On the Nonlinear Distortions of Sound and its Coupling with Other Modes in a Gaseous Plasma with Finite Electric Conductivity in a Magnetic Field
DOI:
https://doi.org/10.1515/aoa-2016-0066Keywords:
magnetoacoustics, nonlinear wave phenomena, finite electrical conductivity, acoustic dispersion, acoustic heating and streaming.Abstract
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.References
N. Herlofson, Nature 165, 1020 (1950)
C.Truesdell, Phys. Rev. 78, 823 (1950)
N.S. Anderson, JASA, 23(3), 529 (1953
R.K. Anand, H.C. Yadav, Theor. Comp. Fluid Dyn. 28, 369 (2014)
W.G. Vincenti, B.S. Baldwin, J. Fluid Mech. 12 449 (1962)
E. A. Ponomarev, Soviet Astronomy 5, 673 (1961)
A. C. Fabian, C.S. Reynolds, G.B. Taylor and R. J. H. Dunn, Monthly Notices of the
Royal Astronomical Society 363(3), 891 (2005)
V.D. Sharma, L.P. Singh, R. Ram, Phys. Fluds 24(7), 1386 (1981)
V.D. Sharma, L.P. Singh, R. Ram, Phys. Fluds 30(5), 1572 (1987)
L.P. Singh, R. Singh, S.D. Ram, Astrophys. Space Sci 342, 371 (2012)
N. Geffen, Phys. Fluids 6(4), 566 (1963)
R. Shyam, V.D. Sharma, J. Sharma, AIAA Journal, 19, 1246 (1981)
S. Krishna Prasad, D. Banerjee, and T. Van Doorsselaere, Astrophys. J. 789, 118 (2014)
R.Z. Sagdeev, A.A. Galeev, Nonlinear Plasma Theory, Benjamin, New York 1969
V.I. Petviashvili, O.A. Pokhotelov, Solitary Waves in Plasmas and in the Atmosphere,
Gordon and Breach, Berlin 1992
P.K. Shukla, L. Stenflo, in: T.Passot and P.-L. Sulem (eds), Nonlinear MHD Waves and
Turbulence, Lecture Notes in Solar Phys., 536, Springer, Berlin, 1999
G. Brodin, L. Stenflo and P.K. Shukla, arXiv.physics/0604122v1 [physics.plasm-ph] 15 Apr
D.I. Zavershinsky, N.E. Molevich, Technical Physics Letters, 40(8), 701 (2014)
I. Ballai, Journal of Physics: Conference Series 44, 20 (2006)
A. Perelomova, Physics Letters A 357, 42 (2006)
V.P. Korobeinikov, Problems in the Theory Point Explosion in Gases, American Mathe-
matical Society, Providence 1976
O.V. Rudenko, S.I. Soluyan, Theoretical foundations of nonlinear acoustics, Plenum, New
York 1977
S. Makarov, M. Ochmann, Acta Acustica united with Acustica 82(4), 579 (1996)
A. Perelomova, P. Wojda, Acta Acustica united with Acustica 96(5), 807 (2010)
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