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Symmetry Analysis of Equations for Convection
Автор | Ryzhkov, Ilya I. | |
Дата внесения | 2008-12-22T06:58:23Z | |
Дата, когда ресурс стал доступен | 2008-12-22T06:58:23Z | |
Дата публикации | 2008-11 | |
URI (для ссылок/цитирований) | https://elib.sfu-kras.ru/handle/2311/829 | |
Аннотация | The differential equations describing convection in binary mixture with Soret and Dufour effects are considered. The symmetry classification of these equations with respect to the constant parameters is made. It is shown that a generator producing equivalence transformations of constants is defined accurately up to a factor arbitrarily depending on these constants. The equivalence group admitted by the governing equations is calculated. Using this group, a transformation connecting the systems with and without Soret and Dufour terms is derived. In pure Soret case, it reduces to a linear change of temperature and concentration. The presence of Dufour effect requires an additional change of thermal diffusivity and diffusion coefficient. A scheme for reducing an initial and boundary value problem for Soret–Dufour equations to a problem for the system without these effects is proposed. | en |
Размер | 349822 bytes | |
MIME | application/pdf | |
Язык | en | en |
Издатель | Сибирский федеральный университет. Siberian Federal University | en |
Является частью серии | Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physics | en |
Является частью серии | 2008 1 (4) | en |
Тема | Lie symmetry group | en |
Тема | equivalence transformation | en |
Тема | binary mixture | en |
Тема | convection | en |
Тема | Soret and Dufour | en |
Название | Symmetry Analysis of Equations for Convection | en |
Тип | Journal Article | |
Тип | Published Journal Article | |
Контакты автора | Ilya I.Ryzhkov: Institute of Computational Modelling SB RAS Krasnoyarsk, 660036 Russia, e-mail: rii@icm.krasn.ru | |
Страницы | 410-431 | |
sfu.metadata.dc.x-file | http://elib.sfu-kras.ru/bitstream/2311/829/1/%D1%80%D1%8B%D0%B6%D0%BA%D0%BE%D0%B2.pdf |