[pt] O presente trabalho analisa experimentalmente o escoamento estratificado gás-líquido (ar-água) em um duto de seção retangular. Obteve-se uma correlação empírica para a tensão de cisalhamento na interface. Verifica-se que tal tensão, além de ser função dos números de Reynolds de ambos os escoamentos, depende também de características inerentes à fase líquida. Um perfil teórico de velocidade do gás foi comparado com os dados experimentais obtidos por anemometria para a região logarítmica. Foi realizada uma análise de incertezas, que mostrou uma elevada confiabilidade nos resultados obtidos. / [en] Experiments were carried out to analyse a gás-liquid (air-water) stratified flow through a retangular duct. An empirical correlation was ontained for the shear stress at the interface. Such shear stress, that depends on the Reynolds numbers of both flows, is also a function of liquid specific parameters. A theoretical gas velocity profile was compared with experimental data using a hot-wire anemometry with good results in the logaritimic region. The uncertainly abalysis shows that this correlation presents a very low degree of uncertainly.

No description available.

Semiochemicals released from logs infested by southern pine beetle (SPB), <i>Dendroctonus frontalis</i>, from a total of eight infestations located in Texas, South Carolina, and Virginia were collected four to eight days after initial attack. The quantities and chiralities of most semiochemicals, as analyzed by gas-liquid chromatography, showed geographic and temporal variations. Changes in the quantities of α-pinene (aP), frontalin (F), and <i>endo</i>-brevicomin (eB), are believed to result from responses of the host and the beetle to each other's activity at a given time and differences in their respective health. The chiralities of aP, F, and eB at all locations generally remained stable over time, yet variation across the insect's geographic range, particularly for aP and F, is believed to be due to genetic variation of individuals. Geographic and temporal variations in the quantities and chiralities of <i>cis</i>-verbenol (cV), <i>trans</i>-verbenol (tV), and verbenone (V) are presumed to be due to the multiple pathways of origin (SPB, autoxidation, and microorganisms). Analysis of the same semiochemicals isolated from hindguts of individual beetles from Texas, South Carolina, and North Carolina showed quantities of cV and tV to be substantially greater in females than in males; whereas, males contained much greater amounts of V. Geographic differences were found in quantities of tV and V in both sexes and in aP and F in males only. The chiralities of most semiochemicals present in SPB hindguts differed markedly from those released from infested logs. Males produced predominantly (+)-F and (-)-eB, (-)-cV, and (-)-V; however, the chirality of tV varied considerably among areas. In contrast, females produced predominantly (+)-cV and (+)-V and (-)-F, (-)-eB, and (-)-tV. The (+) enantiomer of aP predominated in both sexes, but the proportion of (+ )-aP was generally lower than that released from SPB-infested logs from the same areas. Geographic differences in chirality of tV and V were significant in males and for eB in females. In laboratory trials, aP autoxidized under ambient temperatures to form tV, myrtenol (M), V and to a lesser extent, cv. Both the quantities and chiralities of these compounds were dependent on the chirality of the aP precursor. Significantly greater amounts and proportions of the (+) enantiomer of each compound were produced when (+)-aP was predominant than when the antipode of the precursor was predominant. The extent to which autoxidation products playa role in bark beetle behavior is expected to be dependent on the proportion of aP in pine resin and its chirality present in a pine species. The information gained from this research was used to elaborate on previously proposed behavioral sequences occurring during the mass attack of host trees by SPB and to suggest new avenues to improve the use of semiochemicals in pest management efforts. / Ph. D.

A theoretical model describing the motion of a small, fast rare gas atom as it passes over a liquid surface is developed and discussed in detail. A key feature of the model is its reliance on coarse-grained capillary wave and local mode descriptions of the liquid surface. Mathematically, the model is constructed with several concepts from probability and stochastic analysis. The model makes predictions that are quantitative agreement with neon-liquid surface scattering data collected by other research groups. These predictions include the dominance of single, rather than multiple, neon-liquid surface collision dynamics, an average of 60 % energy transfer from a neon atom upon colliding with a non-metallic surface, and an average of 25 % energy transfer upon colliding with a metallic surface. In addition to this work, two other investigations into the gas-liquid interface are discussed. The results of an experimental investigation into the thermodynamics of a gas flux through an aqueous surface are presented, and it is shown that a nitrous oxide flux is mostly due to the presence of a temperature gradient in the gas-liquid interface. Evidence for a reaction between a carbon dioxide flux and an ammonia monolayer on an aqueous surface to produce ammonium carbamate is also found. The second of these is an investigation into the mechanism of bromine production from deliquesced sodium bromide aerosol in the presence of ozone, and involves a sensitivity and uncertainty analysis of the computer aerosol kinetics model MAGIC. It is shown that under dark, non-photolytic conditions, bromine production can be accounted for almost exclusively by a reaction between gas-phase ozone and surface-bound bromide ions. Under photolytic conditions, bromine production instead involves a complicated interplay between various gas-phase and aqueous-phase reactions.

When designing modern engines it is important to construct a cooling system that cools the engine structure efficiently. Within the cooling system there is always a certain amount of air which can accumulate and form air pockets in critical areas, such as the water jacket, which can lead to wall degradation. A Computational Fluid Dynamics (CFD) method in STAR-CCM+ from CD-adapco, was derived at Volvo Cars in order to study the accumulation of air bubbles in the water jacket. The method was derived by investigating and evaluating already existing methods. The method initially considered as the best suited was the Eulerian-Eulerian approach. The method was validated against three simpler geometries where experimental data was available. The Eulerian-Eulerian approach treats both phases, liquid and gas, as continuous phases. The idea with the method is to solve the Navier-Stokes equation, the continuity equation and the energy equation for both phases using the Eulerian approach, therefore called Eulerian-Eulerian. The interaction between the two phases was important to model properly which was done by including several interaction models within STAR-CCM+. By tuning different coefficients, which were investigated by a thorough parameter study, the method resembled the experimental data in a satisfying way. The best suited mesh for these simpler geometries was a directed mesh. However, the mesh in the water jacket was automatically generated by STAR-CCM+ and the simpler cases were therefore validated with an automated mesh as well. To capture the experimental data the convection scheme for volume fraction had to be of second order when simulating with automated mesh. This resulted in convergence issues when implementing the method on the water jacket. Instead first order convection scheme, which did not present as satisfying results as second order, had to be implemented. Simulations of the water jacket were performed with two different velocities, that were 10 m/s and 19 m/s, and different flow split ratios for the three outlets. Air with volume fraction 0.1 was injected at the inlet during the first 0.5 s followed by 0.5-1.1 s of further simulation without injecting air. Increased velocity resulted in increased flow through of gas, whereas no big difference could be seen between the different outlet flow split ratios. At two different zones lower pressure was found which resulted in gas holdup. To be able to validate the results from the water jacket, experiments would be necessary to perform in order to provide experimental data for comparison. Velocity profiles from the derived two-phase method resemble the velocity profiles from the one-phase simulation from Volvo, which indicated that the two-phase method did not affect the solution in a remarkable way. Granted that the zones of lower pressure and gas holdup normally coincides, the pressure field from the one-phase simulation could be directly studied, which would lower the computational costs significantly.

Thesis (MScEng (Process Engineering))--University of Stellenbosch, 2007. / Adequate provision of oxygen to aerobic bioprocesses is essential for the optimisation of process kinetics. In bioprocesses in which the feedstock is an alkane, the supply of sufficient oxygen is of particular concern because the alkane molecular structure is deficient in oxygen. As a result, the oxygen demand has to be met solely by transfer of oxygen to the culture, necessitating a proportionately higher requirement for oxygen transfer. Maximisation of the rate of oxygen transfer is therefore of key importance in optimising the potential for alkane bioconversion, with respect to both operation and scale up. Nevertheless, the oxygen transfer rate (OTR), and its dependence on the overall volumetric mass transfer coefficient (KLa) in alkane-aqueous dispersions is not yet well understood. In view of the importance of an adequate OTR in the optimisation of alkane bioconversion, this study has focused on the identification and elucidation of the factors which underpin the behaviour of KLa in an alkane-aqueous dispersion. KLa behaviour was quantified in terms of the pressures imposed by turbulence and alkane fluid properties, through their influence on the Sauter mean diameter (D32), gas hold up, gas-liquid interface rigidity and gas-liquid interfacial area per unit volume. These properties were correlated with KLa over a wide range of agitation rates and alkane concentrations in alkane-aqueous dispersions. Experiments were conducted in a 5 litre aerated and agitated bioreactor at agitation rates of 600, 800, 1000 and 1200 rpm and alkane (n-C10-C13 cut) concentrations of 0, 2.5, 5, 10, and 20% (v/v). KLa determination was executed using both the gassing out and pressure step methods. The accuracy and reliability of these methods were compared under the full range of agitation rates and alkane concentrations. The pressure step method was conclusively shown to be superior provided that probe response was taken into account, and was therefore used in the correlations. The interfacial areas corresponding to the KLa values were calculated from the combined effects of D32 and gas hold up. D32 was determined from the measurement of the dispersed air bubble diameters by means of a photographic technique and image analysis. Image analysis was performed by a program that was developed in Matlab® using image acquisition and image processing techniques. This program used these techniques to extract information of the gas bubbles in the image. The gas hold up was determined using the dispersion height technique. The behaviour of KLa was shown to be dependent on both agitation and alkane concentration. Increasing agitation from 600 to 1200 rpm increased KLa for each of the alkane concentrations. The influence of agitation on the interfacial area was evaluated over the same range of agitation rates and the relationship between the corresponding KLa values and interfacial areas assessed. Increasing agitation rate similarly enhanced the interfacial area available for transfer for each of the alkane concentrations, resulting in the concomitant increase in KLa. This increase in interfacial area was related directly to a shear-induced decease in D32 and indirectly to an increased gas holdup as a result of the lower rise velocity of the smaller bubbles. In addition to the agitation, the presence of alkane markedly influenced KLa behaviour, but in different ways, depending on the alkane concentration. Alkane concentration between 2.5 and 5% (v/v) reduced D32 at constant agitation of 800, 1000 and 1200 rpm, a likely consequence of decreased surface tension and retarded coalescence conferred by the alkane. The smaller D32 and the consequential enhanced gas hold up served to amplify KLa through increased interfacial area. However, as alkane concentration was increased above 5% (v/v), the gas hold up decreased despite a continued decrease in D32, resulting in a corresponding decrease in both the interfacial area and KLa. This suggests that at the higher alkane concentrations, the influence of viscosity predominated, exerting multiple negative influences on the interfacial area and oxygen transfer coefficient. The trends were however, not observed at the low agitation of 600 rpm, where turbulence was significantly reduced and KLa was repressed for all alkane concentrations. The pressures imposed by turbulence and alkane properties on the interfacial area defined locales of KLa behaviour and three distinct KLa behavioural trends were identified, depending on the agitation rate and alkane concentration. Regime 1 was constrained between 2.5 and 5% (v/v) for agitation rates of 800 rpm and above. Here KLa enhancement was directly associated with increased interfacial area which was the major factor defining KLa in this regime. Regime 2 was constrained by alkane concentrations higher than 5% (v/v) for agitation rates of 800 rpm and above. In this regime, the KLa depression was observed with increasing alkane concentration suggesting a predominant influence of viscosity which would be likely to exert multiple negative influences on KLa, through both the interfacial area and KL. The interfacial area in this regime decreased mainly due to the negative effect of viscosity on gas holdup. Regime 3, characterised by a decline in KLa irrespective of the alkane concentration, occurred at agitation rates smaller than 800 rpm. It is likely that at low agitation rates, the contribution of turbulence was insufficient to exert a positive influence on the interfacial area In this regime, the interfacial decreased through the combined negative effect of increased D32 and decreased gas holdup. The resultant variation in OTR depended directly on the relative magnitudes of the KLa and oxygen solubility and indirectly on the process conditions which defined these magnitudes. Under conditions of enhanced KLa, OTR benefited from the combined increases in KLa and oxygen solubility. However, under conditions of KLa depression, the elevated oxygen solubility did not invariably outweigh the influence of KLa depression on OTR. Consequently, despite the considerably increased solubility of oxygen in alkane-based bioprocesses a potential decrease in OTR through depressed KLa underlines the critical importance of the quantification of this parameter in alkane-aqueous dispersions and the necessity for a definition of the locales of optimal KLa. Through the identification of the parameters which underpin the behaviour of KLa in alkane-aqueous dispersions and the quantification of the effect of process conditions on these parameters, a fundamental understanding of the KLa and OTR in alkane-aqueous dispersions has been developed. This provides a knowledge base for the prediction of optimal KLa in these systems and has wide application across all alkane-based bioprocesses.

Thesis (PhD)--Stellenbosch University, 1997 / ENGLISH ABSTRACT: An experimental investigation on gas-liquid counterflow in inclined rectangular ducts is conducted. The pressure drop across the sharp-edged gas inlet and the pressure gradient inside the duct are measured. Combinations of water, methanol, propanol, air, argon, helium and hydrogen are tested. The duct height and width are varied from 50 mm to 150 mm and 10 mm to 20 mm respectively. The emphasis is on high void fraction flow, i.e. low liquid flow rates as encountered in air-cooled reflux condensers. At low to moderate gas flow rates the pressure gradient is gas Reynolds number related while it becomes dependent on the superficial densimetric gas Froude number as the gas flow is increased. According to experiment the hydraulic diameter is the required length dimension in the gas Reynolds number while the duct height becomes the characteristic dimension in the Froude number regime. Flooding curves are generated for duct inclinations from close to the horizontal to the vertical. The data correlate in terms of the phase Froude numbers and a dimensionless liquid property parameter containing the hydraulic diameter, density, surface tension and the viscosity. The flooding gas velocity is found to be strongly dependent on the duct height, the phase densities and the duct inclination. The liquid viscosity has a stronger effect than the surface tension. Both these properties however playa secondary role. Flooding is not related to the gas Reynolds number. A theoretical model, based on the phenomenological findings of the adiabatic counterflow investigation, is derived to evaluate the performance of an air-cooled reflux condenser. Field tests are conducted on a full scale reflux condenser and the measured performance is compared to the model prediction. The reflux condenser is found to achieve only 60% of the predicted heat rejection rate due to the existence of so-called cold or dead zones. Indications are that excessive entraiment in the bottom header and the subsequent accumulation of condensate in the finned tubes causes a maldistribution of the steamside flow. In the process noncondensable gases accumulate and form dead zones, causing ineffective performance. Flooding as found in single-ducts does not appear to contribute to the formation of the dead zones. / AFRIKAANSE OPSOMMING: Die teenvloei van gas en vloeistof in reghoekige skuins buise is eksperimenteel ondersoek. Die drukverlies oor die skerp gasinlaat en die drukval in die buis is gemeet vir verskillende kombinasies van water, propanol, metanol, lug, argon, helium en waterstof. Buishoogtes en breedtes van 50 mm tot 150 mm en 10 mm tot 20 mm respektiewelik is getoets. Die klem van die ondersoek is op lae vloeistofvloeitempos soos teenwoordig tydens kondensasie van stoom in lugverkoelde teenvloeikondensors. Vir lae tot matige gasvloeitempos is die drukval afhanklik van die gas Reynolds-getal terwyl die densimetriese gas Froude-getal die heersende parameter word soos die gasvloei toeneem. Die hidrouliese diameter verteenwoordig die dimensie in die Reynolds-getal maar die buishoogte word die karakteristieke dirnensie in die Froude-getal gebied. Vloedingskurwes is vir 'n reeks van buishoeke gegenereer. Die vloedingdata korreleer in terme van die Froude-getal en 'n dimensielose parameter bestaande uit die hidrouliese diameter, oppervlakspanning, vloeistofdigtheid en die vloeistofviskositeit. Die vloeidingsnelheid is primêr van die buishoogte, vloeierdigthede en die buishoek afhanklik. Die vloeistofviskositeit-effek is sterker as die van die oppervlakspanning. Beide die eienskappe speel egter 'n sêkondere rol. Die gas Reynolds-getal beïnvloed nie die vloeidingsproses nie. Die fundamentele bevindinge van die teenvloeiondersoek is toegepas om die werkverigting van 'n lugverkoelde teenvloeikondenser teoreties te modelleer. Werkverigtingstoetse is uitgevoer op 'n volskaal teenvloeikondenser. Die toetsresultate word vergelyk met die teoretiese voorspelling. Die teenvloeikondensor behaal slegs sowat 600% van die voorspelde warmteoordrag omdat van die gevinde buise gedeeltelik by omgewingstemperatuur is. Hierdie verskynsel heet koue of dooie sones. Dit blyk dat die kondensaat in die onderste spruitstuk nie vrylik kan dreineer nie en in die vorm van druppels deur die stoom opgesleur word. Gevolglik versamel kondensaat binne die buise en sodoende kan nie-kondenseerbare gasse nie effektief uit die teenvloeikondensor verwyder word nie. Soos die gasse versamel word koue sones gevorm. Dit blyk dat vloeding soos waargeneem in enkelbuise nie tot die vorming van koue sones bydra nie.

Ce travail décrit les équilibres gaz-liquide lors des fermentations alcooliques en conditions œnologiques, en se focalisant sur les composés d'arôme les plus abondants : isobutanol, alcool isoamylique, acétate d'éthyle, acétate d'isoamyle et hexanoate d'éthyle. Les coefficients de partage à l'équilibre (ki) de ces molécules sont quantifiés, grâce à la méthode PRV (Phase Ratio Variation), en précisant l'effet de la composition du milieu et de la température. Grâce à la mise en œuvre de fermentations spécifiques pendant lesquelles la vitesse de dégagement de CO2 est contrôlée (grâce à une perfusion d'azote ammoniacal), il a été montré que le dégagement de CO2 n'avait pas d'effet sur le rapport de concentrations entre phase gaz et liquide et pouvait être assimilé au ki. Une démarche de modélisation est ensuite effectuée, pour estimer la valeur du rapport de concentrations entre phase liquide et gaz pour ces composés (à l'exception de l'acétate d'éthyle et de l'alcool isoamylique), à tout moment de la fermentation et quelle que soit la température, y compris en conditions de non isothermie. Le modèle, basé sur l'équilibre des phases gaz et liquide, conduit à une erreur moyenne d'estimation inférieure à 10%. Grâce à ce modèle, il devient possible de réaliser des bilans de production des différents composés tout au long de la fermentation, à partir de leur seule mesure dans la phase gaz. Ces bilans permettent de différencier (i) la quantité globale produite, représentative des potentialités de la levure (intérêt microbiologique), (ii) la quantité restant dans la phase liquide (intérêt organoleptique) et (ii) la quantité perdue dans le gaz effluent (intérêt technologique). Il est ainsi mis en évidence que les pertes d'esters sont très importantes. Par exemple, à 20°C, elles atteignent respectivement 44 % et 25 % pour l'hexanoate d'éthyle et l'acétate d'isoamyle. Grâce à un dispositif de suivi en ligne permettant des mesures très fréquentes (une par heure), les vitesses - et les vitesses spécifiques - de production et de pertes sont calculées. Elles constituent de nouvelles informations utiles à la fois pour l'étude du métabolisme (suivi de la dynamique de flux métaboliques) et pour mieux raisonner les conduites de fermentation, notamment le régime de température. L'impact de ce régime de température est étudié plus en détail en réalisant des bilans de production lors de fermentations conduites avec la même souche de levure et le même moût. Les résultats obtenus montrent que si l'on ne prend en compte que les concentrations dans la phase liquide - généralement les seules informations disponibles - on surestime fortement l'impact de la température sur le métabolisme de composés fortement volatils, tels que les esters / The gas-liquid partitioning during winemaking fermentations was studied, with a focus on the main aroma compounds: isobutanol, isoamyl alcohol, ethyl acetate, isoamyl acetate, ethyl hexanoate. The partition coefficients (ki) of these molecules were quantified, using the PRV (Phase Ratio Variation) method. The influence of the must composition and temperature was assessed. The absence of any effect of CO2 production on gaz-liquid ratio compared to ki value was established by running specific fermentations in which the rate of CO2 production was kept constant by perfusion with assimilable nitrogen. A model was then elaborated to calculate gaz-liquid ratio of these molecules (excepted ethyl acetate and isoamyl alcohol) at any fermentation progress and at any temperature, including anisothermal fermentations. The model based on the equilibrium between the gas and liquid phases predicted ki with less than 10% error. Using this model, balances were c alculated, with a differentiation between (i) the total production, representative of the yeast potential (microbiological interest), (ii) the amount remaining in the fermenting must (organoleptic interest) and (iii) the amount lost in the exhaust CO2 (technological interest). High losses of esters were observed. For example, at 20°C, they represented 44% and 25 % for ethyl hexanoate and isoamyl acetate, respectively. Using an on line monitoring with a high frequency of measurements (one per hour), rates and specific rates of production were calculated. These new data are useful both for studies on metabolism (dynamics of metabolic fluxes) and for improving fermentation control, in particular temperature profile. The impact of temperature was assessed in more detail by comparing balances of production during fermentations run with the same yeast strain and must. These experiments demonstrated that the effect of temperature on the yeast metabolism was highly overestimated whe n only considering the concentrations in the liquid, i.e. usually the only available information.

Le travail actuel traite le problème de l'écoulement gaz-liquide compositionnel pour la représentation d'un puits dans des simulations de réservoir. L'objectif est de développer les rapports analytiques qui pourraient lier la pression de puits, la saturation et les concentrations de composant à leurs valeurs moyennes dans chaque zone de l'influence de puits. Nous avons montre que des N-2 équations décrivant le transport des concentrations de phase peuvent être transformées en équations ordinaires (différentiation en ce qui concerne la pression) indépendantes du temps et de l'espace examinant le long des lignes de courant. Ces équations transformées représentent des relations thermodynamiques additionnelles réduisant le degré de liberté thermodynamique. En raison de ceci le variance thermodynamique du modèle compositionnel limite s'avère égal à 1 pour tout nombre de composants chimiques. Cette transformation assurent se découplage total du modèle compositionnel limite dans le nouveau modèle thermodynamique et le modèle hydrodynamique, qui peut être resoved inedpendently d'un un autre. Le modèle thermodynamique décompose est totalement indépendant sur l'hydrodynamique, et décrit le comportement d'équilibre d'un système gaz-liquide ouvert. Ce modèle contient les équations d'équilibre et la EOS classiques, aussi bien que les N-2 nouvelles équations appelées la "Delta-loi", qui déterminent la variation de composition d'un système ouvert dans lequel la masse de chaque composant n'est pas conservée. Le modèle hydrodynamique décompose a été utiliser pour développer les solutions asymptotiques des problèmes d'écoulement de gaz-condensat. Le problème a été montré perturbé singulièrement avec la formation d'une couche limite à voisinage du puits. Dans cette couche la propriété basique de contraste des mobilities de gaz et de liquide est perturbée. On développe une technique spéciale qui permet de construire des expansions asymptotiques sous forme de deux diverses séries: le primer est valide loin du puits (l'expansion extérieure), alors que le second dans valide à voisinage du puits (la couche limite ou l'expansion intérieure). En appliquant la méthode asymptotique suggérée, nous avons développé les solutions asymptotiques pour le problème de l'écoulement multicompositionnel de gaz-condensat àu puits dans un domaine borné à un débit variable. En plusieurs cas la solution peut être obtenue sous la forme analytique, alors qu'en cas général de l'écoulement la méthode mène à une solution de semi-analytical, présentée comme problème initial pour une équation. Cette solution, même étant présenté en forme non-analytique, est beaucoup plus simple que le modèle compositionnel original, car l'équation pour la saturation ne dépend pas de la pression locale, mais dépend de la pression de bord seulement. Dans le dernier chapitre nous avons prolongé cette approche au cas quand la pression capillaire n'est pas négligée. Nous avons supposé cependant que les forces capillaires sont inférieures à la différence de pression entre le puits et la bord de réservoir, dus à ce que nous avons appliqué la méthode de perturbation pour petit nombre capillaire inverse. On obtient les solutions asymptotiques améliorées qui tiennent compte de l'effet capillaire. Simulations numériques montrées que ces effets sont maximaux àu voisinage du puits. Le cas d'une exploitation à long terme du réservoir. Tout d'abord, la simulation traditionnelle du comportement de réservoir peut être effectuée avec l'ECLIPSE en ajoutant la méthode de Peaceman de représentation bonne, qui est une relation analytique pour la pression de puits par l'intermédiaire du débit de production. Cette relation inclut une saturation condensat qui peut être évaluée comme saturation moyenne de réservoir. Une telle simulation fournit un bon résultat pour la pression de puits (ou le débit de production), et un bon résultat pour la saturation de bord, mais des données faibles pour la saturation de puits. Cette valeur peut être calculée en utilisant les solutions asymptotiques suggérées dans le présent projet. Le cas d'un puits de production à court terme (un essai de puits). Il est suffisant de simuler le comportement de réservoir dans le domaine de l'influence de puits, en supposant que l'état de frontière demeure invariable (et connu a priori). Dans ce cas-ci les solutions asymptotiques suggérées dans le travail de presnet peuvent être directement employées pour simuler le problème (sans employer l'ECLIPSE). Le problème de l'écoulement de gaz-condensat à une fracture. Nous avons construit un champ plutôt arbitraire avec des lignes de courant orientées à la fracture, en supposant que la fracture joue le rôle d'une décharge, et les lignes de courant sont stationnaire. Pour une ligne de courant arbitraire nous avons reformulé le modèle d'écoulement de gaz-condensat dans des coordonnées cartésiennes. Pour ce problème nous avons développé les expansions asymptotiques / The present work deals with the problem of the compositional gas-liquid flow for the well representation in reservoir simulations. The objective is to develop analytical relationships which would be able to link the wellbore pressure, saturation and component concentrations to their mean values within each zone of the well influence. It is shown that N-2 equations describing the transport of phase concentrations can be transformed into the space- and time-independent ordinary differential equations (differentiation with respect to pressure) when examined along flow streamlines. These transformed equations represent additional thermodynamic relations reducing the thermodynamic degree of freedom. Due to this the thermodynamic variance of the limit compositional model is shown to be equal to 1 for any number of chemical components. This transformation ensure a total splitting of the limit compositional model into the new thermodynamic model and a hydrodynamic model, which may be resoved inedpendently of one another. The split thermodynamic model is totally independent on the hydrodynamic one, and describes the equilibrium behaviour of an open gas-liquid system. This model contains the classic equilibrium equations and EOS, as well as N-2 new differential equations called the "delta-law" which determine the composition variation in an open system, in which the mass of each component is not conserved. The split hydrodynamic model consists of two equations for pressure and saturation. The split hydrodynamic model was used to develop asymptotic solutions of gas-condensate flow problems. The problem was shown to be singularly perturbed with formation of a boundary layer in the vicinity of the well. In this layer the basic contrast property of gas and liquid mobilities is perturbed. A special technique is developed which enables to construct asymptotic expansions in the form of two various series, one of them is valid far from the well (the exterior expansion), while the second one in valid in the vicinity of the well (the boundary-layer or interior expansion). By applying the suggested asymptotic method, we have developed the asymptotic solutions for the problem of multi-component gas-condensate flow to a well in a bounded domain at a variable flow rate. In several cases the solution may be obtained in the analytical form, while in general case of flow the method leads to a semi-analytical solution presented as an initial problem for a differential equation. This solution, even being presented in non-analytical form, is much simpler than the original compositional model, as the equation for saturation does not depend on the local pressure, but on the boundary pressure only. In the last chapter we extended this approach to the case when the capillary pressure is not neglected. We assumed however that the capillary forces are lower than the pressure difference between the wellbore and reservoir boundary, due to which we applied the perturbation method over the small inverse capillary number. The improved asymptotic solutions are obtained which take into account the capillary effect. Numerical simulations shown that these effects are maximal in the vicinity of the well. For the practice, the obtained asymptotic solutions may be used in the following way to resolve the problem of gas-condensate well representation. The case of a long-term exploitation of the reservoir}. First of all, the traditional simulation of the reservoir behaviour can be performed with ECLIPSE by adding the Peaceman method of well representation, which is an analytical relation for the wellbore pressure via the production rate. This relation includes a condensate saturation which can be evaluated as a mean reservoir saturation. Such a simulation provides a good result for the wellbore pressure (or the production rate), and a good result for the boundary saturation, but poor data for the wellbore saturation. This value can be calculated next by using the asymptotic solutions suggested in the presented project. The case of a short-term well production (a well test). It is sufficient to simulate the reservoir behaviour in the domain of the well influence, by assuming that the boundary state remains invariable (and known a priori). In this case the asymptotic solutions suggested in the presnet work can be directly used to simulate the problem (without using ECLIPSE)

Nous présentons plusieurs expériences d'hydrodynamique interfaciale illustrant des procédés de création, stabilité et rupture d'interfaces fluides, liquide/liquide ou liquide/gaz. Dans un premier temps, nous étudions le processus de fragmentation d'objets déformables, gouttes et bulles, par un obstacle rectangulaire ou une boucle asymétrique placés dans un canal microfluidique. La deuxième partie de ce travail se consacre à des expériences menées avec des bulles et films liquides minces formés à l'aide d'eau savonneuse ou de liquides très visqueux. Après avoir revisité quelques surfaces minimales adoptées par un film de savon à l'équilibre, nous étudions divers mécanismes de formation de bulles et de bulles interfaciales. Dans ces deux parties, nos études sont menées en faisant varier de façon systématique les paramètres hydrodynamiques, physicochimiques et géométriques contrôlant chaque expérience. Nous interprétons les résultats obtenus en microfluidique à l'aide d'arguments simples basés notamment sur l'analogie électro-hydraulique aux bas nombres de Reynolds, tandis que l'analyse dimensionnelle et des lois d'échelle permettent de décrire la plupart des comportements expérimentaux des bulles et films liquides minces. / We report hydrodynamic experiments illustrating the creation, stability and rupture of either liquid/liquid or liquid/gas interfaces. First, we investigate the fragmentation of deformable objects, such as drops and bubbles, against a rectangular obstacle or at the entry node of an asymmetric loop placed in a microfluidic channel. In the second part of this work, we report experiments conducted with bubbles and thin-liquid films either made with soapy water or highly viscous fluids. After having described a few minimal surfaces sought by a soap film at equilibrium, we study a variety of mechanisms that yield the formation of bubbles and interfacial bubbles. In both parts, our investigations are conducted by systematically varying the parameters (hydrodynamic, physicochemical and geometric) controlling each experiment. We interpret microfluidic results with simple physical arguments based on the electro-hydraulic analogy at low Reynolds numbers. Experimental findings on bubbles are rationalized mostly using dimensional analysis and scaling laws.