The progressive wave approach analyzing the decay of a sawtooth profile in magnetogasdynamics

Sharma, V. D.; Singh, L. P.; Ram, Rishi

doi:10.1063/1.866222

Cited by 38 publications

(14 citation statements)

References 5 publications

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“…(3.1) without account for heating-cooling function has been firstly derived and analyzed in the context of propagation of a saw-tooth impulse in Ref. [16]. Eq.…”

Section: Nonlinear Effects Which Associate With the Intense Magnetoacmentioning

confidence: 99%

On the Nonlinear Effects of Magnetoacoustic Perturbations in Optically Thin Quasi-Isentropic Plasmas

Perelomova

Ratkowski

2018

Acta Phys. Pol. A

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Nonlinear effects of planar magnetosound perturbations in a plasma are discussed. Plasma is non-adiabatic due to optically thin radiation and external heating. For these reasons, thermal instability of a plasma may appear which makes it acoustically active. The plasma is assumed to be initially homogeneous ideal gas with infinite electrical conductivity permeated by a straight magnetic field which is orthogonal to the trajectories of gas particles. The instantaneous dynamic equations which describe nonlinear effects of intense sound in quasi-isentropic plasma, are derived. Nonlinear interaction of periodic and aperiodic magnetoacoustic perturbations with the non-wave modes, are discussed. The conclusions concern dissipative or active behavior of magnetoacoustic perturbations which is determined by the kind of the heating-cooling function.

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“…(3.1) without account for heating-cooling function has been firstly derived and analyzed in the context of propagation of a saw-tooth impulse in Ref. [16]. Eq.…”

Section: Nonlinear Effects Which Associate With the Intense Magnetoacmentioning

confidence: 99%

On the Nonlinear Effects of Magnetoacoustic Perturbations in Optically Thin Quasi-Isentropic Plasmas

Perelomova

Ratkowski

2018

Acta Phys. Pol. A

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“…On the other hand, v 1 should satisfy Eq. (20). Equation (24) may be integrated over time for approximately progressive with the speed c m,0 magnetoacoustic perturbation with the result:…”

Section: Low Frequenciesmentioning

confidence: 99%

“…The parameter of nonlinearity, which is responsible for distortions of magnetoacoustic wave, see also paper by Sharma et al (1987), equals…”

Section: Low Frequenciesmentioning

confidence: 99%

“…The nonlinear distortion of planar sound in which gas particles move perpendicularly to magnetic field are wellestablished in the case of perfectly conducting gas, involving waveforms with discontinuities (Singh et al, 2011;2012;Sharma et al, 1987;Geffen, 1963). A short review of the problems relating to wave propa-gation with consideration of nonlinear phenomena may be found in the study (Shyam et al, 1981).…”

Section: Introductionmentioning

confidence: 99%

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On the Nonlinear Distortions of Sound and its Coupling with Other Modes in a Gaseous Plasma with Finite Electric Conductivity in a Magnetic Field

Perelomova¹

2016

Archives of Acoustics

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Nonlinear phenomena of the planar and quasi-planar magnetoacoustic waves are considered. We focus on deriving of equations which govern nonlinear excitation of the non-wave motions by the intense sound in initially static gaseous plasma. The plasma is treated as an ideal gas with finite electrical conductivity permeated by a magnetic field orthogonal to the trajectories of gas particles. This introduces dispersion of a flow. Magnetoacoustic heating and streaming in the field of periodic and aperiodic magnetoacoustic perturbations are discussed, as well as generation of the magnetic perturbations by sound. Two cases, corresponding to magnetosound perturbations of low and high frequencies, are considered in detail.

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“…For nonlinear systems, we do not have the luxury of exact solutions. Nevertheless, there are evident successes on the way of establishing of complete exact solutions to the system of PDEs describing one-dimensional unsteady planar and cylindrically symmetric motions in magnetohydrodynamics (MHD), involving solutions with discontinuities [4][5][6]. Geffen has developed a consistent nonlinear first-order theory for the magnetogasdynamic two-dimensional and axisymmetric flow of an inviscid conductor around slender bodies [7].…”

Section: Introductionmentioning

confidence: 99%

On the Nonlinear Effects of Magnetoacoustic Perturbations in a Perfectly Conducting Viscous and Thermoconducting Gas

Perelomova

2016

Acta Phys. Pol. A

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Nonlinear effects of planar and quasi-planar magnetosound perturbations are discussed. The plasma is assumed to be a Newtonian thermoconducting gas with infinite electrical conductivity permeated by a magnetic field orthogonal to the trajectories of gas particles. Generation of the non-wave modes (magnetoacoustic heating and streaming) in the field of periodic and aperiodic magnetoacoustic perturbations is discussed. The results are compared with acoustic heating and streaming in an nonmagnetized Newtonian gas. In contrast with a Newtonian gas, the magnetoacoustic forces of heating and streaming are not proportional to the summary attenuation. The magnetoacoutic force of streaming is always smaller than the Newtonian one, but that of heating may take larger or smaller value in dependence on the magnetic strength.

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The progressive wave approach analyzing the decay of a sawtooth profile in magnetogasdynamics

Abstract: Graphoepitaxy of germanium on gratings with squarewave and sawtooth profiles Appl. Phys. Lett. 41, 526 (1982); 10.1063/1.93577Nonlinear distortion of ultrasonic waves in solids: approach of a stable backward sawtooth

Cited by 38 publications

References 5 publications

On the Nonlinear Effects of Magnetoacoustic Perturbations in Optically Thin Quasi-Isentropic Plasmas

On the Nonlinear Effects of Magnetoacoustic Perturbations in Optically Thin Quasi-Isentropic Plasmas

On the Nonlinear Distortions of Sound and its Coupling with Other Modes in a Gaseous Plasma with Finite Electric Conductivity in a Magnetic Field

On the Nonlinear Effects of Magnetoacoustic Perturbations in a Perfectly Conducting Viscous and Thermoconducting Gas

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