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  • A mathematical model of microalgal growth is required for the optimisation of design parameters and operating conditions in a photobioreactor. This paper shows the state-of-the-art of photobioreactor modelling drawbacks residing mainly in multiple time and spatial scales involved in the problem. The modelling framework, preferred by the autors, is based on compartmental approach and leads to the system of ordinary differential equations and algebraical equations. This approach satisfactorily cope with physical (transport) and biochemical (reaction) processes in time micro-scale. The time course of microalgal biomass density in whole photobioreactor is received without loss of accuracy after spatial averaging of certain state variable and subsequent 'scale jump' to time macro-scale. The analytical and numerical solutions of a simple case study reveal the convincing conclusion about the role of mixing on photosynthetic productivity. The result of this study is in good qualitative agreement wit
  • A mathematical model of microalgal growth is required for the optimisation of design parameters and operating conditions in a photobioreactor. This paper shows the state-of-the-art of photobioreactor modelling drawbacks residing mainly in multiple time and spatial scales involved in the problem. The modelling framework, preferred by the autors, is based on compartmental approach and leads to the system of ordinary differential equations and algebraical equations. This approach satisfactorily cope with physical (transport) and biochemical (reaction) processes in time micro-scale. The time course of microalgal biomass density in whole photobioreactor is received without loss of accuracy after spatial averaging of certain state variable and subsequent 'scale jump' to time macro-scale. The analytical and numerical solutions of a simple case study reveal the convincing conclusion about the role of mixing on photosynthetic productivity. The result of this study is in good qualitative agreement wit (en)
  • Matematický model růstu řas ve fotobioreaktoru umožňuje jednak optimalizaci operačních podmínek a jednak vypracování metodologie optimálního návrhu fotobioreaktorů. V článku je pojednáno o současném stavu modelování fotobioreaktorů a o hlavních překážkách tohoto procesu, spočívajících zejména v mnohoškálovosti relevantních procesů. Dále je podrobněji představen hybridní multicompartment/CFD přístup, autory upřednostňovaný pro jednodušší propojení popisu biochemických procesů s režimem proudění, než je tomu u Lagrangeovského přístupu. Je navrženo rozdělení fotobioreaktoru na nejmenší možný počet tzv. dobře míchaných jednotek, ve kterých lze zprůměrovat intenzitu osvětlení. Biochemický proces (tj. fotosyntéza s uvažováním fotoinhibice) je popsán pomocí jednoduchého fenomenologického modelu tzv. fotosyntetické továrny. Tři stavy modelu, které jsou citlivé na rychlé změny intenzity osvětlení, se vyhodnocují v každé jednotce a následně je váženou sumací koncentrace buněk v aktivovaném stavu a tzv. škálový (cs)
Title
  • Transport and Reaction in Photobioreactors: Lagrange versus Euler Approach
  • Transportní a reakční procesy ve fotobioreaktorech: Lagrangeovský versus Eulerovský přístup (cs)
  • Transport and Reaction in Photobioreactors: Lagrange versus Euler Approach (en)
skos:prefLabel
  • Transport and Reaction in Photobioreactors: Lagrange versus Euler Approach
  • Transportní a reakční procesy ve fotobioreaktorech: Lagrangeovský versus Eulerovský přístup (cs)
  • Transport and Reaction in Photobioreactors: Lagrange versus Euler Approach (en)
skos:notation
  • RIV/60076658:12640/06:00006775!RIV07-MSM-12640___
http://linked.open.../vavai/riv/strany
  • 185-196
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  • Z(MSM6007665808)
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  • 504274
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  • RIV/60076658:12640/06:00006775
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  • photobioreactor; microalgae; compartmental models; CFD (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [669DA3A9ADBB]
http://linked.open...i/riv/mistoVydani
  • Praha
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  • Sborník 12. uživatelské konference FLUENT 2006
http://linked.open...in/vavai/riv/obor
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  • Štys, Dalibor
  • Petera, Karel
  • Papáček, Štěpán
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • TechSoft Engineering
https://schema.org/isbn
  • 80-239-7211-1
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  • 12640
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