Mathematical Model of Dispersed Phase Gas Separation in a Combined Equipment

Агеев, А. И.; Yakhontov, D. A.; Kadyrov, T. F.; Фарахов, М. М.; Лаптева, Е. А.

doi:10.1007/s10556-019-00669-8

Cited by 6 publications

(7 citation statements)

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“…Thus, for the given conditions, particles with a diameter of 3 µm and more are captured almost completely, and at d particle < 3 µm the efficiency is significantly reduced. The results of the calculation of the mass transfer efficiency E c (22) (air humidification with water) and the separation of particles with a diameter of 1 and 3 µm with a density of ρ particle = 2000 kg/m 3 in a tube H = 0.2 m long and with a diameter ofd = 0.0168 m with an experimental pressure drop P for the air-water are given in the table. For very small particles, it is possible to increase the efficiency of processes by using channels with discretely rough walls or swirling flows.…”

Section: Calculation Resultsmentioning

confidence: 99%

Numerical model of heat and mass transfer and separation of the dispersed phase in high-speed dispersed-annular flows of gas and liquid

A.G.

E.A.

2022

Technical Physics

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To solve scientific and technical problems, physical processes are considered and systems of equations are written numerical and approximate mathematical model of combined heat and mass transfer at contact cooling of gases and heating of water, as well as turbulent transfer of particles in an ascending dispersed annular flow of gas and liquid. The numerical model is based on a system of equations in particular derivatives in two-dimensional form with boundary conditions of the fourth kind. Approximate model built using a system of algebraic equations of the cell model of the flow structure for gas and liquid phases, where the main parameters are the number of cells of complete mixing, coefficients heat and mass transfer and turbulent transfer of particles. An example of solving a system of equations is shown cell model with calculation of gas and liquid temperature profiles, moisture and particle concentrations, and also the efficiency of the heat and mass transfer process, the efficiency of separation of the finely dispersed phase from the gas liquid film in cocurrent flow. Comparative characteristics of film devices are given. Noted introduction of scientific and technical developments in the purification of natural gas at production sites. Keywords: heat and mass transfer, gas cooling, particle separation, phase co-current flow, systems of transfer equations.

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Section: Calculation Resultsmentioning

confidence: 99%

Numerical model of heat and mass transfer and separation of the dispersed phase in high-speed dispersed-annular flows of gas and liquid

A.G.

E.A.

2022

Technical Physics

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“…Regardless of the scope of the practical research, in industry, agriculture (in the case presented, aerodynamic separation), medicine, or environmental protection, following a set of experimental determinations, it is advisable to design a mathematical equation, thus generating equations with which they can be tracked, analyzed, and optimized [27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

“…In order to create a mathematical equation corresponding to different experimental research, many works have been conducted and are presented in the specialized literature [27][28][29][30]32,[36][37][38][39]. However, a rather difficult problem arises when it is desired to identify a mathematical equation that corresponds to several studies: -Studies that were carried out at different times 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%

Extraction of Mathematical Correlations Applied in the Aerodynamic Separation of Solid Particles

et al. 2022

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This article describes the methodology used to identify the mathematical equation that describes the correlations between the input and output parameters of an experiment. As a technological process, aerodynamic separation was chosen to represent the behavior of a solid particle within an ascending vertical airflow. The experimental data were used to identify two parameters, namely the average linear velocity and the angular velocity. The Table Curve 3D program was used to develop a mathematical equation describing the dependence between the input parameters (the shape and size of the solid particle, as well as the velocity of the airflow) and the monitored parameters. A pyramid-type analysis (following a filtering system, a general equation was determined from a large number of equations that characterize an experimental set mathematically) was designed in order to determine a single mathematical equation that describes the correlation between the input variables and those obtained as accurately as possible. The determination of the mathematical equation started with 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, one equation was identified, which has for the average linear velocity, a correlation coefficient r2 of between 0.88-0.99 and 0.86–0.99 for the angular velocity.

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“…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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Mathematical Model of Dispersed Phase Gas Separation in a Combined Equipment

Cited by 6 publications

References 0 publications

Numerical model of heat and mass transfer and separation of the dispersed phase in high-speed dispersed-annular flows of gas and liquid

Numerical model of heat and mass transfer and separation of the dispersed phase in high-speed dispersed-annular flows of gas and liquid

Extraction of Mathematical Correlations Applied in the Aerodynamic Separation of Solid Particles

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

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