Application of the lie group theory to the analysis of flows in a turbulent boundary layer utilizing different turbulent viscosity models

• Autorzy: Avramenko A. A. , Kobzar S. G. , Kuznetsov A. V. , Bowen P. J.
• Języki publikacji: EN

Abstrakty

EN

The properties of symmetry of turbulent boundary layer flows are studied utilizing the Lie group theory. The self-similar forms of the independent variables and the solution functions for the boundary-layer type flows for four models of turbulent viscosity are obtained. The developed approach of finding a self-similar transformation for turbulent boundary-layer problems makes it possible to obtain numerical and simplified analytical solutions for a number of important flow situations.

Słowa kluczowe

EN

Lie groups; self-similar solutions; turbulent flows

PL

mechanika; przepływ; warstwa graniczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2003
• Tom: Vol. 8, no 4
• Strony: 543--557
• Opis fizyczny: Bibliogr. 11 poz., tab., wykr.

Twórcy

autor

Avramenko A. A.

• Institute of Engineering Thermophysics, National Academy of Sciences Kiev, UKRAINE

autor

Kobzar S. G.

• Institute of Engineering Thermophysics, National Academy of Sciences Kiev, UKRAINE

autor

Kuznetsov A. V.

• Department of Mechanical and Aerospace Engineering, North Carolina State University Campus Box 7910, Raleigh, NC 27695-7910, USA

autor

Bowen P. J.

• Mech. Eng. and Energy Studies Division Cardiff University Queen's Buildings PO BOX 685 Cardiff CF 3TA Wales, UNITED KINGDOM

Bibliografia

• [1] Avramenko A.A., Kobzar S.G., Shevchuk I.V., Kuznetsov A.V. and Iwanisoy L.T. (2001): Symmetry of turbulent boundary layer flows: Investigation of different eddy viscosity models. - Acta Mechanica, vol.l51, pp.1-14.
• [2] Abramowitz M. and Stegun I.A. (Eds.) (1964): Handbook of Mathematical Functionm. - Washington: U.S. Govt. Print. Off.
• [3] Cebeci T. and Bradshaw P. (1984): Physical and Computational Aspects of Convective Heat Transfer. - New York: Springer-Verlag.
• [4] Ibragimov N.H. and Unal G. (1994): Lie groups in turbulence. - Lie Groups and Their Applications, vol.l, pp.98-103.
• [5] Khor'kova N.G. and Verboyetsky A.M. (1995): On symmetry subalgebras and conservation laws for the k-e turbulence model and the Navier-Stokes equations. - Amer. Math. Soc. Transl, vol.l67, pp.61-90.
• [6] Nee P., and Kovasznay L.S.G. (1969): Structure of the turbulent boundary layer. - Phys. Fluids, vol.l2, pp.473-484.
• [7] Olver P.J. (1993): Applications of Lie Groups to Differential Equations. - New York: Springer-Verlag, 2nd edition.
• [8] Reynolds A.J. (1974): Turbulent Flows in Engineering. - New York: Wiley.
• [9] Schlichting H. (1979): Boundary Layer Theory. - New York: McGraw-Hill.
• [10] Umal G. (1994): Application of equivalence transformations to inertial subrange of turbulence. - Lie Groups and Their Applications, vol.l, pp.232-240.
• [11] Yakhot K. and Orszag S.A. (1986): Renormalization group analysis of turbulence. - J. Sci. Comp., vol.l, pp.3-51.