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Article information
2010 , Volume 15, ¹ 4, p.47-56
Andreev V.K., Stepanova I.V.
Symmetry of thermodiffusion equations at nonlinear dependence of buoyancy force on temperature and concentration
Symmetry properties of thermodiffusion equations are investigated at nonlinear dependence of buoyancy forces on temperature and concentration. Basic Lie algebra of operators admitted by the equations at arbitrary values of function that defines buoyancy forces is found. The specializations of the classifying function, which expand the basic Lie algebra are calculated. Some invariant solutions describing liquid motions under the influence of buoyancy forces and Soret effect are constructed.
[full text]
Keywords: symmetry properties, Lie algebra, equations of thermodiffusion, force of buoyancy
Author(s):
Andreev Viktor Konstantinovich
Dr. , Professor
Position: Head of Departament
Office: Institut Computing Simulation of SB RAS
Address: 660036, Russia, Krasnoyarsk
Phone Office: (3912) 49 47 61
E-mail: andr@icm.krasn.ru
Stepanova Irina Vladimirovna
PhD.
Position: Junior Research Scientist
Office: Institute of Computational Modelling SB RAS
Address: 63009, Russia, Krasnoyarsk
Phone Office: (391) 290 75 28
E-mail: stepiv@icm.krasn.ru
Bibliography link:
Andreev V.K., Stepanova I.V. Symmetry of thermodiffusion equations at nonlinear dependence of buoyancy force on temperature and concentration // Computational technologies. 2010. V. 15. ¹ 4. P. 47-56
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