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Investigation Of Air Bubble Motion In Counter-current Water Flow ConditionsBezdegumeli, Ugur 01 January 2003 (has links) (PDF)
In this thesis study, air bubble motion in counter-current water flow conditions in a
vertical pipe is investigated experimentally. For this purpose, a test set-up was designed and constructed. Images of motions of single bubbles, having different diameters in the range of 3.0-4.8 mm, generated by specially designed bubble injectors were recorded by using a monochrome camera, an image capture card and a PC. Recorded video images were processed to obtain the necessary data for the The purpose of the study is to determine
variation as a function of the equivalent bubble diameter, water flow velocity and
related dimensionless numbers / Reynolds, Re / Eö / tvö / s, Eo / and Weber, We, and is to investigate the bubble shapes and bubble travel paths.
Bubble behaviour was investigated at six different counter-current water flow
velocities (6.5 cm/s, 7.9 cm/s, 10.5 cm/s, 12.9 cm/s, 15.4 cm/s, and 18.2 cm/s) in addition to stagnant water condition which is taken as the reference case. The direction of the bubble motion is upwards and the direction of the water flow is downwards (i.e. counter-current). Distilled water was used in the experiments.
The results of this thesis study for the stagnant water condition have shown good consistency with the previous theoretical and experimental studies found in the literature. For the studied range of bubble diameters, it is observed that the bubble average relative velocity for a certain bubble diameter is less under counter-current water flow conditions than that under stagnant water condition and the drag
coefficient values for a certain bubble diameter is higher under counter-current
water flow conditions than those under stagnant water condition.
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Full-scale two-phase flow measurements using optical probes on Athena II research vesselJohansen, James Paul 01 May 2010 (has links)
Measurements of gas volume fraction, bubble velocity, chord length and bubble size distributions were performed in the research vessel Athena II operating in Saint Andrew Bay in the gulf coast near Panama City, FL. Double tipped sapphire optical local phase-detection probes were used to acquire indicator functions downstream of the breaking bow wave, behind the masker and at the stern. These indicator functions were also taken at different depths, distances from the hull, operating speeds and headings respect to the waves. The data processing includes the computation of velocity of individual bubbles and chord lengths, resulting in chord length distributions. These chord length distributions are used to obtain bubble size distributions using a novel procedure described in detail. Uncertainty analysis is performed for gas volume fraction, average bubble velocity and chord length. The results indicate that air entrainment increases with ship speed and sailing against the waves at all positions. The bow wave exhibits unsteady breaking that creates bubble clouds, which were characterized and identified by signal processing. At the stern a very strong dependence of bubble size with depth was found, with evidence that bubbles smaller than 500 micrometers are transported through the bottom of the hull and reach the transom. The roller present at the transom, the associated strong unsteadiness and bubble entrainment are well captured, as indicated by the stern results, showing the frothy nature of the upper layer.
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Gestion optimale du gaz électrogénéré dans un réacteur d'électroréduction de minerai de fer / Optimal anode design of electrogenerated gas of electrochemical reactor for iron productionAbdelouahed, Lokmane 23 October 2013 (has links)
Le gaz électrogénéré dans les réacteurs électrochimiques est un phénomène à la fois électrochimique et hydrodynamique. La chute ohmique dans la solution électrolyte est l'un des paramètres importants à évaluer pour l'optimisation des réacteurs électrochimiques. Elle est due à la résistance de la solution, donc, à sa conductivité électrique et la distance entre les deux électrodes. Pour réduire la consommation énergétique de la cellule de réduction électrolytique de particules d'hématite en fer métallique, on a étudié la conception des anodes, sièges de la production des bulles d'oxygène, dans deux cellules équivalentes d'électrolyse d'eau dans un milieu alcalin. Les résultats ont montré que seulement 25% de l'anode est réellement active et que le taux de rétention augmente le long de l'anode et les bulles atteignent leur vitesse terminale dès 50% de la hauteur de l'anode. Ceci nous a permis de formuler des recommandations qui permettent d'avoir les meilleures conditions de désengagement des bulles électrogénérées, pour une consommation énergétique plus faible du procédé électrochimique / Electrogenerated gas in electrochemical reactors is considered as an electrochemical and hydrodynamic phenomenon. The ohmic drop in the electrolyte solution is one of important parameter to evaluate for the optimization design of electrochemical reactors. It is due to the resistance of the solution, therefore, its electrical conductivity and of the distance between the two electrodes. To reduce the energy consumption of the electrolytic reduction cell of hematite particles to metallic iron, we studied the design of anode, the location of oxygen bubbles production, in two equivalent cells for water electrolysis in an alkali media. The results showed that the gas hold up increases along the anode and only 25% of the initial anode height is actually active. Moreover the bubbles reach their terminal velocity after 50% of the initial anode height. This allowed us to formulate recommendations that allow the best conditions of bubbles electrogenerated disengagement and low energy consumption
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Estudo de parâmetros envolvidos na transferência de oxigênio em meio hídrico aerado por bolhas / Study of parameters involved in oxygen transfer in hydric medium aerated by bubblesVuitik, Guilherme Araujo 07 June 2013 (has links)
Embora seja uma técnica tradicional, empregada largamente em processos industriais, a operação unitária de aeração pode ser otimizada ao se utilizar modelos matemáticos que descrevam seu comportamento hidrodinâmico. Diversas equações se prestam a esse fim, no entanto, avanços tecnológicos, tanto no campo instrumental como computacional, permitiram a obtenção de equações mais realísticas e abrangentes. Neste trabalho foram ajustadas e avaliadas equações para descrever três importantes parâmetros envolvidos na transferência de oxigênio em meio hídrico: coeficiente volumétrico de transferência de massa, fração de vazios e velocidade ascensional de bolhas. Para tanto, ademais da utilização de conceitos teóricos amplamente difundidos no meio acadêmico, empregou-se um conjunto de dados já existente. Essa combinação permitiu a avaliação e aproximação das equações teóricas à realidade experimental através de coeficientes de ajuste empíricos. Foram obtidos os seguintes resultados: a) revisão bibliográfica e sugestão da correlação que melhor descreve o coeficiente volumétrico de transferência de massa; b) correlação que descreve a fração de vazios, a partir da analise da concentração de bolhas segundo distribuições gaussianas; c) correlação que descreve a velocidade ascensional de bolhas em plumas. A complexidade de cada parâmetro obtido deixou clara a importância da análise isolada, precedendo a convolução dos mesmos em um único modelo, pois embora as resposta e recomendações apresentadas não forneçam conclusões definitivas sobre todos os aspectos envolvidos na transferência de oxigênio em meio hídrico, suas considerações pontuais contribuem sobremaneira ao domínio do fenômeno global, beneficiando modelagens matemáticas futuras. / Although it is a traditional technique, widely employed in industrial processes, the unit operation of aeration can be optimized when resorting to mathematical models which describe their hydrodynamic behavior. A range of equations lends itself to this purpose, however, technological advances both in the instrumental as computational field, allowed the achievement of equations more realistic and comprehensives. In this study were adjusted and evaluated equations to describe three important parameters involved in the oxygen transfer in the hydric medium: volumetric mass transfer coefficient, void fraction and upflow bubble velocity. To this end, besides the use of theoretical concepts widely disseminated in the academic literature, it was employed a set of already existing data. This combination allowed the evaluation and approximation of theoretical equations to experimental reality by means of empirical adjustment coefficients. Were obtained the following results: a) literature review and suggestion of the best correlation which describes the volumetric mass transfer coefficient, b) correlation which describes the fraction of voids, from the analysis of the concentration of bubbles by Gaussian distributions, c) correlation which describes the upflow velocity of swarms of bubbles. The complexity of each parameter obtained made clear the importance of the isolated analysis, preceding the convolution of them in a single model because although the answers and recommendations given fail to supply definitive conclusions on all aspects involved in the transfer of oxygen in hydric medium, their specific considerations contribute to the knowledge of the global phenomenon, benefiting deeply future mathematical models.
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Estudo experimental do funcionamento de um sistema gas-lifMendes, Fernando Augusto Alves [UNESP] 27 December 2007 (has links) (PDF)
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mendes_faa_me_ilha.pdf: 2673818 bytes, checksum: 120558e9283b734ad04dda5b07ec06d0 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / O princípio de funcionamento de um sistema gas-lift é bastante simples, baseando-se na injeção de um gás inerte próximo à extremidade submersa de um tubo utilizado para ascensão do líquido (riser). Esse sistema tem sido utilizado em diversos setores da indústria, dentre os quais se destaca o setor petroquímico. Apesar de ter sido concebido há mais de um século, e a despeito do considerável número de artigos publicados sobre o assunto, vários aspectos relativos às características do escoamento bifásico dentro do riser e ao funcionamento do sistema são, ainda, pouco conhecidos. No presente trabalho, um sistema air-lift de pequeno porte foi inteiramente desenvolvido e testado, permitindo observar o comportamento do sistema quando submetido a variações na vazão de ar, na razão de submersão e na geometria do injetor – contendo três (3F) ou quinze furos (15F). Ensaios de visualização foram conduzidos, possibilitando a caracterização do escoamento bifásico no interior do riser. Medições experimentais foram, também, realizadas para a obtenção da eficiência e das curvas características do sistema. Os resultados quantitativos foram interpretados em associação com imagens estáticas do escoamento, capturadas com uma câmera fotográfica digital, e com imagens dinâmicas, tomadas com o auxílio de uma filmadora de alta velocidade. A partir destas imagens, foi possível, ainda, a estimativa de alguns importantes parâmetros característicos do escoamento pistonado, associados ao deslocamento da chamada bolha de Taylor. Os dados assim obtidos foram comparados com valores oriundos de correlações empíricas propostas por outros autores, apresentando boa concordância. Com relação aos resultados quantitativos, observou-se que, sob determinadas condições de operação, o injetor 3F é capaz de atribuir ao sistema um rendimento significativamente maior... / The operation principle of a gas-lift system is very simple: it is based on the injection of an inert gas close to the immersed edge of a tube, which is used for the rising of the liquid (riser). This system has been used in several industrial areas and more often in the petrochemical industry. Despite the fact that it was conceived over a century ago and that there have been a considerable amount of articles published on the subject, several aspects concerning the two-phase flow characteristics inside the riser as well as its operational system are still not very well known. In the present work, a small size air-lift system was thoroughly developed and tested, which facilitated the visualization of the system behavior when submitted to variations in the air flow, the immersion ratio and the injector geometry – containing three (3H) or fifteen holes (15H). Observation experiments were carried out making it possible to characterize the two-phase flow inside the riser. Experimental measurements were also taken in order to obtain the system characteristic efficiency and slopes. The quantitative results were analyzed together with the statistic images of the flow - taken by a digital photo camera, and with the dynamic images – taken by a high-speed filming camera. Through these images, it was also possible to estimate some important characteristic parameters of the slug flow associated to the displacement of the so-called Taylor bubble. The data obtained this way were compared to the figures originated from experimental correlations proposed by other authors, and they showed a fine agreement. Regarding the quantitative results, it was observed that under certain operation conditions the 3F injector is able to give the system a significantly greater efficiency than when the 15F injector is used
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Estudo experimental do funcionamento de um sistema gas-lif /Mendes, Fernando Augusto Alves. January 2007 (has links)
Resumo: O princípio de funcionamento de um sistema gas-lift é bastante simples, baseando-se na injeção de um gás inerte próximo à extremidade submersa de um tubo utilizado para ascensão do líquido (riser). Esse sistema tem sido utilizado em diversos setores da indústria, dentre os quais se destaca o setor petroquímico. Apesar de ter sido concebido há mais de um século, e a despeito do considerável número de artigos publicados sobre o assunto, vários aspectos relativos às características do escoamento bifásico dentro do riser e ao funcionamento do sistema são, ainda, pouco conhecidos. No presente trabalho, um sistema air-lift de pequeno porte foi inteiramente desenvolvido e testado, permitindo observar o comportamento do sistema quando submetido a variações na vazão de ar, na razão de submersão e na geometria do injetor - contendo três (3F) ou quinze furos (15F). Ensaios de visualização foram conduzidos, possibilitando a caracterização do escoamento bifásico no interior do riser. Medições experimentais foram, também, realizadas para a obtenção da eficiência e das curvas características do sistema. Os resultados quantitativos foram interpretados em associação com imagens estáticas do escoamento, capturadas com uma câmera fotográfica digital, e com imagens dinâmicas, tomadas com o auxílio de uma filmadora de alta velocidade. A partir destas imagens, foi possível, ainda, a estimativa de alguns importantes parâmetros característicos do escoamento pistonado, associados ao deslocamento da chamada bolha de Taylor. Os dados assim obtidos foram comparados com valores oriundos de correlações empíricas propostas por outros autores, apresentando boa concordância. Com relação aos resultados quantitativos, observou-se que, sob determinadas condições de operação, o injetor 3F é capaz de atribuir ao sistema um rendimento significativamente maior... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The operation principle of a gas-lift system is very simple: it is based on the injection of an inert gas close to the immersed edge of a tube, which is used for the rising of the liquid (riser). This system has been used in several industrial areas and more often in the petrochemical industry. Despite the fact that it was conceived over a century ago and that there have been a considerable amount of articles published on the subject, several aspects concerning the two-phase flow characteristics inside the riser as well as its operational system are still not very well known. In the present work, a small size air-lift system was thoroughly developed and tested, which facilitated the visualization of the system behavior when submitted to variations in the air flow, the immersion ratio and the injector geometry - containing three (3H) or fifteen holes (15H). Observation experiments were carried out making it possible to characterize the two-phase flow inside the riser. Experimental measurements were also taken in order to obtain the system characteristic efficiency and slopes. The quantitative results were analyzed together with the statistic images of the flow - taken by a digital photo camera, and with the dynamic images - taken by a high-speed filming camera. Through these images, it was also possible to estimate some important characteristic parameters of the slug flow associated to the displacement of the so-called Taylor bubble. The data obtained this way were compared to the figures originated from experimental correlations proposed by other authors, and they showed a fine agreement. Regarding the quantitative results, it was observed that under certain operation conditions the 3F injector is able to give the system a significantly greater efficiency than when the 15F injector is used / Orientador: Sérgio Said Mansur / Coorientador: Edson Del Rio Vieira / Banca: André Luiz Seixlack / Banca: Ricardo Augusto Mazza / Mestre
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Estudo de parâmetros envolvidos na transferência de oxigênio em meio hídrico aerado por bolhas / Study of parameters involved in oxygen transfer in hydric medium aerated by bubblesGuilherme Araujo Vuitik 07 June 2013 (has links)
Embora seja uma técnica tradicional, empregada largamente em processos industriais, a operação unitária de aeração pode ser otimizada ao se utilizar modelos matemáticos que descrevam seu comportamento hidrodinâmico. Diversas equações se prestam a esse fim, no entanto, avanços tecnológicos, tanto no campo instrumental como computacional, permitiram a obtenção de equações mais realísticas e abrangentes. Neste trabalho foram ajustadas e avaliadas equações para descrever três importantes parâmetros envolvidos na transferência de oxigênio em meio hídrico: coeficiente volumétrico de transferência de massa, fração de vazios e velocidade ascensional de bolhas. Para tanto, ademais da utilização de conceitos teóricos amplamente difundidos no meio acadêmico, empregou-se um conjunto de dados já existente. Essa combinação permitiu a avaliação e aproximação das equações teóricas à realidade experimental através de coeficientes de ajuste empíricos. Foram obtidos os seguintes resultados: a) revisão bibliográfica e sugestão da correlação que melhor descreve o coeficiente volumétrico de transferência de massa; b) correlação que descreve a fração de vazios, a partir da analise da concentração de bolhas segundo distribuições gaussianas; c) correlação que descreve a velocidade ascensional de bolhas em plumas. A complexidade de cada parâmetro obtido deixou clara a importância da análise isolada, precedendo a convolução dos mesmos em um único modelo, pois embora as resposta e recomendações apresentadas não forneçam conclusões definitivas sobre todos os aspectos envolvidos na transferência de oxigênio em meio hídrico, suas considerações pontuais contribuem sobremaneira ao domínio do fenômeno global, beneficiando modelagens matemáticas futuras. / Although it is a traditional technique, widely employed in industrial processes, the unit operation of aeration can be optimized when resorting to mathematical models which describe their hydrodynamic behavior. A range of equations lends itself to this purpose, however, technological advances both in the instrumental as computational field, allowed the achievement of equations more realistic and comprehensives. In this study were adjusted and evaluated equations to describe three important parameters involved in the oxygen transfer in the hydric medium: volumetric mass transfer coefficient, void fraction and upflow bubble velocity. To this end, besides the use of theoretical concepts widely disseminated in the academic literature, it was employed a set of already existing data. This combination allowed the evaluation and approximation of theoretical equations to experimental reality by means of empirical adjustment coefficients. Were obtained the following results: a) literature review and suggestion of the best correlation which describes the volumetric mass transfer coefficient, b) correlation which describes the fraction of voids, from the analysis of the concentration of bubbles by Gaussian distributions, c) correlation which describes the upflow velocity of swarms of bubbles. The complexity of each parameter obtained made clear the importance of the isolated analysis, preceding the convolution of them in a single model because although the answers and recommendations given fail to supply definitive conclusions on all aspects involved in the transfer of oxygen in hydric medium, their specific considerations contribute to the knowledge of the global phenomenon, benefiting deeply future mathematical models.
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Design and characterization of gas-liquid microreactors / Design et caractérsation des micro-réacteurs gaz-liquideVölkel, Norbert 04 December 2009 (has links)
Cette étude est dédiée à l'amélioration du design des microréacteurs gaz-liquide. Le terme de microréacteur correspond à des appareils composés de canaux dont les dimensions sont de l’ordre de quelques dizaines à quelques centaines de microns. Grâce à la valeur importante du ratio surface/volume, ces appareils constituent une issue prometteuse pour contrôler les réactions rapides fortement exothermiques, souvent rencontrées en chimie fine et pharmaceutique. Dans le cas des systèmes gaz-liquide, on peut citer par exemple les réactions de fluoration, d’hydrogénation ou d’oxydation. Comparés à des appareils conventionnels, les microréacteurs permettent de supprimer le risque d’apparition de points chauds, et d’envisager le fonctionnement dans des conditions plus critiques, par exemple avec des concentrations de réactifs plus élevées. En même temps, la sélectivité peut être augmentée et les coûts opératoires diminués. Ainsi, les technologies de microréacteurs s’inscrivent bien dans les nouveaux challenges auxquels l'industrie chimique est confrontée ; on peut citer en particulier la réduction de la consommation énergétique et la gestion des stocks de produits intermédiaires. Les principaux phénomènes qui doivent être étudiés lors de la conception d’un microréacteur sont le transfert de matière et le transfert thermique. Dans les systèmes diphasiques, ces transferts sont fortement influencés par la nature des écoulements, et l'hydrodynamique joue donc un rôle central. Par conséquent, nous avons focalisé notre travail sur l’hydrodynamique de l’écoulement diphasique dans les microcanaux et sur les couplages constatés avec le transfert de masse. Dans ce contexte, nous nous sommes dans un premier temps intéressés aux régimes d’écoulement et aux paramètres contrôlant la transition entre les différents régimes. Au vu des capacités de transfert de matière et à la flexibilité offerte en terme de conditions opératoires, le régime de Taylor semble le plus prometteur pour mettre en œuvre des réactions rapides fortement exothermiques et limitées par le transfert de matière. Ce régime d'écoulement est caractérisé par des bulles allongées entourées par un film liquide et séparées les unes des autres par une poche liquide. En plus du fait que ce régime est accessible à partir d’une large gamme de débits gazeux et liquide, l'aire interfaciale développée est assez élevée, et les mouvements de recirculation du liquide induits au sein de chaque poche sont supposés améliorer le transport des molécules entre la zone interfaciale et le liquide. A partir d'une étude de l’hydrodynamique locale d’un écoulement de Taylor, il s’est avéré que la perte de charge et le transfert de matière sont contrôlés par la vitesse des bulles, et la longueur des bulles et des poches. Dans l’étape suivante, nous avons étudié l'influence des paramètres de fonctionnement sur ces caractéristiques de l’écoulement. Une première phase de notre travail expérimental a porté sur la formation des bulles et des poches et la mesure des champs de vitesse de la phase liquide dans des microcanaux de section rectangulaire. Nous avons également pris en compte le phénomène de démouillage, qui joue un rôle important au niveau de la perte de charge et du transfert de matière. Des mesures du coefficient de transfert de matière (kLa) ont été réalisées tandis que l'écoulement associé était enregistré. Les vitesses de bulles, longueurs de bulles et de poches, ainsi que les caractéristiques issues de l’exploitation des champs de vitesse précédemment obtenus, ont été utilisées afin de proposer un modèle modifié pour la prédiction du kLa dans des microcanaux de section rectangulaire. En mettant en évidence l'influence du design du microcanal sur l’hydrodynamique et le transfert de matière, notre travail apporte une contribution importante dans le contrôle en microréacteur des réactions rapides fortement exothermiques et limitées par le transfert de matière. De plus, ce travail a permis d'identifier certaines lacunes en termes de connaissance, ce qui devrait pouvoir constituer l'objet de futures recherches. / The present project deals with the improvement of the design of gas-liquid microreactors. The term microreactor characterizes devices composed of channels that have dimensions in the several tens to several hundreds of microns. Due to their increased surface to volume ratios these devices are a promising way to control fast and highly exothermic reactions, often employed in the production of fine chemicals and pharmaceutical compounds. In the case of gas-liquid systems, these are for example direct fluorination, hydrogenation or oxidation reactions. Compared to conventional equipment microreactors offer the possibility to suppress hot spots and to operate hazardous reaction systems at increased reactant concentrations. Thereby selectivity may be increased and operating costs decreased. In this manner microreaction technology well fits in the challenges the chemical industry is continuously confronted to, which are amongst others the reduction of energy consumption and better feedstock utilization. The main topics which have to be considered with respect to the design of gasliquid μ-reactors are heat and mass transfer. In two phase systems both are strongly influenced by the nature of the flow and thus hydrodynamics play a central role. Consequently we focused our work on the hydrodynamics of the two-phase flow in microchannels and the description of the inter-linkage to gas-liquid mass transfer. In this context we were initially concerned with the topic of gas-liquid flow regimes and the main parameters prescribing flow pattern transitions. From a comparison of flow patterns with respect to their mass transfer capacity, as well as the flexibility offered with respect to operating conditions, the Taylor flow pattern appears to be the most promising flow characteristic for performing fast, highly exothermic and mass transfer limited reactions. This flow pattern is characterized by elongated bubbles surrounded by a liquid film and separated from each other by liquid slugs. In addition to the fact that this flow regime is accessible within a large range of gas and liquid flow rates, and has a relatively high specific interfacial area, Taylor flow features a recirculation motion within the liquid slugs, which is generally assumed to increase molecular transport between the gas-liquid interface and the bulk of the liquid phase. From a closer look on the local hydrodynamics of Taylor flow, including the fundamentals of bubble transport and the description of the recirculation flow within the liquid phase, it turned out that two-phase pressure drop and gas-liquid mass transfer are governed by the bubble velocity, bubble lengths and slug lengths. In the following step we have dealt with the prediction of these key hydrodynamic parameters. In this connection the first part of our experimental study was concerned with the investigation of the formation of bubbles and slugs and the characterization of the liquid phase velocity field in microchannels of rectangular cross-section. In addition we also addressed the phenomenon of film dewetting, which plays an important rôle concerning pressure drop and mass-transfer in Taylor flow. In the second part we focused on the prediction of gas-liquid mass transfer in Taylor flow. Measurements of the volumetric liquid side mass transfer coefficient (kLa-value) were conducted and the related two-phase flow was recorded. The measured bubble velocities, bubble lengths and slug lengths, as well as the findings previously obtained from the characterization of the velocity field were used to set-up a modified model for the prediction of kLa-values in μ-channels of rectangular cross-section. Describing the interaction of channel design hydrodynamics and mass transfer our work thus provides an important contribution towards the control of the operation of fast, highly exothermic and mass transfer limited gas-liquid reactions in microchannels. In addition it enabled us to identify gaps of knowledge, whose investigation should be items of further research.
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Influence of Gas Density and Plug Diameter on Plume Characteristics by Ladle StirringRiabov, Dmitrii, Gain, Muhammad Murtaza, Kargul, Tomasz, Volkova, Olena 10 July 2024 (has links)
The paper presents new results concerning the influence of the gas density and porous plug diameter on the nature of liquid steel stirring with an inert gas in the ladle. The tests were carried out on a cold model of a 30t ladle using particle image velocimetry (PIV) with a high-speed camera to analyse the plume zone formed during the supply of argon and helium as a stirring gas. The similarity criteria for the investigation of stirring processes in cold model in the past were discussed and compared. The modified Morton number was used in this paper to relate the gas flow rate in the model with real objects. The presented results constitute complete documentation of the influence of the plug diameter and gas density on the size of formed gas bubbles and the velocity of gas bubbles rising in different zones of the plume, plume, and spout geometry, including the expansion angle, spout height, open eye area, and gas hold-up.
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