On the pressure fluctuations associated with a general type of turbulence

Mazumdar, H. P.

doi:10.1007/bf00420386

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Applications Of Quasi-normality Hypothesis A) Early-period D1

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2014

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“…The set of Eqs (2.8) and (2.9) has been obtained under the assumption of homogeneity and isotropy. d) Mazumdar (1979Mazumdar ( , 1984) applied Millionschikov's quasi-normality hypothesis, respectively, to the fields of hydro-dynamic and hydro magnetic turbulence and derived the following expressions for the spectra of respective pressure fluctuations, as…”

Section: Applications Of Quasi-normality Hypothesis A) Early-period Dmentioning

confidence: 99%

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

Mamaloukas¹,

Mazumdar²

2014

International Journal of Applied Mechanics and Engineering

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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.

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Section: Applications Of Quasi-normality Hypothesis A) Early-period Dmentioning

confidence: 99%