Method of the "autonomous" modeling of turbulent flows under intermittency conditions. Part 1 - Problem formulation
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Keywords:
flows, The statistical theory of turbulent, DNS and LES methodsAbstract
The statistical theory of turbulent flows under intermittency conditions is revised, and a new method is developed for statistical description of such flows. It is shown that the model as constructed here is more accurate than those previously proposed for intermittent flows. Some results are presented of conditioned and unconditioned averaged characteristics of several turbulent shear flows as predicted by the model. These predictions are applied via comparison with experimental dateReferences
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Kuznetsov V.R., Sabelnikov V.A. Turbulence and Combustion. London: Hemisphere Publ. Corp. 1990. -362 p.
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Pope S. B. Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000. -771 p.
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Lumley J., Launder B., Bradshaw P. Collaborative Testing of Turbulent Models // Trans. ASME, J. Fluid Eng. 1996.
Townsend A.A. The structure of turbulent shear flow. Cambridge: Univ. Press, 1956. 315 p.
Turbulent reacting flows / Ed. P.A. Libby, F.A.Williams, Berlin: Springer-Verlag, 1980. 243 p.
Monin A.S., Yaglom A.M. Statistical Fluid Mechanics // Cambridge, MA: MIT Press. 1975. Vol. 2.
Kuznetsov V.R., Sabelnikov V.A. Turbulence and Combustion. London: Hemisphere Publ. Corp. 1990. -362 p.
Nuzhnov Yu.V., Ustimenko B.P.Diffusion combustion of turbulent flows. Almaty. Nauka, 1993 - 300 p. Russ.
Pope S. B. Turbulent Flows, Cambridge University Press, Cambridge, UK, 2000. -771 p.
Libby P. On the prediction of intermittent turbulent flows // J.Fluid Mech. 1975. V.68.Pt2. P. 273-295/
Dopazo C. On conditioned averages for intermittent turbulent flows // J. Fluid Mech.
1977. V. 81.Pt 3.P. 433-438.
Saffman P.G. On the boundary condition at the surface of a porous medium // Stud.
Appl. Math. 1971. V.50. N2.P.93-101.
Monin A.S., Yaglom A.M. Statistic Hydromechanics. - M.: Nauka. 1965. Part 1. - 639 p.
Nuzhnov Yu.V. Conditional Averaging of the Navier-Stokes Equations and a New Approach to Modeling Intermittent Turbulent Flows // J. Fluid Dynamics Vol.32, N.4,1977, pp. 489-494, Plenum Publishing Corporation. (ISSN 0015-4628. January, 1998,
c/b NEW YORK).
Landau L.D., Lifshitsz E.M. Statistic physics. - M.: Nauka, 1964. 567 p.
Hinze J.O., Van der Hegge Zijnen. Appl. Sci. Research, 1A, 435, 1949.
Brown, G. and Roshko, A. On density effects and large structure in turbulent mixing
layers // J. Fluid Mech., 1974, 64, 775-816.
Corrsin S., Natl. Advisory Comm. Aeronaut. Wartime Repts., N ACR 3L23, 1943.
Турбулентное смешение газовых струй / Под ред. Г.Н. Абрамовича. М.: Наука, 1974. -272 с.
Сабельников В.А. Полуэмпирическая модель для расчета коэффициента перемежаемости, условно осредненных скоростей и вторых моментов в турбулентных потоках // Уч. зап. ЦАГИ. 1985. Т. 16. N5. С. 48-59.
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Nuzhnov, Y. V. (2009). Method of the "autonomous" modeling of turbulent flows under intermittency conditions. Part 1 - Problem formulation. Journal of Mathematics, Mechanics and Computer Science, 60(1), 87–98. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/42
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