A statistical theory for the decay process of weak homogeneous convective turbulence

Details A statistical theory for the decay process of weak homogeneous convective turbulence A statistical theory for the decay process of weak homogeneous convective turbulence

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.115..267k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 115, no. 2, Oct. 1985, p. 267-274.

Mathematics

Dynamical Systems

Flow Distortion, Kinetic Equations, Statistical Analysis, Turbulent Flow, Decay, Dynamical Systems, Mathematical Models, Reynolds Number, Temperature Gradients

Scientific paper

The authors have derived kinetic equations for the decay of kinetic and thermal energy of a weak homogeneous turbulent flow in which the fluctuating temperature field is superimposed on the eddy velocity field. Random fluctuations of velocity and temperature in a one-dimensional model have been considered on the basis of wavenumbers in Fourier space together with linearized mode approximations. Energy decay equations have been obtained in closed form, using quasi-normal approximations and the Bogoliubov expansion method. The paper also discusses the cases of f = ν and f = 0.

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