. "0"^^ . "Mathematical modeling of heterogeneous catalytic reactions in porous media"@en . . "Matematick\u00E9 modelov\u00E1n\u00ED heterogenn\u00EDch katalytick\u00FDch reakc\u00ED v por\u00E9zn\u00EDm prost\u0159ed\u00ED"@cs . . "593"^^ . . . . "1"^^ . "0"^^ . . "3"^^ . "3"^^ . . . "593"^^ . "Podstatou projektu je studium dynamiky chemick\u00FDch reakc\u00ED na povrchu katalyz\u00E1tor\u016F. Jedn\u00E1 se o reakce prob\u00EDhaj\u00EDc\u00ED v monolitick\u00FDch reaktorech p\u0159i dospalov\u00E1n\u00ED v\u00FDfukov\u00FDch plyn\u016F a na povrchu katalyz\u00E1tor\u016F p\u0159i polymerac\u00EDch olefin\u016F. V p\u0159\u00EDpad\u011B monolitick\u00FDchreaktor\u016F se zam\u011B\u0159ujeme na tzv. mikroreaktory, jejich\u017E charakteristick\u00E9 rozm\u011Bry jsou men\u0161\u00ED ne\u017E 1 milimetr a maj\u00ED proto velkou hodnotu pom\u011Bru povrchu a objemu. V p\u0159\u00EDpad\u011B polymerac\u00ED olefin\u016F je katalyz\u00E1tor tvo\u0159en \u010D\u00E1stic\u00ED o velmi mal\u00E9m objemu, ale velk\u00E9mpovrchu, odpov\u00EDdaj\u00EDc\u00EDmu por\u00E9zn\u00ED struktu\u0159e katalyz\u00E1toru. C\u00EDlem projektu je v\u00FDvoj matematick\u00FDch model\u016F, kter\u00E9 popisuj\u00ED reakce v por\u00E9zn\u00EDm prost\u0159ed\u00ED katalyz\u00E1tor\u016F se zam\u011B\u0159en\u00EDm na nestacion\u00E1rn\u00ED d\u011Bje a popis vlivu struktury katalyz\u00E1tor\u016F na pr\u016Fb\u011Bh reakc\u00ED. Budourozv\u00EDjeny p\u0159\u00EDslu\u0161n\u00E9 numerick\u00E9 metody a software a to jak metody neline\u00E1rn\u00ED dynamiky pro popis nestacion\u00E1rn\u00EDho chov\u00E1n\u00ED, tak metody digit\u00E1ln\u00ED reprezentace por\u00E9zn\u00EDho media. V\u00FDsledky simulac\u00ED modelu budou porovn\u00E1v\u00E1ny s v\u00FDsledky z\u00EDskan\u00FDmi z experimentu na"@cs . "Neuvedeno."@en . "The main subject of the project is the study of dynamics of chemical reactions on the surface of catalysts in microreactors. We shall consider reactions taking place in monolithic reactors during combustion of exhaust gases and in the gas phase catalyticpolymerisations of olefins on porous catalysts. In the case of monolithic reactors we consider microreactors, which have characteristic length smaller than 1 mm and thus very high ratio of surface to volume. Catalysts for the polymeration of olefins havevery small volume and large surface corresponding to porous structure of catalyst particles. The aim of the project is the development of mathematical models describing the course of reactions in porous structure of catalysts together with thedevelopmentof necessary numerical methods and software including both the methods of non-linear dynamics and the methods for digital representation of porous structure of the catalyst. The results of modelling will be compared with the results of"@en . . .