Application of the Group-Theoretical Method to Physical Problems
作者:
MinaB. Abd-El-Malek,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1998)
卷期:
Volume 5,
issue 3
页码: 314-330
ISSN:1402-9251
年代: 1998
DOI:10.2991/jnmp.1998.5.3.6
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
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.
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