### Mathematical modeling of separation characteristics of a

Oct 19, 2007· An improved mathematical model to simulate the particle and flow behavior in a coal-washing spiral has been developed. The modeling framework addresses three main components of the spiral system: (i) geometry of the spiral and its trough, (ii) fluid motion along the curvilinear path of the spiral and (iii) principal forces acting on a particle incorporating “Bagnold effect”.

### Mathematical modeling of separation characteristics of a

Mathematical modeling of separation characteristics of a coal-washing spiral S.K. Dasa,⁎, K.M. Godiwallaa, Lopamudra Pandaa, K.K. Bhattacharyab, Ratnakar Singhb, S.P. Mehrotrac a Mathematical Modeling & Simulation Division, National Metallurgical Laboratory, Council of Scientific & Industrial Research, Jamshedpur 831007, India b Mineral Processing Division, National Metallurgical Laboratory

### Mathematical modeling of separation characteristics of a

Download Citation Mathematical modeling of separation characteristics of a coal-washing spiral An improved mathematical model to simulate the particle and flow behavior in a coal-washing

### Mathematical modeling of separation behaviour of a spiral

used to analyze the separation characteristics of a typical high ash content coal (Patherdih,Jharkhand) . 2.MATHEMATICAL MODEL The mathematical model comprises of the sub-models addressing the aforesaid components. These are seamlessly integrated to characterize the

### Figure 2.22 from The development of dynamic models for a

Figure 2.22: DMC with circulating medium circuit (Adapted from England et al. (2002:166)). "The development of dynamic models for a dense medium separation circuit in coal beneficiation"

### Mathematical modeling of thermal decomposition of coal

Mathematical models predicting coal the significant influences of swirl on characteristics of coal gasification such as flow distributions, gas temperature and product composition including

### A Study on Magnetic Separation Washability Mathematical

To further understand the magnetic separation washability of pulverized coal, washability curve and mathematical model were done based on internal relations of curves. The model included non-magnetic substance accumulated curve, ash characteristic curve and magnetic susceptibility curve mathematical model. The theoretical separation indicators and the non-magnetic product yield among the

### (PDF) Studies on Combustion Characteristics of Two

Studies on Combustion Characteristics of Two Interacting Coal Particles at Different Separation Distance. A two-dimensional mathematical model was

### Mathematical model for coal conversion in supercritical

Jun 14, 2019· In this study, an exploratory mathematical model for the coal conversion process in a lab-scale ISWR originally proposed and built in SKLMF would be firstly established incorporating particle-fluid flow dynamics, multispecies transport and thermal coupling between endothermic gasification and exothermic oxidation reaction.

### Mathematical Modeling of the Energy Consumption and

kinetics models. A series of mathematical models were developed for the TGR-OBF process, including: a one-dimensional model for heat transfer and reactions in the stack and the bosh zone of the furnace, an equilibrium model for combustion at the main tuyere level, a mass and energy balance model for the separation and the preheating of the top gas.

### Mathematical Model of Lump Coal Falling in the Freeboard

A one-dimensional mathematical model was developed for devolatilization and heat transfer of lump coal falling in the freeboard zone of the COREX melter gasifier. The distributed activation energy model (DAEM) was used to depict the coal devolatilization. The heat transfer and temperature variation of lump coal were modeled by a transient energy conservation equation. The coupled comprehensive

### Energies Free Full-Text Modelling of Hard Coal

The dry separation methods for coal beneficiation have been regaining attention in the past decades. A number of improved or newly designed devices have been developed—one of them is a negative pressure pneumatic separator (NPPS). The said method of separation is based on the differences in the physical properties between coal and gangue minerals, such as the grain density, size, and shape.

### Mathematical Modeling of a Single-Stage, Downward-Firing

Gasifiers are the centerpieces of coal-fired integrated gasification combined cycle (IGCC) plants. Mathematical models of gasifiers have been developed in recent literature to describe the physical and chemical processes taking place inside the reactor vessels. These models range from simple one-dimensional (1D) steady-state equilibrium models to higher-order, sophisticated, dynamic 2D and 3D

### Development of a Mathematical Model for Prediction of

Sep 15, 2010· Hence, the present study involves development of a mathematical model, which would identify the enablers for optimizing the operating conditions and also to predict the actual yield based on the variations in proportion and characteristics of raw coal used. The model calculates theoretical yield and predicted yield of composite clean coal.

### MODELING OF LIQUID SEPARATORS WORK IN GAS AND GAS

Keywords: Gas, gas condensate, low-temperature separation, liquid separator, mathematical model, prediction. 1. Introduction In today's world there is a great demand for energy, including environmentally friendly forms of energy and fuel. Natural gas and gas condensate produced in almost the entire

### Mineral liberation analysis on coal components separated

Abstract To study the characteristics of different comminution methods during the separation of coal components, mineral liberation analysis (MLA) was performed on typical coal variants produced in Western China. In this work, the granularity, free surface, phase specific surface area, and mineral phase interfaces of coal and its primary mineral constituents under the actions of rod milling

### Petroleum and Coal

Development of mathematical model of reactor process in HYSYS is complicated by the need to define values of chemical reactions rate constants, which is only possible to determine experimentally. Therefore, mathematical model of benzene with propylene alkylation reactor

### A Model of Dense Medium Cyclone Performance: Coal

Feb 27, 2007· A mathematical model of the dense medium cyclone process has been developed by researchers at the JKMRC over a number of years. It has utilised empirical relationships between key performance criteria (such as cut point and Ep for the various size fractions) and cyclone geometry and operating parameters. This model is based on an extensive array of data collected from a large

### Mathematical Modeling of the Energy Consumption and

kinetics models. A series of mathematical models were developed for the TGR-OBF process, including: a one-dimensional model for heat transfer and reactions in the stack and the bosh zone of the furnace, an equilibrium model for combustion at the main tuyere level, a mass and energy balance model for the separation and the preheating of the top gas.

### Behavior of a particle-laden flow in a spiral channel

Apr 28, 2014· Spiral gravity separators are devices used in mineral processing to separate particles based on their specific gravity or size. The spiral geometry allows for the simultaneous application of gravitational and centripetal forces on the particles, which leads to segregation of particles. However, this segregation mechanism is not fundamentally understood, and the spiral separator literature does

### Mathematical modeling of heat and mass transfer in the

A.S. Askarova et al.: Mathematical modeling of heat and mass transfer in the presence of physical-chemical processes time and finances. At the same time, without additional inputs, it is possible to obtain the full set of characteristics of a convective heat and mass transfer process in reactive media, intervene

### International Journal of Oil, Gas and Coal Technology

Two mathematical models are developed to study the effect of the circulation of feed and permeate inside the membrane module. The circulation modes explored are the co-current and the countercurrent flow pattern. The mathematical model developed in the case of countercurrent flow pattern is subject to the split boundary value problem.

### Necessary and Sufficient Conditions for the Separability

In the present manuscript, we formulate and prove rigorously, necessary and sufficient conditions for all kinds of separation of variables that a solution of the irrotational Stokes equation may exhibit, in any orthogonal axisymmetric system, namely: simple separation and R-separation. These conditions may serve as a road map for obtaining the corresponding solution space of the irrotational

### The Technological and Design Solutions for Energy Vortex

scientists have failed to obtain a sufficiently reliable mathematical model of the gas separation processes despite the fact that a large number of highly qualified specialists are engaged in the study of the vortex effect. The first studies conducted by V.M. Brodianskii and A.V. Martynov [9], [10, in the early 60's demonstrated the efficiency

### Mathematical Modeling of a Single-Stage, Downward-Firing

Gasifiers are the centerpieces of coal-fired integrated gasification combined cycle (IGCC) plants. Mathematical models of gasifiers have been developed in recent literature to describe the physical and chemical processes taking place inside the reactor vessels. These models range from simple one-dimensional (1D) steady-state equilibrium models to higher-order, sophisticated, dynamic 2D and 3D

### Development of a Mathematical Model for Prediction of

Sep 15, 2010· Hence, the present study involves development of a mathematical model, which would identify the enablers for optimizing the operating conditions and also to predict the actual yield based on the variations in proportion and characteristics of raw coal used. The model calculates theoretical yield and predicted yield of composite clean coal.

### Mathematical Modeling of Coal Gasification in a Fluidized

A three-dimensional computational model was developed to describe the coal-gasification processes inside fluidized-bed reactors. The commercial multi-purpose CFD code FLUENT 6.3 was employed, taking into account drying, volatilization, combustion and gasification processes.

### Petroleum and Coal

Development of mathematical model of reactor process in HYSYS is complicated by the need to define values of chemical reactions rate constants, which is only possible to determine experimentally. Therefore, mathematical model of benzene with propylene alkylation reactor

### Studies on Combustion Characteristics of Two Interacting

A two-dimensional mathematical model was developed based on the wall surface reaction theory in the commercial software FLUENT. The numerical results show that the particle interaction has different effects on the coal ignition time and combustion characteristics

### Mathematical modeling for intelligent prediction of gas

Comparing with the mathematical models, it can be concluded that the law of year and the number of gas accidents in coal mines accord with the results of the fourth-degree polynomial fitting, indicating that the number of gas accidents shows a quantitative law of fitting, the intelligent prediction for the number of gas accident is realized.

### Necessary and Sufficient Conditions for the Separability

In the present manuscript, we formulate and prove rigorously, necessary and sufficient conditions for all kinds of separation of variables that a solution of the irrotational Stokes equation may exhibit, in any orthogonal axisymmetric system, namely: simple separation and R-separation. These conditions may serve as a road map for obtaining the corresponding solution space of the irrotational

### The Technological and Design Solutions for Energy Vortex

scientists have failed to obtain a sufficiently reliable mathematical model of the gas separation processes despite the fact that a large number of highly qualified specialists are engaged in the study of the vortex effect. The first studies conducted by V.M. Brodianskii and A.V. Martynov [9], [10, in the early 60's demonstrated the efficiency

### Behavior of a particle-laden flow in a spiral channel

Apr 28, 2014· Spiral gravity separators are devices used in mineral processing to separate particles based on their specific gravity or size. The spiral geometry allows for the simultaneous application of gravitational and centripetal forces on the particles, which leads to segregation of particles. However, this segregation mechanism is not fundamentally understood, and the spiral separator literature does

### Mathematical modeling of heat and mass transfer in the

A.S. Askarova et al.: Mathematical modeling of heat and mass transfer in the presence of physical-chemical processes time and finances. At the same time, without additional inputs, it is possible to obtain the full set of characteristics of a convective heat and mass transfer process in reactive media, intervene

### International Journal of Oil, Gas and Coal Technology

Two mathematical models are developed to study the effect of the circulation of feed and permeate inside the membrane module. The circulation modes explored are the co-current and the countercurrent flow pattern. The mathematical model developed in the case of countercurrent flow pattern is subject to the split boundary value problem.

### Frontiers The (Mathematical) Modeling Process in

This form is the mathematical model. A mathematical model is the formalized description of the system derived from a previous conceptual model. Mathematical models may be very diverse in nature. Dynamical models consider changes in the elements with

### Model development and analysis of coal permeability based

In this paper, the complex coal structure was simplified in an equivalent way and the equivalent characteristics of the dual-porosity coal structure were studied. Based on the assumption of cube models, the coal permeability evolution model based on the equivalent characteristics of dual-porosity structure (ECDP model) was built and validated.

### Modeling Membrane Gas and Vapor Separation in the Aspen

Apr 18, 2019· The paper presents the results of the development of a unit for calculating mass transport in a membrane gas separation apparatus in the Aspen Plus environment. The created user model has been verified by comparing the results of the calculation of separation characteristics with available experimental data for two cases. In the first case, the calculation results were compared with

### Model development and analysis of coal permeability based

In this paper, the complex coal structure was simplified in an equivalent way and the equivalent characteristics of the dual-porosity coal structure were studied. Based on the assumption of cube models, the coal permeability evolution model based on the equivalent characteristics of dual-porosity structure (ECDP model) was built and validated.

### Mathematical Modeling of Coal Gasification in a Fluidized

A three-dimensional computational model was developed to describe the coal-gasification processes inside fluidized-bed reactors. The commercial multi-purpose CFD code FLUENT 6.3 was employed, taking into account drying, volatilization, combustion and gasification processes.

### Studies on Combustion Characteristics of Two Interacting

A two-dimensional mathematical model was developed based on the wall surface reaction theory in the commercial software FLUENT. The numerical results show that the particle interaction has different effects on the coal ignition time and combustion characteristics

### Mathematical modeling for intelligent prediction of gas

Comparing with the mathematical models, it can be concluded that the law of year and the number of gas accidents in coal mines accord with the results of the fourth-degree polynomial fitting, indicating that the number of gas accidents shows a quantitative law of fitting, the intelligent prediction for the number of gas accident is realized.

### Modeling Membrane Gas and Vapor Separation in the Aspen

Apr 18, 2019· The paper presents the results of the development of a unit for calculating mass transport in a membrane gas separation apparatus in the Aspen Plus environment. The created user model has been verified by comparing the results of the calculation of separation characteristics with available experimental data for two cases. In the first case, the calculation results were compared with

### Numerical investigation on rules of fracture propagation

To investigate rules of fracture propagation during hydraulic fracturing in heterogeneous coal-rock mass, a new mathematical model for hydraulic fracturing with seepage-damage coupling and its numerical algorithm are proposed. The rules of coal-rock mass heterogeneity, confining pressure, beforehand hydraulic slotting, and non-symmetric pressure gradient on fracture propagation are investigated.

### Dynamic modeling and control of the air separation unit in

The technology of Integrated Gasification Combined Cycle (IGCC) power plant is one of the most promising energy producing and coal utilization methods. It offers the opportunity to use fossil energy sources as well as satisfy the strict environmental constraints. A typical IGCC power plant mainly consists of an air separation unit, the gasification system, the gas clean-up process, and the

### era.library.ualberta.ca

ii ABSTRACT The dry coal beneficiation method, Air Dense Medium Fluidized Bed (ADMFB) system, can offer an efficient solution for removal of ash forming minerals from run of mine

### Mathematical modeling of heat and mass transfer in the

A.S. Askarova et al.: Mathematical modeling of heat and mass transfer in the presence of physical-chemical processes time and finances. At the same time, without additional inputs, it is possible to obtain the full set of characteristics of a convective heat and mass transfer process in reactive media, intervene

### Frontiers The (Mathematical) Modeling Process in

This form is the mathematical model. A mathematical model is the formalized description of the system derived from a previous conceptual model. Mathematical models may be very diverse in nature. Dynamical models consider changes in the elements with

### MATHEMATICAL MODELING AND PARTIAL DIFFERENTIAL

Thus equations are the ﬂnal step of mathematical modeling and shouldn’t be separated from the original problem. The fact that we are practicing solving given equations is because we have to learn basic techniques. However, in real life the equation is seldom given it is our task to build an equation starting from physical,

### An Integrated Model of Coal/Coke Combustion in a Blast

A three‐dimensional integrated mathematical model of the combustion of pulverized coal and coke is developed. The model is applied to the region of lance‐blowpipe‐tuyere‐raceway‐coke bed to simulate the operation of pulverized coal injection in an ironmaking blast furnace. The model integrates two parts: pulverized coal combustion model in the blowpipe‐tuyere‐raceway‐coke bed

### Increase of efficiency isopropylbenzene manufacturing with

Increase of efficiency isopropylbenzene manufacturing with use of integrated mathematical models. Petroleum and Coal. 2016 Янв. 1;58(2):155-160 of isopropylbenzene concentration in commercial product to 99.9% by weight can be achieved by implementing of sequence separation in distillation columns due to redistribution of ethylbenzene and

### Prediction of Separation Performance of Dry High Intensity

The validation of the model is carried by capturing the particle trajectory using an image analyzer. It is found that Cakir’s mathematical model produces reliable results and a new model is proposed to increase the reliability of separation angle prediction by including the particle shape factor.

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