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1 Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

1 2001

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Renormalised group methods for theoretical description of a turbulent fluid motion

Klopkov Y., Zharov V., Gusarova K.

Research Bulletin / Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics

2001

nr 11

129-134

A number of monographies and scientific papers are devoted to the problem of theoretical description of turbulent phenomena as this problem has appeared to be unfading for more than 150 years. From time to time there arise very bright new ideas and methods, which inspire many scientists to overcome unusual difficulties connected with understanding of the essence of the problem. Nevertheless the practical importance of an engineering solution to this problem has generated a great number of semiempirical models where the question about essence of the problem is not considered and the results are adjusted to a certain set of practically important flows. Thus the emphasis is put on the description of low order average such as average velocity, average pressure, average kinetic energy, average concentration of chemical components etc. Besides modeling has been developed due to impossibility of direct numerical simulation of flows at very high Reynolds numbers. Nevertheless significant progress in experimental and theoretical studies of non-isotropic turbulent flows has been recently made. It enables us to turn to the original problems connected with the essence of the phenomenon [1-4].