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By D. K. Panda

The behavior of single drops with gas evolution at the interface is of interest because this is one of the important reactions that occur in oxygen steelmaking vessels, where a large amount of iron-carbon drops are dispersed in an oxidizing slag. The carbon dissolved in these drops, reacts with the slag to form CO, which is evolved as a gaseous phase. A room- temperature model was used to study the nature of this type of reaction including the effect of various factors such as viscosity and the presence of surface active impurities. Experiments were done for reacting drops over a wide size range to observe various regimes of behavior. Large single drops were levitated in a counter current flow to produce a sufficiently long residence time to allow the study of the various stages in the reaction. The emphasis of this work was to obtain photographic evidence of a high quality to describe all possible modes of behavior, and so a lot of effort was given to developing and perfecting experimental techniques.

Jan 1, 1994

By S. Kang, D. G. C. Robertson

Slag cleaning furnaces require extensive wall cooling because they involve the use of a superheated slag bath. This is in direct contrast to smelting furnaces, where the wall is usually (but not always) protected by "banks" of solid charge. In order to understand the heat transfer and flow in slag cleaning furnaces a number of model studies have been carried out using molten wax to simulate the slag. Wax is a good model fluid because, like slag, it has a high Prandtl number. Wax models cannot simulate the behavior close to the electrodes (DC arc or AC submerged), but they can and do give a good simulation of the flow and heat transfer at the wall. An understanding of these phenomena is of great importance for the design of cooling panels in the walls of the furnace. Since superheated molten slag will eventually wear away any refractory bricks over time, the wall cooling must be designed to form a frozen layer of slag, referred to as a "freeze lining". The heat flux density (Q/A) required to do this is given by Q/A = h* ?T, where h is the heat transfer coefficient in the slag phase at the wall, and Li T is the superheat (bulk slag temperature - liquidus temperature). Both Q/A and h vary greatly with position and both are usually a maximum at the slag line. In the experimental work, molten wax baths were heated by block heaters to provide similar energy densities to those encountered in commercial slag cleaning furnaces. This procedure was considered to be valid since most of the electrical energy into a furnace bath is dissipated as heat. Gas stirring was used to simulate the gas evolved at the electrode in real furnaces - the quantity of this gas could be estimated from a knowledge of electrode consumption. The similarity criterion was equal gas flow per unit area of surface, in model and prototype. Heat transfer coefficients were measured in the models as a function of power density, gas stirring, superheat, etc., and could be related to the full-scale operations by the use of dimensional analysis.

Jan 1, 1999

By G. B. Misra

While investigating on the aerodynamic resistance of airways supported with peripheral timber sets, at regular intervals, the following theoretical equations were developed by the author to estimate the resistance coefficient of such airways: [ ] for S < 1, where f is Darcy-Weisbach resistance coefficient of the airway, C is modified drag coefficient of the supporting member, D is equivalent diameter of the bare airway, 8 is ratio of the approach velocity over the sets to the average velocity of the bare airway, A is cross-sectional area of the bare airway, a is projected frontal area of the sets, A., is cross-sectional area of the air stream at the vena contracta inside the set, S is spacing of the sets, f, is resistance coefficient of the bare airway, l is length of aerodynamic influence of sets, p is perimeter of the bare airway, p, is setted portion of the perimeter of the bare airway, pe is unsetted portion of the perimeter of the bare airway, and P shielding factor. The equations were verified experimentally in a model rectangular airway supported with one- (bars), three-, and four-piece sets of square-section timber of three different sizes and were found to hold true. The work has been further extended to one-, three-, and four-piece sets of round timber of 2.6, 3.2, and 3.8 cm diam with the same experimental set up. Tests have been carried out for spacings of 25, 50, 75, 100, 150, and 200 cm over a regime of flow defined by the Reynolds number (with respect to the equivalent diameter of the bare duct) ranging from about 1.5 X 106 to 5 X 106 using the same experimental techniques. The values of f are calculated in the manner indicated in [Ref. 1]. Unlike with square-section timber, the resistance coefficient f of the airway setted with round timber shows a distinct variation with the Reynolds number of flow. This conforms to observations made by Sales and Hinsley.2 In order to have a comparable value of f for all types of sets with all sizes of timber, it was necessary to select the value of f at a fixed Reynolds number of flow. Since f is chiefly a function of the drag coefficient of the sets, the appropriate Reynolds number RE is that with respect to the diameter of timber in the set. Considering the diameters of timber used and the regime of flow over which measurements were made, f was chosen at a value of RE = 20,000 in all cases. The f vs. S curves are maximal in nature and in conformity with theory, the f vs. 1/S curves are straight lines up to a value of S = 1 beyond which they show a distinct flexure. The observed values of 1, the length of aerodynamic influence of sets, agree with the relation 1 = 42 e, developed for square-section timber sets, thus suggesting that the shape of timber has little influence on the length of aerodynamic influence. The value of the modified drag coefficient CD for round timber was calculated in the same way as for square timber in Ref. 1, taking the contraction factor Z = 1.5 for round-edged constrictions. CD has an average value of 0.96 with a standard deviation of 6.08% as compared to the free stream drag coefficient of 1.2 at RE = 20,000 for long cylindrical obstructions The shielding factor [ ] is plotted against S/1 in [Fig. 1]. The curves are more or less independent of the size of timber, but are different for the different types of sets, possibly due to their different degree of symmetry. Values of f calculated by the author&apos;s [Eqs. 1 and 2], using experimental values of CD&apos; and [ ] and taking I = 42 e, are plotted in [Fig. 2] against experimentally measured values of f for different types of sets with different sizes of round timber. The values agree closely with a standard deviation of only 5%, thus establishing the veracity of the theoretical equations developed by the author for round timber as well. A comparison was made between the Xenofontowa4 equations (the only other reasonable relations available for the estimation of the resistance coefficient of supported airways) and the author&apos;s [Eqs. 1 and 2] by comparing in [Fig. 3] the values of the resistance coefficient f computed by the Xenofontowa relations with those experimentally measured by the author. In order to make

Jan 1, 1975

By A. W. Khair

Surface subsidence is a phenomenon mainly associated with longwall mining, although it can also occur if the coal pillar left to protect the surface deteriorates with time and results in the collapse of the room and pillar system. A method has been developed that utilizes physical mine models and laser holographic interferometry. This method is capable of measuring displacements as small as 5 micro- inches by means of generating displacement contours on a surface, even that of granular materials. Analysis of subsidence in room and pillar mining using models of various extraction ratios ad overburden depths along with two different types of overburden model material (sand and gelatin) has been made. The sand represented the extreme brittle conditions of geologic material while the gelatin represented visco-elastic behavior of geologic material. This paper deals with the analysis of data which has been gathered up to date, and mainly associated with the use of sand as an overburden model material. The analysis included the effect of variation of geometric parameters on surface subsidence. Among these parameters are: variation in seam depth and thickness, surface and seam inclination, and extraction ratio.

Jan 1, 1984

The patterns of flow of reaction gases through the flash furnace at the Kalgoorlie Nickel Smelter were simulated in a 1:20 scale model using a flow of water. Particular features of the flow down the reaction shaft, through the settling chamber and into the uptake leading to the waste-heat boiler were examined. Inferences were made concerning the effects of the patterns of flow on the efficiency of the smelting reaction, on the entrainment of dust by the gas stream and on the erosion of the refractory lining of the furnace. In addition, the effects of geometrical modifications to the arrangement of the concentrate burners and to the profile of the settling chamber were explored by making these changes to the model and observing the resulting variations in the patterns of flow.

Jan 1, 1991

"An experimental study has been performed to investigate the dispersed phase holdup induced by a high-strength submerged gas injection in a bottom blown air-stirred one-seventh water model of CLU (Creusot-Loire Uddeholm) reactor using two different tuyere configurations. The air flow rates varied from 0.00599 m3/sec to 0.01312 m3/sec. In these series of experiments, water height and kerosene height were kept constant at 0.23m and 0.02m respectively. The dispersed phase holdup was determined at various gas flow rates, and tuyere orientations by using water and kerosene.The dispersed phase holdup increased with gas injection rate and decreased with vertical distance from the original interface. At constant gas flow rate, as the vertical distance increased in the centerline, off-center configuration of nozzles displayed higher values of the dispersed phase holdup than those of the center configuration. The variation of the dispersed phase holdup with the dimensionless axial distance and the gas injection rate was correlated by using the Modified Froude Number. The experimental values of the dispersed phase holdup were found to be in good agreement with the calculated values obtained from the correlation equations."

Jan 1, 1999

By O. Guyot, A. Broussaud, J. Björkman, P. Söderman, P. O. Samskog

Model-Based Expert Control systems (MBEC) are on-line supervisory dynamic optimization systems which combine the ability of a phenomenological model to generate a large amount of information about the state of the process and predict its evolution, with the flexibility of a rules-based approach to take plant constraints into account and apply a complex control strategy. For its new concentrator started in 1995 in Kiruna (Sweden), LKAB has implemented a progressive grinding flowsheet with closed-circuit autogenous grinding followed by closed-circuit pebble grinding with ore pebbles. The standard for instrumentation in this new plant is very high. The control hardware consists of a Distributed Control System (DCS) through which the operators interact with the plant, supplemented by a site-level Management Information System (MIS). A state-of-the-art MBEC system was imbedded in the MIS by the authors before plant start-up. It consists of several modeling and expertise software modules: a phenomenological process model and a Kalman filter estimate continuously the state of the process, an optimizer calculates an optimum feedrate, while rules-based modules establish production targets and key process set-points. The decision to install the MBEC system as an integral part of the new plant before start-up illustrates the current maturity of the technology, i.e., enough know-how was accumulated through former projects to design and develop the system to a large extent without accessing the plant. The feasibility and the power of dynamic optimization systems were previously demonstrated in Kiruna pre-existing concentrator by the authors. First, a MBEC system was installed on the three existing pebble mill circuits, providing both an increase in quality (stabilised size distribution) and a 10% increase in capacity. An on-line expert control system with limited modeling capabilities was also installed in the existing flotation plant, with the aim of stabilizing phosphorous content in the concentrate and optimizing collector additions. Both objectives have been achieved.

Jan 1, 1995

The Boliden Aitik concentrator in Sweden processes 2,000 tph of low grade copper ore. The plant consists of five grinding lines feeding four bulk flotation banks with a scavenger concentrate regrind mill, and a column cleaner circuit with a regrind mill. The authors installed a model-based expert, optimizing control system to maximize copper recovery in the bulk flotation circuit while maintaining an appropriate copper grade in the cleaner feed. The optimizing control system uses on-line assays and calculates and implements set points for cell pulp levels, air rates and reagent addition rates. It combines the power of a dynamic population balance model which estimates mineral liberation in each stream, an optimizer which computes appropriate set points and a rule-based module which implements the strategy. The benefits have been evaluated over three months. The model-based expert, optimizing control system generates a measurable increase in copper recovery, around 0.5 per cent and an optimized bulk concentrate grade. The need to maintain the optimizing control system and other practical aspects are discussed.

Jan 1, 1998

By André Desbiens, Jocelyn Bouchard, René del Villar

"The metallurgical performance of the column flotation process is determined by the concentrate grade and recovery. Although the former can be continuously measured using an on-stream analyzer, the latter must be estimated by a material balance calculation based on seldom verified steady-state assumptions. Consequently, the automatic control and optimization of flotation columns should be performed using secondary variables having a strong influence on the metallurgical performance, such as froth depth, gas hold-up or bubble surface area flux and bias. The aim of this paper is to present a model-based automatic control strategy using froth depth and bias measurements obtained from virtual sensors developed at Laval University. Preliminary pilot plant results on two-phase (water– air) and three-phase system (water – minerals – air) will be presented and eventual industrial implementation of such a strategy as well as the possibility of achieving effective real-time optimization from bias and froth depth measurements will also be discussed.INTRODUCTIONFlotation columns have been widely studied and used in mineral processing for about twenty years. Although a great deal of work has been accomplished to understand the influence of different variables such as froth depth (H), bubble surface area flux (Sb) and bias (Jb) on the metallurgical performance, the measurement of some of these variables is still difficult to be performed – except at the laboratory level – because in most cases, no commercial device yet exists.As a result of this, it is almost impossible to achieve neither efficient control nor optimization of the process at the industrial level, even in open-loop operation. This paper aims at presenting a simple control strategy of froth depth and bias. Description of the sensors used to achieved measurements, preliminary pilot plant results for froth depth control, eventual industrial applications and possibilities for process optimization are also treated."

Jan 1, 2003

By Sushanta Majumder

The physico-chemical characteristics of raw materials used for the production of iron ore pellets have a strong influence on the productivity of pelletization operations and on the quality of pellets. Since iron ores from different sources are used for making iron ore pellets and since the quality of the ores varies with time, there is a need to optimize and control pellet plant operations on a regular basis to achieve optimum productivity while maintaining pellet quality within the desirable specifications. In order to achieve this objective, a model-based on-line optimization system was implemented on two industrial scale induration furnaces. The optimization system consists of a rigorous mathematical model of the induration process, a model for the permeability of the bed of pellets, a statistical model for the quality of iron ore pellets and an optimization module based on sequential quadratic programming. The rigorous model is tested on-line using the wind-box temperature available real-time. The process was optimized to enhance induration furnace productivity for the given constraints on pellet quality parameters such as the cold compressive strength (CCS) and Tumble Index (TI), and other equipment design parameters. Process variables such as induration machine speed, cold air flow rate and hood temperature profile were used as the optimization variables. The on-line optimization system was successfully implemented in two industrial induration furnaces and lead to enhanced productivity. Details of the on-line optimization system and results of process optimization will be presented.

Sep 1, 2012

By Lucas Breder Teixeira

Esse trabalho discute a modelagem termo-mecânica fisicamente não linear de materiais refratários considerando os efeitos de danificação utilizando o Método dos Elementos Finitos. Inicialmente é feita uma descrição geral dos materiais refratários com foco em suas características termo-mecânicas, destacando principalmente suas propriedades elásticas e comportamento de amolecimento, e demonstrando sua considerável dependência da temperatura. Algumas considerações são feitas com relação à evolução dos modelos de simulação numérica aplicados a refratários, iniciando-se com os modelos lineares elásticos até o uso de modelos constitutivos complexos. O modelo de fissuração distribuída utilizado para calcular a perda de rigidez elástica é então apresentado, juntamente com a fundamentação matemática pertinente e sua relação com os parâmetros físicos do material. Para ilustrar a aplicabilidade do modelo alguns exemplos são apresentados, discutindo-se suas principais capacidades com relação ao projeto de estruturas refratárias.

Oct 30, 2017

By Elisa Araujo Santos Darsie

A busca na melhoria da qualidade dos aços, principalmente no caso de aços limpos, fez com que o distribuidor de lingotamento continuo também seja empregado para a remoção das inclusões responsáveis por prejudicar as propriedades mecânicas dos aços. Uma melhor eficiência desta função do distribuidor pode ser atingida com o conhecimento das características do escoamento do banho metálico de modo que se possam propor modificações na configuração do distribuidor. Esses fenômenos de escoamento e remoção de inclusões podem ser simulados mediante a utilização da modelagem física. O objetivo deste trabalho é avaliar quatro configurações internas de distribuidor por meio da qualificação do escoamento via ensaio de linhas de fluxo e quantificação de inclusões passantes pelo veio com o ensaio de remoção de inclusões. As variáveis de controle utilizadas neste estudo são: velocidade de lingotamento, presença de barreiras e presença de tubo longo. Os resultados apresentados para o distribuidor em questão mostram que para os casos com o tubo longo, o uso da barreira torna o escoamento predominantemente ascendente eliminando o curto-circuito e favorável a remoção de inclusões passando de 29,76 para 24,29% de inclusões passantes pelo veio. Enquanto que para os casos sem tubo longo, o uso da barreira proposta diminuiu o contato do aço com a escória sobrenadante, aumentou o curto-circuito e aumentou também o percentual de inclusões passantes pelo veio de 2,56 para 3,01%.

Aug 8, 2018

By Felipe das Dôres Machado

No processo de fabricação de aço, o distribuidor possui grande importância na questão limpeza inclusionária, principalmente, quando se trata da produção de aços limpos (clean steel). As inclusões podem afetar negativamente as propriedades mecânicas e metalúrgicas do aço. Estudos realizados em modelos físicos e/ou matemáticos vêm sendo aplicados com intuito de propor medidas que melhorem a capacidade do distribuidor na remoção de inclusões presentes no aço. Este trabalho tem como objetivo principal qualificar o escoamento de um distribuidor e quantificar a remoção de inclusões do mesmo. Um modelo físico de um distribuidor de lingotamento contínuo de tarugos construído em acrílico e que respeita a similaridade de Froude e Reynolds é utilizado para os ensaios. A quantificação das inclusões é realizada por meio de um ensaio que envolve um sistema de injeção de partículas de polietileno na entrada no distribuidor e outro sistema de coleta dessas partículas na saída do distribuidor no qual as amostras coletadas, posteriormente, são secadas e pesadas. Com os resultados obtidos pretende-se compreender o efeito dos parâmetros propostos sobre a remoção de inclusões e permitir a utilização de uma ferramenta capaz de avaliar a qualidade de aços no que se refere à passagem de inclusões na saída do distribuidor.

Jul 30, 2018

By João Lucas Lautenschlager Cortez Alves

Foi implementado um modelo matemático transiente e tridimensional para prever os campos de temperatura e composição presentes no sólido e poça de fusão durante um processo de soldagem a arco. O modelo foi desenvolvido com base nas equações de conservação macroscópicas de calor, massa e espécies químicas, que foram solucionadas pelo método dos volumes finitos. Os resultados do modelo mostraram boa aderência com soluções analíticas. Foram apresentados os efeitos de mudança na velocidade e potência de soldagem na distribuição de temperatura obtida e no formato da poça de fusão para soldagem em uma chapa de liga Al-6,5%Cu.

Oct 30, 2017

By Alexandre Bellegard Farina

O sistema MgO-NiO é um dos importantes sistemas para o entendimento das reações metal-escória na elaboração das ligas de à base níquel. As ligas à base de níquel usualmente apresentam adições de magnésio com o intuito de melhoria da plasticidade destas o que permite o seu processamento através de processos de conformação mecânica. Neste trabalho foi realizada a modelagem termodinâmica deste sistema utilizando o modelo de células de Kapoor-Frohberg-Gaye e o módulo PARROT® do pacote Thermo-Calc® com objetivo de complementar o banco de dados SLAG®. Como resultado foi obtido um conjunto de parâmetros termodinâmicos que descrevem as fases deste sistema.

Aug 17, 2017

By Benito Barbabela e Silva

O pelotamento é a mais complexa etapa de aglomeração de finos de minério de ferro. Sua resposta é naturalmente oscilante, sendo bastante influenciada pelas características físicas obtidas nos processos de beneficiamento mineral que a precedem e tem papel crucial para a etapa de tratamento térmico de sinterização à jusante. O presente trabalho aborda o processo de classificação de pelotas verdes, sólidos singulares de aspecto deformável e pegajoso, em peneiras de rolos por modelamento por aplicação de Método dos Elementos Discretos. Esta técnica mostra-se como uma importante ferramenta pois supera as limitações impostas na modelagem física (quantificação e identificação de fluxos por ausência de instrumentação em escala industrial, amostragem sem representatividade) ao reproduzir de forma verossímil as repostas do sistema para importantes variáveis de controle: comprimento de gap, umidade, dispersão de tamanhos e resistência das pelotas.

Oct 30, 2017

By Johne Jesus Mol Peixoto, João Victor Gomes Guimarães Ananias, Itavahn Alves da Silva, Thiago Araújo Santos de Oliveira, Weslei Viana Gabriel, Carlos Antônio da Silva, Salvatore Giuliano PeixotoTropia

O arraste de escória para o distribuidor, durante a drenagem de panelas de aço, tem grande impacto no rendimento metálico, limpidez e produtividade no processo de lingotamento contínuo. Modelamento físico e matemático foram utilizados para o estudo da formação do escoamento tipo vórtice e funil no esgotamento de panelas de aço. Em um modelo em escala 1:6,5 foi avaliada a influência da vazão de drenagem, altura inicial de líquido, temperatura do banho e estratificação da temperatura sobre a altura crítica (Hcr) de formação de vórtice. Para todas as condições experimentais, o valor de Hcr se mostrou crescente com o aumento da vazão, respeitando uma relação linear. Através da técnica de Particle Image Velocimetry – PIV observou-se o desenvolvimento do campo de velocidades sub-superficiais da água durante a drenagem em modelo de acrílico em escala 1:6,5. Os resultados das simulações fluidodinâmicas obtiveram bom acordo com os experimentos físicos, e foram capazes de representar a influência da vazão e da temperatura sobre o valor de Hcr.

Oct 1, 2019

By Raissa Santos Salgado

Atualmente, a exigência do mercado pela produção de aços de alta qualidade aliada a redução de custos, impulsiona maiores investimentos em novas tecnologias e a busca pelo melhor conhecimento dos processos que ocorrem na usina siderúrgica. O desgaseificador RH tem-se revelado um equipamento fundamental para produção de aços ultra low carbon, tipo cada vez mais solicitado pelos maiores consumidores de aço. Diante disso, este trabalho visa a elaboração de um modelamento matemático das curvas de descarburação e desidrogenação no RH thyssenkruppCSA. A geração dessas curvas possibilitou o estudo do comportamento do teor de carbono e hidrogênio durante o tratamento das corridas no reator. Os resultados demonstram que o teor de carbono médio obtido não está dentro do esperado, conforme previsto pelo comissionamento. No entanto, a desidrogenação pode ser considerada como satisfatória.

Oct 30, 2017

By Izabela Diniz Duarte

O controle da temperatura do aço líquido desde o refino secundário até o lingotamento é condição essencial para alcançar alto nível de qualidade do produto final e economia de energia, o que permite ressaltar a importância de se determinar as perdas térmicas na panela. Entre outros fatores este trabalho buscou identificar a importância relativa das perdas térmicas para o revestimento refratário e através da escória. A temperatura, espessura da camada de escória, temperatura do revestimento refratário, propriedades físicas e características de convecção foram os fatores considerados. Cálculos numéricos que quantificam essas perdas.

Jul 30, 2018

By Lucas Breder Teixeira

Vasos metalúrgicos podem ser revestidos com linhas de tijolos refratários, com ou sem argamassa. Devido ao grande número de interfaces entre os tijolos, o sub-sistema tijolo/junta impõe dificuldades computacionais ao projeto da montagem. Buscando comparar a influência do projeto refratário nas tensões presentes na estrutura, um revestimento com juntas secas foi modelado utilizando um material homogêneo equivalente. As propriedades termo-mecânicas deste material equivalente foram determinadas usando o método de Homogeneização Periódica e dependem tanto da temperatura quanto do estado da junta (aberta ou fechada, nas duas direções). Este modelo foi usado para simular uma Panela de Aço através do Método dos Elementos Finitos (MEF) com o intuito de demonstrar a influência dos seguintes parâmetros: presença ou ausência de juntas; espessura da junta e projeto refratário. O trabalho pretende auxiliar o desenvolvimento de projetos refratários e fornecer melhores estimativas da aplicabilidade de uma dada configuração.

Oct 30, 2017