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Statements

Subject Item
n2:RIV%2F60461373%3A22340%2F04%3A00011258%21RIV%2F2005%2FMSM%2F223405%2FN
rdf:type
skos:Concept n14:Vysledek
dcterms:description
We study spatiotemporal solutions of reaction-diffusion-convection systems. As an example, we take a catalytic cross-flow tubular reactor with an exothermic chemical reaction of first order. Such a system is described by two partial differential equations, which can be solved together with boundary conditions. Neumann or Danckwerts boundary conditions are used depending on whether convection is involved or not. Analysis of spatiotemporal patterns, is preceded with analysis of stability and bifurcations of steady state in corresponding homogeneous system. Information from this analysis is then used to prediction of occurrence of different types of spatiotemporal patterns in reaction-diffusion and also reaction-diffusion-convection system. Spatiotemporal patterns are obtained by numerical integration. Effects of convection velocity on development of certain specific solutions are investigated, by using both numerical and analytical methods. Examples of simple spatiotemporal patterns are pulse and front Pro studium časoprostorových struktur reakčně-difuzně-konvekčních systémů byl použit model trubkového reaktoru s křížovým tokem, který je popsán dvěma parciálními diferenciálními rovnicemi, opatřenými okrajovými podmínkami podle Danckwertse nebo Neumanna. Analýze struktur předchází analýza stability a bifurkací stacionárního homogenního řešení, která je pak použita k predikci vzniku nehomogenních struktur. Existence těchto struktur je pak ověřována přímým numerickým výpočtem. Byly zkoumány např. Struktury typu pulsní a frontová vlna, tam a zpět se pohybující fronty (cik-cak struktury) a časoprostorový chaos. We study spatiotemporal solutions of reaction-diffusion-convection systems. As an example, we take a catalytic cross-flow tubular reactor with an exothermic chemical reaction of first order. Such a system is described by two partial differential equations, which can be solved together with boundary conditions. Neumann or Danckwerts boundary conditions are used depending on whether convection is involved or not. Analysis of spatiotemporal patterns, is preceded with analysis of stability and bifurcations of steady state in corresponding homogeneous system. Information from this analysis is then used to prediction of occurrence of different types of spatiotemporal patterns in reaction-diffusion and also reaction-diffusion-convection system. Spatiotemporal patterns are obtained by numerical integration. Effects of convection velocity on development of certain specific solutions are investigated, by using both numerical and analytical methods. Examples of simple spatiotemporal patterns are pulse and front
dcterms:title
Stability of spatiotemporal patterns in a model of cross-flow reactor Stability of spatiotemporal patterns in a model of cross-flow reactor Stabilita časoprostorových struktur v modelu reaktoru s křížovým tokem
skos:prefLabel
Stability of spatiotemporal patterns in a model of cross-flow reactor Stabilita časoprostorových struktur v modelu reaktoru s křížovým tokem Stability of spatiotemporal patterns in a model of cross-flow reactor
skos:notation
RIV/60461373:22340/04:00011258!RIV/2005/MSM/223405/N
n5:strany
073(1-10)
n5:aktivita
n13:Z
n5:aktivity
Z(MSM 223400007)
n5:dodaniDat
n8:2005
n5:domaciTvurceVysledku
n10:4246039 n10:2115204 n10:3445879 n10:2329689
n5:druhVysledku
n19:D
n5:duvernostUdaju
n9:S
n5:entitaPredkladatele
n12:predkladatel
n5:idSjednocenehoVysledku
587704
n5:idVysledku
RIV/60461373:22340/04:00011258
n5:jazykVysledku
n15:eng
n5:klicovaSlova
spatiotemporal chaos;zig-zag pattern;waves;reaction-diffusion-convection system
n5:klicoveSlovo
n6:zig-zag%20pattern n6:reaction-diffusion-convection%20system n6:waves n6:spatiotemporal%20chaos
n5:kontrolniKodProRIV
[8E99161A99B8]
n5:mistoKonaniAkce
Tatranské Matliare
n5:mistoVydani
Bratislava
n5:nazevZdroje
Proceeding of 31th International Conference of Chemical Engineering, Tatranské Matliare, Slovakia
n5:obor
n21:CI
n5:pocetDomacichTvurcuVysledku
4
n5:pocetTvurcuVysledku
4
n5:rokUplatneniVysledku
n8:2004
n5:tvurceVysledku
Kohout, Martin Trávníčková, Tereza Schreiber, Igor Kubíček, Milan
n5:typAkce
n17:WRD
n5:zahajeniAkce
2004-05-24+02:00
n5:zamer
n7:MSM%20223400007
s:numberOfPages
10
n20:hasPublisher
Slovenská technická univerzita v Bratislave
n11:isbn
80-227-2052-6
n18:organizacniJednotka
22340