Application of the Group-Theoretical Method to Physical Problems

DOI

10.2991/jnmp.1998.5.3.6How to use a DOI?

Abstract

The concept of the theory of continuous groups of transformations has attracted the attention of applied mathematicians and engineers to solve many physical problems in the engineering sciences. Three applications are presented in this paper. The first one is the problem of time-dependent vertical temperature distribution in a stagnant lake. Two cases have been considered for the forms of the water parameters, namely water density and thermal conductivity. The second application is the unsteady freeconvective boundary-layer flow on a non-isothermal vertical flat plate. The third application is the study of the dispersion of gaseous pollutants in the presence of a temperature inversion. The results are found in closed form and the effect of parameters are discussed.

Copyright

© 2006, 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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TY  - JOUR
AU  - Mina B. Abd-El-Malek
PY  - 1998
DA  - 1998/08/01
TI  - Application of the Group-Theoretical Method to Physical Problems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 314
EP  - 330
VL  - 5
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.3.6
DO  - 10.2991/jnmp.1998.5.3.6
ID  - Abd-El-Malek1998
ER  -