On self-preserving, variable-density, turbulent free jets
type: Item
instance of: scholarly article
title: On self-preserving, variable-density, turbulent free jets
zbMATH Open document ID: 0649.76034
DOI: 10.1007/BF00945429
author: S. H. Smith
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: Appropriately defined Gaussian error-functions are shown to represent closed-form solutions of self-preserving, axisymmetric, variable density, free turbulent jets. The turbulent diffusivities of momentum, mass or heat associated with such solutions are found to vary both in the streamwise and radial directions, and are different from each other. An entrainment function for the jet can also be derived from the present analysis. The entrainment coefficient is found to be uniquely related to the turbulent Reynolds number, \(Re_ t\), of the jet, which is one of the two parameters in the closed-form solutions. Inverse centreline values of velocity, density, mass fraction and temperature are found to be linearly proportional to the streamwise coordinate as are the spread of velocity and scalar. If the two parameters are determined from jet spread data, the resulting closed-form solutions are in good agreement with measurements.
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4060887
zbMATH Keywords: Gaussian error-functions
zbMATH Keywords: closed-form solutions
zbMATH Keywords: self-preserving, axisymmetric, variable density, free turbulent jets
zbMATH Keywords: entrainment function
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4060887