A statistical theory for the decay process of weak homogeneous convective turbulence
In this paper we 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 an 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 \(f=v\) and \(f=0\).
scientific article; zbMATH DE number 3932635