Journal of Nonlinear Mathematical Physics

Volume 15, Issue Supplement 1, August 2008, Pages 134 - 148

Group Invariant Solution for a Two-Dimensional Turbulent Free Jet described by Eddy Viscosity

Authors
D.P. Mason, D.L. Hill
Corresponding Author
D.P. Mason
Available Online 1 August 2008.
DOI
10.2991/jnmp.2008.15.s1.12How to use a DOI?
Abstract

The group invariant solution for the stream function and the effective viscosity of a two-dimensional turbulent free jet are derived. Prandtl’s hypothesis is not imposed. When the eddy viscosity is constant across the jet it is found that the mean velocity profile is the same as that of a laminar jet in agreement with G ?ortler (1942). When the eddy viscosity decreases across the jet it is found that the jet is narrower due to the decrease in the effective viscosity of the mean flow.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - Supplement 1
Pages
134 - 148
Publication Date
2008/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s1.12How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - D.P. Mason
AU  - D.L. Hill
PY  - 2008
DA  - 2008/08/01
TI  - Group Invariant Solution for a Two-Dimensional Turbulent Free Jet described by Eddy Viscosity
JO  - Journal of Nonlinear Mathematical Physics
SP  - 134
EP  - 148
VL  - 15
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s1.12
DO  - 10.2991/jnmp.2008.15.s1.12
ID  - Mason2008
ER  -