The phenomena of turbulent transport and the renormalization-group method
type: Item
instance of: scholarly article
title: The phenomena of turbulent transport and the renormalization-group method
zbMATH Open document ID: 0691.76063
DOI: 10.1016/0021-8928(88)90130-X
author: E. V. Teodorovich
published in: Journal of Applied Mathematics and Mechanics
publication date: 1988-01-01T00:00:00Z
review text: The renormalization-group (RG) method is used to study the transport of a scalar passive impurity by turbulent velocity pulses. A solution is obtained for the turbulent Prandtl numbers, which, in the case of large- scale long-term processes (the infrared limit) tends to a universal constant, which depends only on the dimensionality of the space. The version of RG method employed enables the behaviour of the diffusion coefficient and of the Prandtl number to be found on approaching the asymptotic mode, and for it to be shown that asymptotic RG methods can be used to describe the development of turbulence in the inertial interval of the spectrum (IIS) of wave numbers.
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4131822
zbMATH Keywords: renormalization-group method
zbMATH Keywords: scalar passive impurity
zbMATH Keywords: turbulent velocity pulses
zbMATH Keywords: large-scale long-term processes
zbMATH Keywords: diffusion coefficient
MaRDI profile type: Publication
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full work available at URL: 0021-8928(88)90130-x
OpenAlex ID: W2038498719
description: scientific article; zbMATH DE number 4131822