Journal of Nonlinear Mathematical Physics

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Volume 16, Issue 3, September 2009, Pages 299 - 309

Conservation Laws for Heated Laminar Radial Liquid and Free Jets

Authors
R. Naz*, D. P. Mason†
School of Computational and Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, South Africa
Received 25 November 2008, Accepted 10 February 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925109000248How to use a DOI?
Keywords
Heated radial liquid jet; heated radial free jet; conservation laws; Prandtl's boundary layer equations; multiplier approach; Euler operator
Abstract

The conserved quantities for the heated radial liquid jet and the heated radial free jet are established by using conservation laws. The flow in a heated radial jet is described by Prandtl's momentum boundary layer equation, the continuity equation and the energy equation. Viscous dissipation is neglected. The multiplier approach is used to derive the conservation laws for the system of three equations for the velocity components and the temperature and three conserved vectors are obtained. The conservation laws for the system of two partial differential equations for the stream function formulation are also computed by the multiplier approach and three conserved vectors are obtained. One of these is a non-local conserved vector for the system. The conserved quantities for the heated radial liquid jet and the heated radial free jet, emitted into a stationary fluid of uniform temperature θ∞, are derived by integrating the conservation laws across the jet.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 3
Pages
299 - 309
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925109000248How to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - R. Naz
AU  - D. P. Mason
PY  - 2021
DA  - 2021/01/07
TI  - Conservation Laws for Heated Laminar Radial Liquid and Free Jets
JO  - Journal of Nonlinear Mathematical Physics
SP  - 299
EP  - 309
VL  - 16
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000248
DO  - 10.1142/S1402925109000248
ID  - Naz2021
ER  -