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Clustering of charged particles in isotropic turbulence

  • Heat and Mass Transfer and Physical Gasdynamics
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High Temperature Aims and scope

Abstract

A statistical model is given of the formation of ordered structures (clusters) in a homogeneous isotropic turbulent field. The suggested model is based on the kinetic equation for the probability density function of relative velocity of a pair of particles. The solution of the problem is treated for a steady-state rarefied system of dispersed particles in view of pair interaction.

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REFERENCES

  1. H. Ikezi (1986) Phys. Fluids. 29 IssueID6 1764 Occurrence Handle1986PhFl...29.1764I

    ADS  Google Scholar 

  2. V.E. Fortov A.P. Nefedov O.F. Petrov et al. (1996) Phys. Rev. E 54 2236 Occurrence Handle1996PhRvE..54.2236F

    ADS  Google Scholar 

  3. V.E. Fortov A.P. Nefedov O.F. Petrov et al. (1997) Zh. Eksp. Teor. Fiz. 111 IssueID2 467

    Google Scholar 

  4. A.P. Nefedov V.E. Fortov O.F. Petrov (1997) Usp. Fiz. Nauk 167 IssueID11 1215

    Google Scholar 

  5. V.N. Tsytovich (1997) Usp. Fiz. Nauk 167 IssueID1 57

    Google Scholar 

  6. V.E. Fortov O.S. Vaulina O.F. Petrov (2003) Phys. Rev. Lett. 90 IssueID24 1–245005-1

    Google Scholar 

  7. V.E. Fortov O.S. Vaulina O.F. Petrov et al. (2003) Zh. Eksp. Teor. Fiz. 96 IssueID4 704

    Google Scholar 

  8. K.D. Squires J.K. Eaton (1991) Phys. Fluids A 3 1169 Occurrence Handle1991PhFl....3.1169S

    ADS  Google Scholar 

  9. L.-P. Wang R.M. Maxey (1993) J. Fluid Mech. 256 27 Occurrence Handle1993JFM...256...27W

    ADS  Google Scholar 

  10. S. Sundaram L.R. Collins (1997) J. Fluid Mech. 335 75 Occurrence Handle0901.76089 Occurrence Handle1997JFM...335...75S

    MATH  ADS  Google Scholar 

  11. W.C. Reade L.R. Collins (2000) Phys. Fluids 12 2530 Occurrence Handle2000PhFl...12.2530R

    ADS  Google Scholar 

  12. L.-P. Wang A.S. Wexler Y. Zhou (2000) J. Fluid Mech. 415 117 Occurrence Handle0964.76086 Occurrence Handle2000JFM...415..117W Occurrence Handle1775924

    MATH  ADS  MathSciNet  Google Scholar 

  13. R.C. Hogan J.N. Cuzzi (2001) Phys. Fluids 13 2938 Occurrence Handle2001PhFl...13.2938H

    ADS  Google Scholar 

  14. Fevrier, P., Simonin, O., and Legendre, D., Particle Dispersion and Preferential Concentration Dependence on Turbulent Reynolds Number from Direct and Large-Eddy Simulations of Isotropic Homogeneous Turbulence, Proc. 4 th Int. Conf. on Multiphase Flow, New Orleans, 2001, p. 1.

  15. H. Sigurgeirsson A.M. Stuart (2002) Phys. Fluids 14 IssueID12 4352 Occurrence Handle2002PhFl...14.4352S Occurrence Handle1938235

    ADS  MathSciNet  Google Scholar 

  16. V.I. Klyatskin T. Elperin (2002) Zh. Eksp. Teor. Fiz. 122 IssueID2(8) 78

    Google Scholar 

  17. V.I. Klyatskin (2003) Usp. Fiz. Nauk 173 IssueID7 689 Occurrence Handle10.3367/UFNr.0173.200307a.0689

    Article  Google Scholar 

  18. V.M. Alipchenkov L.I. Zaichik (2003) Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza 3 78

    Google Scholar 

  19. L.I. Zaichik V.M. Alipchenkov (2003) Phys. Fluids 15 IssueID6 1776 Occurrence Handle2003PhFl...15.1776Z Occurrence Handle2007552

    ADS  MathSciNet  Google Scholar 

  20. L.I. Zaichik V.M. Alipchenkov (2004) Teplofiz. Vys. Temp. 42 IssueID3 426

    Google Scholar 

  21. L.I. Zaichik O. Simonin V.M. Alipchenkov (2003) Teplofiz. Vys. Temp. 41 IssueID5 734

    Google Scholar 

  22. L.I. Zaichik O. Simonin V.M. Alipchenkov (2003) Phys. Fluids 15 IssueID10 2995 Occurrence Handle2003PhFl...15.2995Z Occurrence Handle2007552

    ADS  MathSciNet  Google Scholar 

  23. I.Z. Fisher (1961) Statisticheskaya teoriya zhidkostei Izd. Fiziko-Matematicheskoi Literatury Moscow

    Google Scholar 

  24. J.O. Hirschfelder C.F. Curtiss R.B. Bird (1954) Molecular Theory of Gases and Liquids Wiley New York Occurrence Handle0057.23402

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of High Temperatures, Joint Institute of High Temperatures, Russian Academy of Sciences (IVTAN), 125412, Moscow, Russia

    V. M. Alipchenkov & L. I. Zaichik

  2. Institute of High Energy Densities, Joint Institute of High Temperatures, Russian Academy of Sciences (IVTAN), 125412, Moscow, Russia

    O. F. Petrov

Authors
  1. V. M. Alipchenkov
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  2. L. I. Zaichik
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  3. O. F. Petrov
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Additional information

Translated from Teplofizika Vysokikh Temperatur, Vol. 42, No. 6, 2004, pp. 908–916.

Original Russian Text Copyright © 2004 by V. M. Alipchenkov, L. I. Zaichik, and O. F. Petrov.

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Alipchenkov, V.M., Zaichik, L.I. & Petrov, O.F. Clustering of charged particles in isotropic turbulence. High Temp 42, 919–927 (2004). https://doi.org/10.1007/s10740-005-0037-0

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  • DOI: https://doi.org/10.1007/s10740-005-0037-0

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