Modeling of Wastewater Treatment Process in a Flotation Setup with Ejection Aeration System Having a Disperser

2017 ◽  
Vol 6 (1) ◽  
pp. 43-50
Author(s):  
Антонова ◽  
E. Antonova
Keyword(s):  
Mathematical Modeling ◽  
Water Density ◽  
Wastewater Treatment Process ◽  
Flotation Process ◽  
Ideal Displacement ◽  
Ideal Mixing ◽  
Aeration System ◽  
Proposed Model ◽  
Suspended Substances ◽  
Hydrodynamic Situation

The mathematical modeling of flotation process has been considered in this paper. It has been pointed out that in the event when there are different types of pollutants in water the generation of bubbles with wide size-consist is needed. A flotation setup with ejection aeration system having a disperser that allows generate the bubbles which size-consist is characterized by several sets with their own values of average diameters is considered. The mathematical model for flotation process description taking into account the division of bubbles into several groups in sizes and hydrodynamic situation in flotation chambers has been proposed. Based on proposed model have been obtained other models describing extraction of certain waste, considering their properties, in such a case the initial model has been complemented by stages of other processes: settlement stage during flotation of suspended substances with density higher than water density, self-floating stage during flotation of contaminations with density less than water density, and reverse stages during flotation of hydrophobic-hydrophilic contaminations. The example of time definition for the process of water treatment from suspended substances and oil products has been presented. It has been demonstrated that it is possible to considerate the two-chamber flotation setup with ejection aeration system having a disperser as a sequence of reactors providing ideal mixing and displacement. Taking into account the equations for the reactors providing ideal mixing and ideal displacement, and the proposed models for description of process passing in cameras, have been received dependences for determination of concentrations and cleaning time in each camera. The importance of mathematical modeling for flotation setups designing has been pointed out. Application of scientifically based approach at design allows create setups having bigger profitability and compactness at achievement of the required efficiency.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

Mathematical Modeling and Analysis of Covid-19 Infection spreads in India with Restricted Optimal Treatment on Disease Incidence

BIOMATH ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 2106147
Author(s):  
Debkumar Pal ◽  
D Ghosh ◽  
P K Santra ◽  
G S Mahapatra
Keyword(s):  
Mathematical Modeling ◽  
Objective Function ◽  
Reproduction Number ◽  
Disease Incidence ◽  
Treatment Control ◽  
Modeling And Analysis ◽  
Proposed Model ◽  
The Cost ◽  
Disease Free ◽  
The Basic Reproduction Number

This paper presents the current situation and how to minimize its effect in India through a mathematical model of infectious Coronavirus disease (COVID-19). This model consists of six compartments to population classes consisting of susceptible, exposed, home quarantined, government quarantined, infected individuals in treatment, and recovered class. The basic reproduction number is calculated, and the stabilities of the proposed model at the disease-free equilibrium and endemic equilibrium are observed. The next crucial treatment control of the Covid-19 epidemic model is presented in India's situation. An objective function is considered by incorporating the optimal infected individuals and the cost of necessary treatment. Finally, optimal control is achieved that minimizes our anticipated objective function. Numerical observations are presented utilizing MATLAB software to demonstrate the consistency of present-day representation from a realistic standpoint.

scholarly journals Development of energy-efficient method for processing industrial waste

2019 ◽  
Vol 4 (311) ◽  
pp. 82-92
Author(s):  
B. I. Dikhanbayev ◽  
◽  
A.B. Dikhanbayev ◽  
Keyword(s):  
Rotary Kiln ◽  
Ferrous Metal ◽  
Cost Effective ◽  
Specific Productivity ◽  
Phase Layer ◽  
Industrial Sample ◽  
Ideal Displacement ◽  
Ideal Mixing ◽  
Waelz Kiln ◽  
New Generation

An energy-saving method for processing technogenic waste has been developed — a smelt layer with inversion phase as a combination of “ideal” mixing and “ideal” displacement regimes. On its basis, a new generation of melting unit was created - the “reactor inversion phase - rotary kiln”. Experimental data show that in the inversion phase layer the specific fuel consumption for processing the “poor” on zinc and “rich” on zinc slags is approximately the same. The latter provision contradicts the prevailing opinion of metallurgists that the processing of slag with a zinc concentration of less than 5% is unprofitable. Сalculation results demonstrate that in case of implementation of an industrial sample of “reactor inversion phase - rotary kiln for processing “poor” slag, compared to the Waelz kiln processing “rich” slag, the specific consumption of fuel will be reduced by 1.5-1.7 times and specific productivity will increase 1.4-1.5 times. The industrial realization of “reactor inversion phase -rotary kiln” would allow cost-effective processing of fuming slag dumps, Waelz clinker, “poor” zinc ores, enrichment tails and other non-ferrous metal wastes.

Non-Conventional Technologies for the Manufacturing Systems Use in Biological Wastewater Treatment Process

2015 ◽  
Vol 809-810 ◽  
pp. 1573-1578
Author(s):  
Casen Panaitescu ◽  
Monica Emanuela Stoica ◽  
Ciner Fehiman
Keyword(s):  
Wastewater Treatment ◽  
Oxygen Transfer ◽  
Manufacturing Systems ◽  
Wastewater Treatment Plants ◽  
Design Parameters ◽  
Biological Wastewater Treatment ◽  
Wastewater Treatment Process ◽  
Aeration System ◽  
Treatment Technologies ◽  
And Performance

Manufacture of wastewater treatment technologies is an important issue due to the complexity of design parameters and performance. Biological wastewater treatment is a process in which the intensity of oxygen transfer into water is an issue that has been extensively studied but yet insufficiently resolved. The present paper aims to describe an aeration system developed by the author in the laboratory by means of non-conventional technologies, and subsequently implemented in refinery wastewater treatment plants. The aeration system takes the form of modules, which are equipped with a new type of membrane. The analysis of the system performance revealed that oxygen transfer was 62%, specific adsorption of oxygen was 37 % and the specific oxygen transfer was 7%/m. The advantages of this new system are as follows: compared to existing technologies there is a higher rate of oxygen transfer into water; longer life; there are no dead zones in the basin as a result of their location; possibility of operating on separate sections.

scholarly journals Fractional Dynamics in Soccer Leagues

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 356 ◽  
Author(s):  
António M. Lopes ◽  
Jose A. Tenreiro Machado
Keyword(s):  
Mathematical Modeling ◽  
Fractional Calculus ◽  
Real World ◽  
Complex Dynamics ◽  
Statistical Information ◽  
Fractional Dynamics ◽  
Entropy Analysis ◽  
Real World Data ◽  
Proposed Model ◽  
Soccer Teams

This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude of other effects. The scale of observation focuses the teams’ behavior at each round. Two approaches are considered, namely the evaluation of the team progress along the league by a variety of heuristic models fitting real-world data, and the analysis of statistical information by means of entropy. The best models are also adopted for predicting the future results and their performance compared with the real outcome. The computational and mathematical modeling lead to results that are analyzed and interpreted in the light of fractional dynamics. The emergence of patterns both with the heuristic modeling and the entropy analysis highlight similarities in different national leagues and point towards some underlying complex dynamics.

scholarly journals Impact of Awareness to Control Malaria Disease: A Mathematical Modeling Approach

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Malik Muhammad Ibrahim ◽  
Muhammad Ahmad Kamran ◽  
Malik Muhammad Naeem Mannan ◽  
Sangil Kim ◽  
Il Hyo Jung
Keyword(s):  
Mathematical Modeling ◽  
Numerical Technique ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Awareness Campaign ◽  
Runge Kutta Method ◽  
Proposed Model ◽  
Awareness Programs ◽  
Disease Free ◽  
Differential Process

The mathematical modeling of malaria disease has a crucial role in understanding the insights of the transmission dynamics and corresponding appropriate prevention strategies. In this study, a novel nonlinear mathematical model for malaria disease has been proposed. To prevent the disease, we divided the infected population into two groups, unaware and aware infected individuals. The growth rate of awareness programs impacting the population is assumed to be proportional to the unaware infected individuals. It is further assumed that, due to the effect of awareness campaign, the aware infected individuals avoid contact with mosquitoes. The positivity and the boundedness of solutions have been derived through the completing differential process. Local and global stability analysis of disease-free equilibrium has been investigated via basic reproductive number R0, if R0 < 1, the system is stable otherwise unstable. The existence of the unique endemic equilibrium has been also determined under certain conditions. The solution to the proposed model is derived through an iterative numerical technique, the Runge–Kutta method. The proposed model is simulated for different numeric values of the population of humans and anopheles in each class. The results show that a significant increase in the population of susceptible humans is achieved in addition to the decrease in the population of the infected mosquitoes.

Mathematical Modeling of Ultra-High-Pressure Waterjet Peening

2005 ◽  
Vol 127 (2) ◽  
pp. 186-191 ◽  
Author(s):  
S. Kunaporn ◽  
M. Ramulu ◽  
M. Hashish
Keyword(s):  
Mathematical Modeling ◽  
High Pressure ◽  
High Cycle Fatigue ◽  
Fatigue Tests ◽  
Analytical Models ◽  
Test Results ◽  
Ultra High Pressure ◽  
Proposed Model ◽  
Compressive Residual Stresses ◽  
Good Agreement

Waterjet peening is a recent promising method in surface treatment. It has the potential to induce compressive residual stresses that benefit the fatigue life of materials similar to the conventional shot peening process. However, there are no analytical models that incorporate process parameters (i.e., supply pressure, jet exposure time, and nozzle traverse rate, etc) to allow predicting the optimized peening process. Mathematical modeling of high-pressure waterjet peening was developed in this study to describe the relation between the waterjet peening parameters and the resulting material modifications. Results showed the possibility of using the proposed mathematical model to predict an initial range for effective waterjet peening under the variation of waterjet peening conditions. The high cycle fatigue tests were performed to validate the proposed model and fatigue test results showed good agreement with the predictions.

Mathematical Modeling and Stability Analysis of Japanese Encephalitis

2020 ◽  
Vol 12 (1) ◽  
pp. 120-127
Author(s):  
Vinod Baniya ◽  
Ram Keval
Keyword(s):  
Mathematical Modeling ◽  
Japanese Encephalitis ◽  
Disease Transmission ◽  
Equilibrium Points ◽  
Numerical Verification ◽  
Transmission Potential ◽  
Dynamical Behaviors ◽  
Proposed Model ◽  
The Stability ◽  
Stability Issues

Mathematical modeling of Japanese encephalitis (JE) disease in human population with pig and mosquito has been presented in this paper. The proposed model, which involves three compartments of human (Susceptible, Vaccinated, Infected), two compartments of mosquito (Susceptible, Infected) and three compartments of the pig (Susceptible, Vaccinated, Infected). In this work, it is assumed that JE spreads between susceptible class and infected mosquitoes only. Basic results like boundedness of the model, the existence of equilibrium and local stability issues are investigated. Here, to measure the disease transmission potential in the population the basic reproduction number (R0) from the system has been analyzed w.r.t. control parameters both numerically and theoretically. The dynamical behaviors of the system have been analyzed by using the stability theory of differential equations and numerical simulations at equilibrium points. A numerical verification of results is carried out of the model under consideration.

Mathematical Modeling of a Two Spool Flow Control Servovalve Using a Pressure Control Pilot1

2002 ◽  
Vol 124 (3) ◽  
pp. 420-427 ◽  
Author(s):  
Randall T. Anderson ◽  
Perry Y. Li
Keyword(s):  
Mathematical Modeling ◽  
Flow Control ◽  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Pressure Control ◽  
Dynamic Effects ◽  
Nonlinear Dynamic Model ◽  
Two Stage ◽  
Matlab Simulink ◽  
Proposed Model

A nonlinear dynamic model for an unconventional, commercially available electrohydraulic flow control servovalve is presented. The two stage valve differs from the conventional servovalve design in that: it uses a pressure control pilot stage; the boost stage uses two spools, instead of a single spool, to meter flow into and out of the valve separately; and it does not require a feedback wire and ball. Consequently, the valve is significantly less expensive. The proposed model captures the nonlinear and dynamic effects. The model has been coded in Matlab/Simulink and experimentally validated.

scholarly journals Mathematical assessment of the depth of the passive method of induced polarization based on experimental data

2021 ◽  
Vol 2094 (5) ◽  
pp. 052007
Author(s):  
P V Belolipetskii ◽  
V S Potylitsyn ◽  
G Y Shajdurov ◽  
V V Romanov
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Induced Polarization ◽  
Field Observations ◽  
Passive Method ◽  
Proposed Model ◽  
Numerical Assessment ◽  
Exploration Drilling ◽  
Polarization Coefficient ◽  
The Mathematical Model

Abstract The article discusses a numerical model for assessing the depth for the passive method of induced polarization based on previously obtained experimental data at the Samson field (Republic of Khakassia). The model is based on the mathematical model of Komarov, who derived equations for the anomalous polarizability of a sphere observed on the Earth’s day surface, the proposed model for estimating the depth of the anomaly depends on the size of the proposed field and the induced polarization coefficient observed on the surface. In the course of the numerical assessment, it was shown that there is a convergence of data from field observations, exploration drilling and mathematical modeling.

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