A treatment of three dimensional incompressible turbulence

Details A treatment of three dimensional incompressible turbulence A treatment of three dimensional incompressible turbulence

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..89..229v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 89, no. 1, Jan. 1983, p. 229-232.

Astronomy and Astrophysics

Astrophysics

1

Atmospheric Turbulence, Hydrodynamics, Incompressible Flow, Three Dimensional Flow, Fourier Transformation, Navier-Stokes Equation, Three Dimensional Models

Scientific paper

Reference is made to the statistical study of the incompressible hydrodynamical turbulence without any mean motion that was carried out using the one-dimensional Burgers equation (Vithal and Vats, 1983). This resulted in an explicit proof of the existence of the 'cascade process' in turbulence, thus explaining the maintenance of atmospheric turbulence during a long period, even after the withdrawal of the external energy supply from solar radiations. In practice, however, it is necessary to deal with three-dimensional phenomena. The analysis is therefore extended here to a three-dimensional incompressible model, and it is shown that a cascade process also occurs in this system.

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