity of Saturn's E ring are carried out by Dolai and Prajapati (and the references therein) [59].…”

Section: Analysis Of Solution (44)mentioning

confidence: 99%

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Ahmad,

Farooq

et al. 2023

Phys. Scr.

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A theoretical investigation is carried out for nonlinear electrostatic Kelvin-Helmholtz (K-H) shock waves in a magnetized electron-positron-ion viscous plasma in the presence of transport equations and non-Maxwellian particles by following the generalized (r, q) distribution function. The propagation of electrostatic K-H modes are studied both in the presence of trapped and free electrons. The nonlinear analysis with inclusion of plasma transport properties (magnetic viscosity and heat conduction) lead to nonlinear electrostatic K-H mode in the form of shock like waves by solving the modified Burgers’ equation. The electrostatic K-H shocks are investigated numerically with effect of different plasma parameters such as shear velocity and non-Maxwellian distributed particles. It is observed that the striking features (viz., amplitude and width of dissipative shock through the solution of Burgers’ equation) of the K-H mode are significantly modified by the effects of non-thermality of electrons and positrons both at shoulder and tails along with shear velocity due to viscosity. The relevancy of our work to the observations in space (viz., cometary comae and earth’s ionosphere), astrophysical (viz., pulsars) and laboratory (viz., solid-high intense laser plasma interaction experiments) plasmas is highlighted.

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Section: Analysis Of Solution (44)mentioning

confidence: 99%

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Ahmad,

Farooq

et al. 2023

Phys. Scr.

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“…The resulting equation has an ill solution. 24 In the present paper, we consider the damped and unforced Helmholtz-Duffing oscillator taking into account the complexity of the coefficients. We solve it using an extended version of He's frequency approach for the damped case.…”

Section: Introductionmentioning

confidence: 99%

Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics

El‐Dib

2022

Journal of Low Frequency Noise, Vibration and Active Control

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The current paper presents the first treatment to obtain the solution of a complex Helmholtz–Duffing oscillator. This model has described the elevation of the surface waves in fluid mechanics. The non-perturbative approach is used to convert the nonlinear oscillator to a linear oscillator to derive the solution of the complex nonlinear oscillator. This paper has opened the path for a new way to study more complex nonlinear elevation of surface waves.

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“…Numerous theoretical [37][38][39] and simulation studies [40][41][42][43][44][45][46] have been carried out to explore the KH instability in a dusty plasma. N. D' Angelo et al theoretically studied the KH instability in a magnetized dusty plasma for negatively and positively charged dust grains.…”

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confidence: 99%

Kelvin-Helmholtz instability in a compressible dust fluid flow

Kumar

Bandyopadhyay

Singh

et al. 2023

Sci Rep

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We report the first experimental observations of a single-mode Kelvin-Helmholtz instability in a flowing dusty plasma in which the flow is compressible in nature. The experiments are performed in an inverted $$\Pi$$ Π -shaped dusty plasma experimental device in a DC glow discharge Argon plasma environment. A gas pulse valve is installed in the experimental chamber to initiate directional motion to a particular dust layer. The shear generated at the interface of the moving and stationary layers leads to the excitation of the Kelvin-Helmholtz instability giving rise to a vortex structure at the interface. The growth rate of the instability is seen to decrease with an increase in the gas flow velocity in the valve and the concomitant increase in the compressibility of the dust flow. The shear velocity is further increased by making the stationary layer to flow in an opposite direction. The magnitude of the vorticity is seen to become stronger while the vortex becomes smaller with such an increase of the shear velocity. A molecular dynamics simulation provides good theoretical support to the experimental findings.

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Kelvin–Helmholtz instability in sheared dusty plasma flows including dust polarization and ion drag forces

Cited by 7 publications

References 73 publications

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Properties of complex damping Helmholtz–Duffing oscillator arising in fluid mechanics

Kelvin-Helmholtz instability in a compressible dust fluid flow

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