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Review of turbulence modelling methods for single phase flows

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents the overview of the approaches to the problem of mathematical turbulence modelling, which were developed up to now. The achievements and limitations of classical turbulence models, starting from the Bousinesq's concept of eddy viscosity, through algebraic prescriptions of mixing length to the modelling of differential transport equations have been discussed here. The probable future trends in this subject, which embrace the refinements and practical applicability of existing models have been considered to. The special emphasize has been put on the promissing idea of LES method, which may be treated as a temporary substitute for direct numerical solution of N-S equations.
Rocznik
Tom
Strony
67--81
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
autor
  • Institute of Thermal Machinery, Technical University of Częstochowa, 42-200 Częstochowa, al. Armii Krajowej 21
autor
  • Institute of Thermal Machinery, Technical University of Częstochowa, 42-200 Częstochowa, al. Armii Krajowej 21
Bibliografia
  • [1] BOUSSINESQ J., Theorie del’ecoulement tourbillant, Mem. Pre. par. div. Sov. 1977, 23 (cyt. za [6]).
  • [2] ELSNER J.W., Turbulencja przepływów, PWN, Warszawa 1987.
  • [3] ELSNER J.W., Współczesne tendencje w badaniach turbulencji, ZN Pol. Śląskiej 1984, Energetyka z. 87.
  • [4] ELSNER J.W., DROBNIAK S., KLAJNY R.. An analysis of energy transport processes in the presence of organized motion, Proc. IV European Turbulence Conference, Delft 1992.
  • [5] FLETCHER C.A.J., Computational techniques for fluid dynamics, Springer, Berlin 1991.
  • [6] Ha MINH H., CHASSAING P., Turbulent shear flows I, Springer, Berlin 1979.
  • [7] HANJALIĆ K.: Two-dimensional asymmetric turbulent flow in ducts. Ph. D.Thesis, Univ. of London, London 1970.
  • [8] HARLOW F.H., NAKAYAMA P.I., Transport of turbulence energy decay rate, Los Alamos Sei. Lab., Univ. California, Rep. LA-3854. 1968.
  • [9] HOPF E., Über die Aufangswertauigabe für hydrodynamischen Grundleichungen, Math. Nachr. 1951.
  • [10] KARMAN T.H., Mechanische Ahnlichtkeit und Turbulenz, Proc. 3rd Int. Congress Appl. Mech., Stockholm 1930.
  • [11] KOLMOGOROV A.N., Equations of turbulent motion of an incompressible turbulent fluid, Izv. Akad. Nauk SSSR 1942, Ser. Phys. VI, No 1-2.
  • [12] KOLOVANDIN B.A., LUCHKO N.N., DM1TRENKO Y.M., The turbulent wake behind an axisymmetric body and its interaction with the external turbulence, Proc. IUTAM Symp., Structure of Complex Turbulent Shear Flow, Springer, Marseille 1983.
  • [13] LAUNDER B.E., SPALDING D.B., Mathematical models of turbulence, Academic Press, London 1972.
  • [14] LESIEUR M., Turbulence in fluids, Kluwer Ac. Publ.. 1990.
  • [15] MARSDEN J.E., McCRACKEN M., The Hopf bifurcation and its applications, Appl. Math. Sei. 1976, 19.
  • [16] MOVEL R. i in., Structure of the temperature field in the turbulent wake behind an asymmetrically heated plate, Phys. Fluids 1979, 22. 4, 623-630.
  • [17] PF.YRET R., TAYLOR T.D., Computational methods for fluid flow, Springer, Berlin 1983.
  • [18] PRANDTL L., Bericht über Untersuchungen zur ausgebildeten Turbulenz, ZAMM 1925, 5,136.
  • [19] PRANDTL L., Z. Angew. Math und Mech; 1942, 22.
  • [20] PRANDTL L., Über ein neues Formalsystem für die ausgebildete Turbulenz, Nachr. vo. der Akad. der Wissenschaft, Göttingen 1945.
  • [21] REYNOLDS W., HUSSAIN A., The mechanics of an organized wave in turbulent shear flow. Part 3, J.F.M. 1972, 54.
  • [22] RODI W.. SPALDING D.B., A two parameter model of turbulence and its applications to free jets. Wärme und Stoffubertrangung 1970, 3.
  • [23] ROTTA J., Recent attempts to develop a generally applicable calculation method for turbulent shear flow layers, Proc. AGARD Conf. on Turbulent Shear Flows, London 1971.
  • [24] RUELLE D., TAKENS F„ On the nature of turbulence, Comm. Math. Phys. 1971, 20.
  • [25] SPALDING D.B., The prediction of two-dimensional steady turbulent flows, Imp. College Rep. EFITN/A/16, 1969.
  • [26] STYCZEK A., Stochastyczna symulacja ruchu cieczy lepkiej, Wykład na pos. Komitetu Mechaniki, Warszawa 1993.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0076-0004
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