An overview of Millionschikov's quasi-normality hypothesis applied to turbulence

• Autorzy: Mamaloukas C. , Mazumdar H. P.

Identyfikatory

DOI

10.2478/ijame-2014-0009

• Języki publikacji: EN

Abstrakty

EN

In this paper, we examine the zero-fourth cumulant approximation that was applied to fluctuating velocity components of homogeneous and isotropic turbulence by M.D. Millionschikov. Since the publication of the remarkable paper of Millionschikov, many authors have applied this hypothesis to solve the closure problem of turbulence. We discuss here various studies by the other authors on the developments of this hypothesis and their applications to the incompressible velocity temperature, hydrodynamic and magnetohydrodynamic fluctuating pressure fields and the general magnetohydrodynamic turbulence field. Lastly, we discuss broadly the computational difficulties that arise in turbulence problems and their possible refinements. We include also some enlightments of the process of future work that could be undertaken in this field of research.

Słowa kluczowe

EN

Millionschikov's quasi-normality hypothesis; isotropic turbulence; zero-fourth cumulant approximation; homogeneous turbulence

PL

turbulencja izotropowa; fluktuacja prędkości; magnetohydrodynamika

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2014
• Tom: Vol. 19, no. 1
• Strony: 123--132
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Mamaloukas C.

• Department of Statistics Athens University of Economics and Business GREECE

autor

Mazumdar H. P.

• Indian Statistical Institute Calcutta – 700035, INDIA

Bibliografia

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