Mathematical Modeling of Nonstationary Separation Processes in Gas Centrifuge Cascade for Separation of Multicomponent Isotope Mixtures

Орлов, А. А.; Ushakov, A. A.; Sovach, V. P.

doi:10.1051/matecconf/20167201106

Cited by 6 publications

(7 citation statements)

References 3 publications

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“…On one hand, it is desirable that a transient process should be as short as possible, so that a centrifuge can reach the set-up working state as quickly as possible [1]. On the other hand, it is also desirable that a transient process can be utilized to create special separation effects that are otherwise unable to be produced by an ordinary steady state operation [2,3,4], so that components of small abundance can be separated efficiently. No matter what situation it is, a better understanding of the hydraulics as well as the law of separation during transient processes would allow us to have better control and use of transient processes.…”

Section: Introductionmentioning

confidence: 99%

Solution of the simplified fluid dynamic equation for transient processes in a gas centrifuge

Zeng

Borisevich

Smirnov

et al. 2022

J. Phys.: Conf. Ser.

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The equation describing a transient process in a gas centrifuge is a partial differential equation and has to be solved by using a numerical method. The Crank-Nicolson scheme and a central difference scheme are employed, respectively, for time discretization and space discretization. Under the condition of full circulation flow, the solution of the equation coincides with the result of the linear theory, verifying the correctness of numerical solution. The transient processes of a centrifuge are simulated with two withdrawal models to reveal the variations of the axial velocity with time in the processes. The results shows that for a given rotor peripheral speed, the radial distribution of the axial velocity depends mainly on the wall pressure and the withdrawal strength, but the influence of the withdrawals is much weaker than the wall pressure. The results also demonstrate that the partial differential equations describing the fluid dynamics in a transient process does exhibit the dynamic variations, and can be further applied to the analysis of separation performance.

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Section: Introductionmentioning

confidence: 99%

Solution of the simplified fluid dynamic equation for transient processes in a gas centrifuge

Zeng

Borisevich

Smirnov

et al. 2022

J. Phys.: Conf. Ser.

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show abstract

“…Following a set of experimental determinations, it is advisable to design a mathematical model, thus generating equations with which they can be tracking, analysed and optimized different industrial processes [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…In order to create a mathematical model corresponding for study, many works have been made and are presented in the specialized literature [28,29,31,32,34,38,[41][42][43][44], but a rather difficult problem arises when it is desired to identify a mathematical model that corresponds to several studies: -Studies that have been performed at different time intervals or in different locations but at the same time; -Studies conducted by different authors, but which have the same research field.…”

Section: Introductionmentioning

confidence: 99%

Identify the Mathematical Models Generated by the Table Curve 3 D Program

Moșneguțu¹,

Panainte-Lehăduș²,

Nedeff³

et al. 2022

Preprint

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This article describes the methodology used to identify the mathematical model that describes the correlations between the input parameters of an experiment and the parameters being followed. As a technological process, the aerodynamic separation was chosen, respectively, the behavior of a solid particle within an ascending vertical airflow. The experimental data obtained were used to identify two parameters, the average linear velocity, and the angular velocity, and through the Table Curve 3D program was developed a mathematical model which describes the dependence between the input parameters (the shape and size of the solid particle and the velocity of the airflow) and the monitored parameters. In order to determine a single mathematical equation that describes as accurately as possible the correlation between the input variables and those obtained, a pyramid-type analysis was designed. The determination of the mathematical equation started from the number of equations generated by the Table Curve 3D program, then the equations with a correlation coefficient greater than 0.85 were chosen, and finally, the common equations were identified. Respecting the working methodology was identified one equation which has for the average linear velocity a correlation coefficient r2 between 0.88-0.99 and 0.86-0.99 for the angular velocity.

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“…The usage of these type of models has the disadvantage that they cannot be used for highlighting the effects of the parametric disturbances that occur in the separation plant operation. In [48][49][50][51], the proposed models are designed for a simplified process, near a steady-state working point. These types of models are not complex enough (they do not cover the entire range of the variation domains of the input and output signals that occur in the separation plant operation) for obtaining high-control performances in the case when they are included in automatic control systems.…”

Section: Introductionmentioning

confidence: 99%

AI versus Classic Methods in Modelling Isotopic Separation Processes: Efficiency Comparison

et al. 2021

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In the paper, the comparison between the efficiency of using artificial intelligence methods and the efficiency of using classical methods in modelling the industrial processes is made, considering as a case study the separation process of the 18O isotope. Firstly, the behavior of the considered isotopic separation process is learned using neural networks. The comparison between the efficiency of these methods is highlighted by the simulations of the process model, using the mentioned modelling techniques. In this context, the final part of the paper presents the proposed model being simulated in different scenarios that can occur in practice, thus resulting in some interesting interpretations and conclusions. The paper proves the feasibility of using artificial intelligence methods for industrial processes modeling; the obtained models being intended for use in designing automatic control systems.

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Mathematical Modeling of Nonstationary Separation Processes in Gas Centrifuge Cascade for Separation of Multicomponent Isotope Mixtures

Cited by 6 publications

References 3 publications

Solution of the simplified fluid dynamic equation for transient processes in a gas centrifuge

Solution of the simplified fluid dynamic equation for transient processes in a gas centrifuge

Identify the Mathematical Models Generated by the Table Curve 3 D Program

AI versus Classic Methods in Modelling Isotopic Separation Processes: Efficiency Comparison

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