Selective exothermic catalytic reactions in a reverse heat front

Autor:	Andrey Zagoruiko, Andrei Polyanin
Rok vydání:	2005
Předmět:	Spatial variable Mathematical and theoretical biology Nonlinear system General Chemical Engineering Theory of heat Ordinary differential equation Mass transfer Mathematical analysis Separation of variables Heat equation General Chemistry Mathematics
Zdroj:	Theoretical Foundations of Chemical Engineering. 39:70-77
ISSN:	1608-3431 0040-5795
DOI:	10.1007/s11236-005-0010-y
Popis:	New classes of exact solutions of nonlinear sets of equations of the theory of heat and mass transfer in reactive media and mathematical biology are described. Various sets of the general form are considered, in which the chemical reaction rates depend on two or three arbitrary functions. Among the exact solutions obtained are solutions with ordinary, generalized, and functional separation of variables; time–periodic solutions; solutions that are periodic in the spatial coordinate; etc. A number of solutions contain arbitrary functions (they are expressed in terms of solutions of the linear heat equation and solutions of sets of ordinary differential equations). Sets describing the multicomponent reaction—diffusion and also some sets in several spatial variables are studied.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5a61cdcd1eea65eb821ac4e63fcdf250 https://doi.org/10.1007/s11236-005-0010-y Zobrazit plný text záznamu Plný text ve formátu PDF