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title:
 
Application of the Group-Theoretical Method to Physical Problems
publication:
 
JNMP
volume-issue:   5 - 3
pages:   314 - 330
ISSN:
  1402-9251
DOI:
  doi:10.2991/jnmp.1998.5.3.6 (how to use a DOI)
author(s):
 
Mina B. ABD-EL-MALEK
publication date:
 
August 1998
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:
 
© The authors.
This article is distributed under the terms of the Creative Commons Attribution License 4.0, which permits non-commercial use, distribution and reproduction in any medium, provided the original work is properly cited. See for details: https://creativecommons.org/licenses/by-nc/4.0/
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