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Internal nonlinear resonance on a charged jet

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Abstract

Nonlinear analytical asymptotic calculations of the second order of smallness show that the motion of a charged jet in a material medium generates periodic wave motions of the jet-medium interface (Kelvin-Helmholtz instabilities), which grow in time. In addition, the motion of the jet gives rise to nonlinear internal resonance interaction of waves. The parameters of this interaction (intensity and characteristic time) depend on the physical parameters of the system: electric charge density of the jet, its velocity in the medium, mass density, wavenumbers of interacting waves, and the interfacial tension coefficient.

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References

  1. V. M. Entov and A. L. Yarin, Itogi Nauki Tekh., Ser.: Mekh. Zhidk. Gaza 18, 112 (1984).

    Google Scholar 

  2. J. Eggers and E. Willermaux, Rep. Prog. Phys. 71(036601), 1 (2008).

    Google Scholar 

  3. O. V. Kim and P. F. Dunn, Langmuir 26, 15807 (2010).

    Article  Google Scholar 

  4. S. O. Shiryaeva, A. I. Grigor’ev, and M. V. Volkova, Spontaneous Capillary Disintegration of Charged Jets (Yaroslavsk. Gos. Univ., Yaroslavl’, 2007).

    Google Scholar 

  5. S. O. Shiryaeva, Tech. Phys. 55, 457 (2010).

    Article  Google Scholar 

  6. A. I. Grigor’ev, Tech. Phys. 54, 482 (2009).

    Article  Google Scholar 

  7. A. I. Grigor’ev, S. O. Shiryaeva, and N. A. Petrushov, Tech. Phys. 56, 171 (2011).

    Article  Google Scholar 

  8. A. I. Grigor’ev, S. O. Shiryaeva, N. A. Petrushov, and M. V. Volkova, Elektrokhim. Obrab. Met., No. 4, 23 (2010).

    Google Scholar 

  9. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1971; Nauka, Moscow, 1979).

    Google Scholar 

  10. A. I. Grigor’ev, N. A. Petrushov, and S. O. Shiryaeva, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 81 (2012).

    Google Scholar 

  11. A. I. Grigor’ev, N. A. Petrushov, and S. O. Shiryaeva, Issledovano v Rossii, pp. 569–577. http://zhurnal.ape.relarn.ru/articles/2011/044.pdf

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Authors and Affiliations

  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    S. O. Shiryaeva, N. A. Petrushov & A. I. Grigor’ev

Authors
  1. S. O. Shiryaeva
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  2. N. A. Petrushov
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  3. A. I. Grigor’ev
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Correspondence to S. O. Shiryaeva.

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Original Russian Text © S.O. Shiryaeva, N.A. Petrushov, A.I. Grigor’ev, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 5, pp. 41–49.

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Shiryaeva, S.O., Petrushov, N.A. & Grigor’ev, A.I. Internal nonlinear resonance on a charged jet. Tech. Phys. 58, 664–672 (2013). https://doi.org/10.1134/S1063784213050228

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  • DOI: https://doi.org/10.1134/S1063784213050228

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