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Charakterystyki technologiczne procesów mikrobiologicznych w hybrydowym bioreaktorze fluidalnym

Tabiś B.

Przemysł Chemiczny

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2016

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T. 95, nr 10

2012--2016

PL

Przedstawiono charakterystykę technologiczną hybrydowego bioreaktora fluidalnego z zewnętrzną rurą cyrkulacyjną. Wykonano obliczenia symulacyjne dla dwóch różnych dwusubstratowych modeli kinetycznych dwóch wybranych procesów mikrobiologicznych. Analizie poddano właściwości technologiczne takiego bioreaktora w zależności od czasu przebywania fazy ciekłej w aparacie. Porównano charakterystykę stacjonarną hybrydowego bioreaktora fluidalnego z powszechnie stosowanym barbotażowym bioreaktorem zbiornikowym. Przedstawione wykresy umożliwiają zastosowanie oraz dobór właściwych parametrów procesowych w instalacjach wykorzystujących hybrydowe bioreaktory fluidalne.

EN

Numerical simulations were carried to describe the biodegrdn. of glucose and PhOH in a bioreactor with an external circulation tube. The process were detd. as a function of residence time of the liq. phase in the bioreactor. Similar numerical simulations were carried out for biodegrdn. in a commonly used bubble-stirred tank bioreactor. The resulting characteristics were presented as branches of steady states of the processes.

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The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change

Zhernovyi Y., Kopytko B.

Journal of Applied Mathematics and Computational Mechanics

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2016

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Vol. 15, nr 1

197--210

EN

We propose a method for determining the probabilistic characteristics of the M/G/1/m queueing system with the random dropping of arrivals and distribution of the service time depending on the queue length. Two sets of service modes, with the service time distribution functions Fn (x) and Fn (x) respectively, are used according to the twothreshold hysteretic strategy. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.

3

The potentials method for a closed queueing system with hysteretic strategy of the service time change

Zhernovyi Y., Kopytko B.

Journal of Applied Mathematics and Computational Mechanics

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2015

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Vol. 14, nr 2

131--143

EN

We propose a method for determining the characteristics of a single-channel closed queueing system with an exponential distribution of the time generation of service requests and arbitrary distributions of the service times. In order to increase the system capacity, two service modes (the main mode and overload mode), with the service time distribution functions F ( x ) and F ( x ) respectively, are used. The overload mode starts functioning if at the beginning of service of the next customer the number of customers in the system ξ(t ) satisfies the condition ξ (t ) > h2. The return to the main mode carried out at the beginning of service of the customer, for which ξ (t ) = h1, where 1 ≤ h1 < h2. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.