A statistical theory for the decay process of weak homogeneous convective turbulence
type: Item
instance of: scholarly article
title: A statistical theory for the decay process of weak homogeneous convective turbulence
zbMATH Open document ID: 0582.76046
DOI: 10.1007/BF00653805
author: B. George
published in: Astrophysics and Space Science
publication date: 1985-01-01T00:00:00Z
review text: 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 \(f=0\).
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3932635
zbMATH Keywords: Burgers's one-dimensional equations
zbMATH Keywords: weak homogeneous turbulent flow
zbMATH Keywords: fluctuating temperature field
zbMATH Keywords: eddy velocity field
zbMATH Keywords: Random fluctuations
zbMATH Keywords: one-dimensional model
zbMATH Keywords: Fourier space
zbMATH Keywords: linearized mode approximations
zbMATH Keywords: Energy decay equations
zbMATH Keywords: quasi-normal approximations
zbMATH Keywords: Bogoliubov expansion method
MaRDI profile type: Publication
cites work: Q3279001
cites work: A Theory of Decaying Homogeneous Turbulence
cites work: Statistical theory of the decay-process of weak homogeneous hydromagnetic turbulence
cites work: The theory of decay process of incompressible isotropic turbulence
full work available at URL: https://doi.org/10.1007/bf00653805
OpenAlex ID: W1996557105
description: scientific article; zbMATH DE number 3932635