Three-dimensional multi-species mathematical model of the aerobic granulation process based on cellular automata theory

2018 ◽  
Vol 77 (12) ◽  
pp. 2761-2771
Author(s):  
Guoqiang Zheng ◽  
Kuizu Su ◽  
Shuai Zhang ◽  
Yulan Wang ◽  
Weihong Wang
Keyword(s):  
Mathematical Model ◽  
Spatial Distribution ◽  
Cellular Automata ◽  
Three Dimensional ◽  
Granular Sludge ◽  
Automata Theory ◽  
Aerobic Granular Sludge ◽  
Granulation Process ◽  
Autotrophic Bacteria ◽  
Degrading Bacteria

Abstract Aerobic granular sludge is a kind of microbial polymer formed by self-immobilization under aerobic conditions. It has been widely studied because of its promising application in wastewater treatment. However, the granulation process of aerobic sludge is still a key factor affecting its practical application. In this paper, a three-dimensional (3D) multi-species mathematical model of aerobic granular sludge was constructed using the cellular automata (CA) theory. The growth process of aerobic granular sludge and its spatial distribution of microorganisms were studied under different conditions. The simulation results show that the aerobic granules were smaller under high shear stress and that the autotrophic bacterial content of the granular sludge interior was higher. However, the higher the dissolved oxygen concentration, the larger the size of granular sludge and the higher the content of autotrophic bacteria in the interior of the granular sludge. In addition, inhibition of toxic substances made the aerobic granule size increase more slowly, and the spatial distribution of the autotrophic bacteria and the toxic-substance-degrading bacteria were mainly located in the outer layer, with the heterotrophic bacteria mainly existing in the interior of the granular sludge.

Cellular automata based model of formation of aerobic granular sludge

2018 ◽  
Vol 14 (3) ◽  
pp. 216
Author(s):  
Ben Zhai Hai ◽  
Jie Yang ◽  
Wan Lei Han ◽  
Zong Bo Qiu
Keyword(s):  
Cellular Automata ◽  
Granular Sludge ◽  
Aerobic Granular Sludge

scholarly journals Simulating the Gluing of Wood Particles by Lattice Gas Cellular Automata and Random Walk

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 988
Author(s):  
Carina Rößler ◽  
Felix Breitenecker ◽  
Martin Riegler
Keyword(s):  
Mathematical Model ◽  
Random Walk ◽  
Cellular Automata ◽  
Lattice Gas ◽  
Three Dimensional ◽  
Three Dimensional Model ◽  
Model And Simulation ◽  
Wood Particles ◽  
Lattice Gas Cellular Automata ◽  
Modelling Methods

In this work a mathematical model and simulation for the gluing of wood particles designated for particleboards is presented. The aim is to obtain a better understanding of the gluing process. Thus, the behaviour of wood particles during gluing is investigated and the resulting adhesive distribution across the surface of the wood particles is analysed. For developing a mathematical model, the modelling methods “lattice gas cellular automata” and “random walk” were used. The model was implemented in MATLAB and different scenarios were simulated for answering the main questions of the behaviour during gluing. The influences of different parameters on the adhesive distribution were investigated and quantitatively determined by several key figures. Based on these key figures, the effects of the mixing arm, realistic size distributions of wood particles and adhesive droplets, the transfer of adhesive, and the total mass of adhesive are discussed. Furthermore the results are compared with experimental measurements. The simulation results show that the model can feasibly be used for studying the gluing of wood particles. For a possible industrial application, additional research for developing a three-dimensional model is needed.

Cultivation of Aerobic Granular Sludge under Selective Pressure in a Sequencing Batch Reactor

2011 ◽  
Vol 255-260 ◽  
pp. 3037-3041 ◽  
Author(s):  
Kui Zu Su ◽  
Chang Wang ◽  
Hui Fang
Keyword(s):  
Suspended Solids ◽  
Sequencing Batch Reactor ◽  
Settling Velocity ◽  
Selective Pressure ◽  
Batch Reactor ◽  
Oxygen Demand ◽  
Granular Sludge ◽  
Volume Index ◽  
Aerobic Granular Sludge ◽  
Granulation Process

Aerobic granules were cultivated in the sequencing batch reactor at 15-25°C, pH 7.0 ± 0.1. Settling time decreased from 5 minutes to 1 minute gradually. As increasing the chemical oxygen demand (COD) and NH3-N in influent, COD removal efficiency and mixed liquid suspended solids of the reactor increased. Sludge volume index decreased continuously for a few days and then stabilized at 22 ml g-1. Selective pressure induced by settling velocity was proved to play a crucial role in activated sludge granulation. Based on the continuously measured data, the granulation process was divided into three phases, granules namely initiating, developing and maturating.

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