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Article

  • Title

    Mathematical simulation of laminar-turbulent transition and the turbulence scale estimation

  • Authors

    Volkov Viktor E.

  • Subject

    COMPUTER AND INFORMATION NETWORKS AND SYSTEMS. MANUFACTURING AUTOMATION

  • Year 2014
    Issue 2(44)
    UDC 004.942:[532.517.2/.4:536.46]
    DOI 10.15276/opu.2.44.2014.27
    Pages 155-159
  • Abstract

    The laminar-turbulent transition, analyzed in this work represents a particular interest for various branches of science and engineering. From the practical point of view, the turbulence scale represents one of the most important problems. This article goal of the article consisted in developing a deterministic mathematical model of laminar-turbulent transition effect. Elaborated is an original method for estimating the turbulence scale on the basis of the laminar flow stability problem solution and calculation of the wave length that corresponds to the fastest growth rate perturbation. This method efficiency is demonstrated by its application to investigate the flame waves and detonations structure and instability.

  • Keywords laminarity, turbulence, instability, mathematical model, deflagration, detonation
  • Viewed: 1085 Dowloaded: 1
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  • References

    Література
    1.    Davidson, P.A. Turbulence: An Introduction for Scientists and Engineers / P.A. Davidson. — Oxford, UK; New York: Oxford University Press, 2004. — 678 p.
    2.    Колмогоров, А.Н. Локальная структура турбулентности в несжимаемой жидкости при очень больших числах Рейнольдса / А.Н. Колмогоров // Доклады АН СССР. — 1941. — Т. 30, № 4. — С. 299—303.
    3.    A Voyage Through Turbulence / [ed. by P.A. Davidson, Y. Kaneda, K. Moffatt, K.R. Sreenivasan]. — Cambridge; New York: Cambridge University Press, 2011. — 450 p.
    4.    Pope, S.B. Turbulent Flows / S.B. Pope. — Cambridge; New York: Cambridge University Press, 2000. — 802 p.
    5.    Volkov, V.E. Deflagration-to-detonation transition and the detonation induction distance estimation / V.E. Volkov // Праці Одеського політехнічного університету. — 2014. — Вип. 1(43). — С. 120—126.
    6.    Kessler, D.A. Simulations of flame acceleration and deflagration-to-detonation transitions in methane–air systems / D.A. Kessler, V.N. Gamezo, E.S. Oran // Combustion and Flame. — 2010. — Vol. 157, Issue 11. — PP. 2063—2077.
    7.    Aslanov, S.K. Instability and Structure of Detonation in a Model Combustor / S.K. Aslanov, V.E. Volkov // Application of Detonation to Propulsion / [ed. by G.D. Roy, S.M. Frolov, J.E. Shepherd]. — Moscow: TORUS PRESS Ltd., 2004. — PP. 17—25.
    8.    Nettleton, M.A. Gaseous Detonations: Their nature, effects and control / M.A. Nettleton. — NY: Springer, 2013. — 256 p.

    References
    1.    Davidson, P.A. (2004). Turbulence: An Introduction for Scientists and Engineers. Oxford, UK; New York: Oxford University Press.
    2.    Kolmogorov, A.N. (1968). Local structure of turbulence in an incompressible viscous fluid at very high Reynolds numbers. Soviet Physics Uspekhi, 10 (6), 734—746.
    3.    Davidson, P.A., Kaneda, Y., Moffatt, K., & Sreenivasan, K.R. (Eds.). (2011). A Voyage Through Turbulence. Cambridge; New York: Cambridge University Press.
    4.    Pope, S.B. (2000). Turbulent Flows. Cambridge; New York: Cambridge University Press.
    5.    Volkov, V.E. (2014). Deflagration-to-detonation transition and the detonation induction distance estimation. Odes’kyi Politechnichnyi Universytet. Pratsi, 1, 120—126.
    6.    Kessler, D.A., Gamezo, V.N., & Oran, E.S. (2010). Simulations of flame acceleration and deflagration-to-detonation transitions in methane–air systems. Combustion and Flame, 157(11), 2063—2077.
    7.    Aslanov, S.K., & Volkov, V.E. (2004). Instability and structure of detonation in a model combustor. In G.D. Roy, S.M. Frolov, J.E. Shepherd (Eds.), Application of Detonation to Propulsion (pp. 17—25). Moscow: TORUS PRESS Ltd.
    8.    Nettleton, M.A. (2013). Gaseous Detonations: Their nature, effects and control. New York: Springer. (Original work published 1987)

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