Mathematical Model of Nonstationary Separation Processes Proceeding in the Cascade of Gas Centrifuges in the Process of Separation of Multicomponent Isotope Mixtures

2017 ◽  
Vol 90 (2) ◽  
pp. 258-265 ◽  
Author(s):  
A. A. Orlov ◽  
A. A. Ushakov ◽  
V. P. Sovach
Keyword(s):  
Mathematical Model ◽  
Separation Processes ◽  
Multicomponent Isotope

scholarly journals Optimal Depressants and Collector Dosage in Fluorite Flotation Process Based on DoE Methodology

2019 ◽  
Vol 9 (3) ◽  
pp. 366 ◽  
Author(s):  
J.R. Corpas-Martínez ◽  
A. Pérez ◽  
C. Amor-Castillo ◽  
R. Navarro-Domínguez ◽  
M.A. Martín-Lara ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Oleic Acid ◽  
Potato Starch ◽  
Ionic Species ◽  
Statistical Technique ◽  
Separation Processes ◽  
Flotation Process ◽  
Low Efficiency ◽  
Composition Of Minerals ◽  
Alternative Processes

Alternative processes have been proposed for selective separation of fluorite and gangue minerals (carbonates and silicates) present in fluorspar ores. Calcination and gravity separation processes are methods that have low efficiency and high cost. Flotation is a chemical process that becomes important when high ore grades are required; however, the selectivity is inhibited by the superficial similarity of the chemical composition of minerals. Accordingly, interactions between dissolved ionic species of fluorite, carbonates, and silicates with some reagents under determinate conditions obstruct the flotation process. In order to optimize the flotation process of a Spanish fluorite ore, this research uses a mathematical model. In this study, the variables were the dose of potato starch, quebracho tree, white dextrine, oleic acid, and sodium silicate. On the other hand, the factors studied were the law of carbonates, silica, and fluorite, in addition to the metallurgical recovery of fluorite. The statistical technique of factor analysis that relates the variables and factors allowed to the optimization of the reagent dosage. Maximum metallurgical recovery was achieved without sacrificing the fluorite grade. The mathematical model adjusts satisfactorily to the results with a correlation coefficient of 91.58% for metallurgical recovery and 98.51% for fluorite grade. Optimizing the process 60.45% of metallurgical recovery and 68.99% of fluorite grade are achieve in the roughing step, using a dosage of 1.68 g·kg−1 of potato starch, 0.86 g·kg−1 of quebracho tree, 1.25 g·kg−1 of dextrin, 3 g·kg−1 of oleic acid, and 0.85 g·kg−1 of water glass.

Theoretical and Experimental Study of Hydrocyclone Performance and Equivalent Settling Area

2014 ◽  
Author(s):  
Reza Sabbagh ◽  
Michael G. Lipsett ◽  
Charles R. Koch ◽  
David S. Nobes
Keyword(s):  
Mathematical Model ◽  
Settling Tank ◽  
Performance Model ◽  
Separation Performance ◽  
Separation Processes ◽  
Gravity Settling ◽  
Approaches To Study ◽  
Equivalent Area ◽  
Solid Liquid ◽  
Solid Liquid Separation

Predicting the performance of a solid-liquid separation process can help in comparing different separators for selection and design. This can be applied to hydrocyclone technology which is used widely in industry due to being an inexpensive device that is easy to operate and maintain and which has no moving parts. Environmental concerns and technological issues in separation processes are motivating the design of higher efficiency systems with less capital and operating costs. There is a need therefore for, methods to compare different separation technologies. In spite of extensive research into hydrocyclone performance, a mathematical model that can predict the performance of a hydrocyclone for comparison with other centrifugal separators is rare in the literature. The main objective of this research is to apply theoretical and experimental approaches to study hydrocyclone performance in order to propose an applicable separation performance model that represents the whole hydrocyclone operating range. A mathematical model is developed to explore the performance of the separator and to predict the hydrocyclone’s equivalent area as compared to a continuous gravity settling tank. A performance chart that can be used for selection and design of hydrocyclones is the result of the model.

scholarly journals Development of Software for Calculating of the Vortex Fluidized Bed Granulator

2017 ◽  
Vol 2 (1) ◽  
pp. 1-10
Author(s):  
Artem Artyukhov ◽  
Viktor Obodiak ◽  
Pavlo Boiko
Keyword(s):  
Mathematical Model ◽  
Fluidized Bed ◽  
Residence Time ◽  
Vortex Flow ◽  
Hydrodynamic Conditions ◽  
Kinetic Characteristics ◽  
Separation Processes ◽  
Granulation Process ◽  
Optimization Calculation ◽  
Kinetics Of

The article is devoted to the development of software for calculating the hydrodynamic conditions and kinetic characteristics of granulation process in vortex devices. In the basis software Vortex Granulator© and Classification in vortex flow© original mathematical model for calculating the flow rate of gas and granules classification and separation processes of granules in a vortex granulator, kinetics of granules heating and removing moisture from the granules was put. The structure of software and algorithm of their work is shown. In the article, an algorithm for calculation of the granulation process in the vortex granulator using the developed software is shown. Software designed in JavaFx platform. Vortex Granulator© and Classification in vortex flow© allow to conduct an optimization calculation of vortex granulator according the criteria of minimum required residence time of granules in device workspace.

To the problem of forming the equation system for pressure swing adsorption mathematical model

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Oleg Golubyatnikov ◽  
Evgeny Akulinin ◽  
Stanislav Dvoretsky ◽  
Dmitry Dvoretsky
Keyword(s):  
Mathematical Model ◽  
Pressure Swing Adsorption ◽  
Optimization Problems ◽  
Equation System ◽  
Cycle Duration ◽  
Functional Dependencies ◽  
Separation Processes ◽  
Input Variables ◽  
Model Equations ◽  
Pressure Swing

Abstract The complexity of the pressure swing adsorption (PSA) mathematical model, the need for its multiple calculations to reach the cyclic steady state and a large number of functional dependencies lead to unstable numerical circuits, physically unrealistic oscillations in adsorption profiles, an increase in the calculation time, and the failure of the solver. The paper proposes an approach to optimizing the calculation process, which consists in finding a reasonable balance between the completeness of the PSA mathematical model and the accuracy of the results obtained. The effectiveness of the approach is demonstrated on the example of air oxygen enrichment and hydrogen recovery from synthesis gas. The gas separation processes were simulated for the two-adsorber PSA unit with a granulated 13X adsorbent. The effect of the changes in the model coefficients on its accuracy in the operating range of input variables is investigated. A distinctive feature of this study is the recommendations for choosing a set of the model equations to calculate the PSA processes which are particularly relevant when solving optimization problems with uncertainty. The productivity, cycle duration, the diameter of the adsorbent particles and the flow rate, at which it is advisable to use the isothermal and external diffusion reduced PSA model in the calculations, are established, which will save at least 24.3 and 47.1% of the CPU time with a small loss in accuracy. The proposed approach can be used to form a set of equations for the PSA, rPSA, ultra rPSA, VSA, VPSA models, separation of various gas mixtures on various adsorbents.

scholarly journals A Mathematical Model of Membrane Gas Separation with Energy Transfer by Molecules of Gas Flowing in a Channel to Molecules Penetrating this Channel from the Adjacent Channel

2015 ◽  
Vol 36 (2) ◽  
pp. 151-169 ◽  
Author(s):  
Maciej Szwast ◽  
Zbigniew Szwast
Keyword(s):  
Mathematical Model ◽  
Energy Transfer ◽  
Flow Resistance ◽  
Membrane Gas Separation ◽  
Separation Processes ◽  
Gaseous Mixtures ◽  
Adjacent Channel ◽  
Current Flows ◽  
Physicochemical Data ◽  
Counter Current

Abstract The paper presents the mathematical modelling of selected isothermal separation processes of gaseous mixtures, taking place in plants using membranes, in particular nonporous polymer membranes. The modelling concerns membrane modules consisting of two channels - the feeding and the permeate channels. Different shapes of the channels cross-section were taken into account. Consideration was given to co-current and counter-current flows, for feeding and permeate streams, respectively, flowing together with the inert gas receiving permeate. In the proposed mathematical model it was considered that pressure of gas changes along the length of flow channels was the result of both - the drop of pressure connected with flow resistance, and energy transfer by molecules of gas flowing in a given channel to molecules which penetrate this channel from the adjacent channel. The literature on membrane technology takes into account only the drop of pressure connected with flow resistance. Consideration given to energy transfer by molecules of gas flowing in a given channel to molecules which penetrate this channel from the adjacent channel constitute the essential novelty in the current study. The paper also presents results of calculations obtained by means of a computer program which used equations of the derived model. Physicochemical data concerning separation of the CO2/CH4 mixture with He as the sweep gas and data concerning properties of the membrane made of PDMS were assumed for calculations.

scholarly journals Theoretical researches of threshing and separation processes of bread mass by the threshing-separating device

2020 ◽  
pp. 60-66
Author(s):  
O.M. Hrytsaka
Keyword(s):  
Mathematical Model ◽  
Rational Design ◽  
Theoretical Research ◽  
Design Parameters ◽  
Technological Parameters ◽  
Separation Processes ◽  
Combine Harvester ◽  
Combine Harvesters ◽  
The Mathematical Model ◽  
Grain Losses

Annotation Purpose. Theoretical researches of increase of efficiency of working processes of threshing, separation of grain mass by combine harvesters by improvement and use of a multi-drum design of the threshing-separating device with rational design and technological parameters of work capable to provide necessary agrotechnical requirements. Methods. In theoretical researches the analysis of interaction of the threshing-separating device with grain mass with use of mathematical modeling of processes of threshing of grain, separation of a rough heap and their estimation is carried out. Results. The mathematical model of the mobile multi-drum thresher modernized as a result of change of settings that allowed to increase efficiency of its work is considered; the dependences of quality on the design parameters of the threshing-separating device during the implementation of technological processes of grain harvesting due to the reduction of the total level of injuries and grain losses are obtained. Conclusions. A mathematical model of improvement of the threshing process, separation of grain mass in the threshing gap of the threshing-separating device was developed, which allowed to obtain the dependences of the influence of structural and technological parameters on the level of threshing and separation. It is established that a significant reserve for improving the process of threshing, separation of grain mass is changes in the settings of threshing drums. Keywords: combine harvester, mathematical model, threshing-separating device, theoretical research, grain harvesting, threshing process.

A SEM/TEM examination of a ceramic membrane

1986 ◽  
Vol 44 ◽  
pp. 682-683
Author(s):  
C.E. Voegele-Kliewer ◽  
A.D. McMaster ◽  
G.W. Dirks
Keyword(s):  
Electron Microscopy ◽  
Gas Separation ◽  
Ceramic Membrane ◽  
Hydrogen Iodide ◽  
Separation Processes ◽  
Corning Glass ◽  
Gas Transport Properties ◽  
Porous Microstructure ◽  
Microscopy Techniques ◽  
The Relationship

Materials other than polymers, e.g. ceramic silicates, are currently being investigated for gas separation processes. The permeation characteristics of one such material, Vycor (Corning Glass #1370), have been reported for the separation of hydrogen from hydrogen iodide. This paper will describe the electron microscopy techniques applied to reveal the porous microstructure of a Vycor membrane. The application of these techniques has led to an increased understanding in the relationship between the substructure and the gas transport properties of this material.

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