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Symmetry of heat and mass transfer equations in case of dependence of thermal diffusivity coefficient either on temperature or concentration
Author(s) -
Stepanova Irina V.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4811
Subject(s) - thermal diffusivity , thermodynamics , mass transfer , heat transfer coefficient , mathematics , mass diffusivity , symmetry (geometry) , function (biology) , heat equation , thermal , mass transfer coefficient , heat transfer , mathematical analysis , physics , geometry , evolutionary biology , biology
This paper describes the solution of group classification problem for heat and mass transfer equations with respect to 3 transport coefficients. Two coefficients depend on temperature and concentration, and the thermal diffusivity coefficient is the function of only one of these state parameters. The forms of the arbitrary elements providing the additional transformations are found. Examples of exact solutions of the governing equations are constructed.