The transfer of sparingly soluble gases across the air-water interface has significant effects on the distribution of the constituents in aquatic ecosystems. Gas-liquid transfer rate determines the flux of the sparingly soluble gases driven by the concentration difference. Considerable stream-driven gas-liquid transfer rate formulae have been developed. They have reasonable predictions in one-dimensional uniform flows. However, their applications in more complex cases such as three-dimensional flows are problematic. Furthermore, the wind effects are not incorporated into these formulae. New models need to be developed for gas-liquid transfer rate in three-dimensional flows that incorporate the effects of both wind and streamflow. In this study, first, a model of gas-liquid transfer rate in non-isotropic turbulent flows is developed. Second, a general stream-driven gas-liquid transfer rate model is developed for the normal ranges of water depth and flow velocity in natural rivers. Third, a wind-stream-driven gas-liquid transfer rate model is developed. Fourth, a model of surface renewal rate caused by turbulence from transition location of shear flows is developed. Fifth, a gas-liquid transfer rate model for wind and dynamic three-dimensional flow systems is developed. A computer program is coded and applied to various cases from simple one-dimensional uniform flow systems to complex wind and dynamic three-dimensional flow systems. A specific model can be selected from the series models for a specific application based on the application requirements and the acceptable computation complexity.

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No description available.

Diffusion of gas molecules dissolved in the liquid bulk is the problem that is rarely addressed experimentally, mainly due to a difficulty in sensing the presence of dissolved gas and quantifying its concentration. Approaches which are typically used to overcome the problem include either indirect methods (e.g. based on the gas dissolution kinetics [1]), or newly developed complicated sensing techniques [2].

The thesis involves computer simulation and theoretical studies of phase transition in soft-condensed matter systems and theoretical understanding of enzyme kinetics along with kinetic proofreading of tRNA-aminoacylation in biological systems. Based on the system and phenomena of interest, the work has be classified into the following four major parts: I. Surface phenomena and surface energy of vapor-liquid interface. II. Condensation of vapor in two and three dimensions. III. Liquid-solid phase transition in polydisperse systems. IV. Enzyme catalysis and kinetic proofreading in biosynthesis. Above mentioned four parts have further been divided into thirteen chapters. In the following we provide a brief chapter-wise outline of the thesis. Part I deals with surface tension and interfacial properties of vapor-liquid interface for Lennard-Jones (LJ) fluid in both two and three dimensions. In Chapter 1, we provide a brief overview of vapor-liquid interface and existing theoretical and computer simulation studies of surface/line tension. In this chapter we also discuss about the existing experimental studies. In Chapter 2, we present computer simulation studies of surface tension in two dimensional Lennard-Jones system. The sensitivity of line tension on range (potential cut-off) of interparticle interaction is discussed in this chapter. We present Density Functional Theory (DFT) of line tension of vapor-liquid interface based on Weeks-Chandler-Anderson (WCA) and Barker-Hendersen (BH) perturbation techniques. We compare the DFT prediction with the computer simulation results. In general, WCA approach has been found to be successful for 3D system in predicting the surface tension. In 2D, however, it does not give good agreement either for phase diagram or for the line tension. In fact, BH also does not give accurate values of the coexistence parameters, however, it predicts better line tension compared to WCA. In Chapter 3 we present both theoretical and computer simulation studies of gas-liquid surface tension for three dimensional Lennard-Jones fluid. We perform non-equilibrium computer simulation study following Transition Matrix Monte Carlo (TMMC) method to obtain surface tension for various ranges of potential and introduce a new scaling relation of surface tension in order to capture both the temperature and interparticle interaction range dependence. The scaling shows excellent agreement with the simulation result and it can also predict the critical temperature with sufficient accuracy. The width of the gas-liquid interface is found to be insensitive to the range of the potential, whereas the density separation of the bulk vapor and liquid phases increases with increasing range of potential. Thus, the major contribution comes from the increasing density separation of the bulk vapor and liquid phases. Part II consists of four chapters, where we focus on the age old problem of nucleation, from the perspective of thermodynamics and kinetics. We account for the rich history of the problem in the introductory Chapter 4. In this chapter we describe various types and examples of the nucleation phenomena, and a brief account of the major theoretical approaches used so far. We begin with the most successful Classical Nucleation Theory (CNT), and then move on to more recent applications of Density Functional Theory (DFT) and other mean-field types of models. We present various experimental techniques used in the literature to obtain rate of nucleation. We conclude with a comparison between the experiments, theories and computational studies. In the next chapter (Chapter 5) we attempt to understand the mechanism of the gas-liquid nucleation in three dimension at large metastability from microscopic point of view. Here we study the nature of sequential growth of all liquid-like clusters (not just the largest cluster) at different degrees of metastability. Therefore, we have ordered the clusters according to their decreasing sizes and identified them in terms of kth largest cluster where, k = 1 denotes the largest cluster in the system, k = 2 represents the second largest and k = 3 is the third largest and so on. We have studied both the free energies and the trajectories of the liquid-like clusters in this extended set of order parameters. We further define Fkl(n) as the free energy of the kth largest cluster with size n. Classical nucleation theory provides an expression of unconditional free energy of a single cluster, F (n) (the free energy of formation of a cluster of size n), which is an intensive property of the system. The study of our conditional free energy surfaces, Fkl(n), reveals a more detailed, microscopic picture of the system’s cluster size distribution that is necessary to understand the kinetics of nucleation and growth at large metastability. The rate of nucleation shows a cross over at kinetic spinodal (the limit of metastability, ∆F1 l = 0). Below kinetic spinodal only one (largest) cluster crosses the critical size through activation whereas above this point more than one cluster grow simultaneously through barrierless diffusion. We present a theoretical analysis of the free energy of kth largest cluster based on order statistics. The theoretical predictions are in excellent agreement with computer simulation results for the range of supersaturation we studied. While the previous chapter focuses on relatively well-studied nucleation mechanism in 3dimensional (3D) LJ system at large metastability, in Chapter 6 we present our studies on the characteristics of the nucleation phenomena in two dimensional Lennard-Jones fluid for different ranges of interparticle interaction. Using various Monte Carlo (MC) methods, we calculate the free energy barrier of nucleation and bulk densities of equilibrium liquid and vapor phases, and also investigate the size and shape of the critical nuclei. We find an interesting interplay between the range of interaction potential and the extent of metastability. The free energy barrier of nucleation strongly depends on the range of interaction potential. The study is carried out at an intermediate level of supersaturation (away from the kinetic spinodal limit). A surprisingly large cutoff (rc � 7.0�, where � is the diameter of LJ particles) in the truncation of the LJ potential is required to obtain converged results. A lower cutoff leads to a substantial deviation in the values of the nucleation barrier, and characteristics of the critical cluster (with respect to full range of interaction). We observe that in 2D system CNT fails to provide a reliable estimate of the free energy barrier. While it is known to slightly overestimate the nucleation barrier in 3D, it underestimates the barrier by � 50% at the saturation ratio S =1.1 (defined as S = P/Pc, where Pc is the coexistence pressure) and at the reduced temperature T � =0.427 (defined as T � = kBT/�, where � is the depth of the potential well). The reason for the marked inadequacy of the CNT in 2D can be attributed to the non-circular nature of the critical clusters. Although the shape becomes increasingly circular and the clusters become more compact with increase in cutoff radius, an appreciable non-circular nature remains even for full potential (without truncation) to make the predictions of CNT inaccurate. In Chapter 7 we report the computer simulation study of nucleation in three dimensional LJ system. At a fixed supersaturation the free energy barrier of nucleation increases with increasing range of interparticle interaction. On increasing range of intermolecular interaction, the kinetic spinodal where the mechanism of nucleation changes from activated barrier crossing to barrierless diffusion, shifts towards the deep metastable region. Both the critical cluster size and pre-critical minimum in the free energy surface of kth largest cluster shift towards the smaller size at their respective kinetic spinodal as we increase the range of potential. We find only a weak non-trivial (other than supersaturation and surface tension) contribution to the free energy barrier of nucleation. Part III consists of two chapters and focuses on the liquid-solid phase transition of polydisperse fluid. In Chapter 8 we introduce polydisperse systems and their classification based on different identities. We describe the importance and abundance of polydisperse system in nature. The theoretical modeling of different polydisperse systems and their extent of applicability have also been presented. We have discussed about the various factors which control the phase diagram and various phenomena related to the structure and phase transition. In Chapter 9 we present computer simulation study on freezing/melting of Lennard-Jones (LJ) fluid at different polydispersities. The freezing/melting of polydisperse LJ fluids presents an interesting case study, because, as the polydispersity increases the energy-entropy balance becomes increasingly unfavorable for the solid to exist as a stable phase. The energy of the solid increases due to build up of strain energy because of increasing mismatch in size of the neighbors, while the entropy of the liquid increases. These two factors lead to the existence of a terminal polydispersity. We find beyond the terminal ploydispersity, δ. 0.11system remains in the disorder state even at very high pressure and low temperature. The terminal polydispersity obtained in the present study is close to the experimental value (δt. ≈ 12%). Interestingly, contrary to hard sphere polydisperse fluid, LJ fluid does not exhibit reentrant melting. The last part (Part IV) of the thesis consists of three chapters that deal with the enzyme catalysis and kinetic proofreading of tRNA-aminoacyl synthetases. In Chapter 10 we describe protein synthesis process in biological system and corresponding two processes: aminoacylation of tRNA and translation of amino acid in ribosome. Our interest is to understand the enzyme catalysis involved in aminoacylation of tRNA in the process of protein synthesis. We present the classification of 20 aminoacyl-tRNA synthetases into two classes based on their structure and mode of binding to ATP and tRNA. We discuss all the steps involved in whole tRNA-aminoacylation process. Then we introduce kinetic proofreading during aminoacylation reaction. In Chapter 11 we theoretically analyze the single turn over and steady state reaction mechanism of two classes of aminoacyl-tRNA synthetases. Class I enzymes not only differ in their structure but they also differ with respect to the pre-steady kinetics compared to class II enzymes. We find that the strong binding of product to class I enzymes causes the product release step to be rate limiting step leading to the burst of product formation in pre-steady reaction. On the other hand class II enzymes do not show any burst kinetics. The present study based on time dependent probability statistics is successful in explaining all the experimental results quantitatively. In Chapter 12 we present an augmented kinetic scheme and then employ methods of time dependent probability statistics to understand the mechanism of kinetic proofreading of isoleucyl-tRNA synthetase (IRS) which belongs to class I. We investigate that the enhanced hydrolysis of wrong substrate (Val) enables IRS to discriminate the correct substrate (Ile) and wrong substrate (Val) efficiently. It has been observed that an extra CP1 editing domain serves as an activating domain towards enhanced hydrolysis of Val. The present study is able to explain most of the existing experimental observations. In the concluding note, Chapter 13 lists a few relevant problems that may prove worthwhile to be addressed in future. In the Appendices, we present two of the techniques used in our present computer simulation and theoretical studies. Appendix A describes Grand Canonical Transition Matrix Monte Carlo (GC-TMMC) method which is employed in computer simulation studies of nucleation and surface tension. In Appendix B we present the probabilistic method of waiting time distribution computation used in enzyme catalysis and kinetic proofreading.

The Onsager heat of transport for p-tert-butyltoluene was measured, as part of a series of preliminary experiments towards the determination of the importance of temperature gradients on the air-sea flux of carbon dioxide. The results presented in this thesis imply that the temperature gradient is a major contributor to the magnitude of the air-sea flux. The heat of transport has been measured for the p-tert-butyltoluene system by measuring stationary-state pressure changes for known temperature differences on the vapour side of the interface. At the pressure ranges used the number of mean free paths was always outside the Knudsen zone, but the values of Q* were approximately 100 % of the latent heat of vaporisation. Departures from linearity of plots of P against ΔT are attributed to temperature jumps at the surface of the dry upper plate. Both the results taken for p-tert-butyltoluene and the earlier results for water from this laboratory fit to a Type III BET isotherm, where the c parameter is not constant. They also reveal the importance of the temperature gradient in determining the value of the thermal accommodation coefficient, and provide a new method of measuring thermal accommodation coefficients for a variety of surfaces and vapours

O trabalho apresenta uma investigação sobre a influência da umidade atmosférica no processo de absorção de oxigênio atmosférico por corpo de água através de sua superfície líquida livre. Os experimentos realizados em laboratório consistem na reoxigenação de uma massa de água, contida em um tanque cilíndrico, submetida à agitação mecânica. A atmosfera que reabastece de oxigênio a massa líquida é controlada e os ensaios são conduzidos com vários níveis de umidade do ar, o que provoca diferentes taxas de evaporação. Simultaneamente, determinam-se os coeficientes de reoxigenação, K2 (h-1), em cada experimento. Investiga-se neste trabalho a correlação entre esses dois parâmetros. O processo de reoxigenação é analisado inicialmente com o uso de metodologia clássica baseada em modelos matemáticos tradicionais (possivelmente inadequados). Propõe-se neste trabalho, um modelo original para essa mesma análise. / The influence of the atmospheric humidity on the process of absorption of oxygen by a water body through its free surface is presented herein. Laboratory experiments were run for the reoxygenation of a water mass kept in a cylindrical vessel under mechanical agitation. The quality of the atmospheric air transferring oxygen to water is controlled and the tests are run with several levels of air humidity, what renders different rates of evaporation. The corresponding coefficients of reaeration K2 (h-1) are determined for each experiment. The correlation between these two latter parameters is investigated. The process of reoxygenation is analyzed initially using a classical methodology based on traditional mathematical models (possibly inadequate). An original model for the same analysis is proposed in this work.

Em inúmeras aplicações práticas da engenharia a camada interfacial entre dois fluidos é de extrema importância para a correta caracterização do escoamento. Especificamente na Engenharia Ambiental e Hidráulica na interface entre o ar e a água existem propriedades capazes de relacionar a aeração e oxigenação. Focado na dinâmica dos processos turbulentos, o estudo proposto se aplica a problemas de sub-pressão em vertedores e visa analisar a troca de gases da interface ar-água em situações de fases dispersas e avaliar a qualidade da água a jusante dos mesmos. O objetivo maior é descrever a relação entre o comportamento da superfície da água, o desenvolvimento da camada limite e os regimes de escoamento de acordo com a vazão volumétrica. Para representar a distribuição da fração de vazios da fase dispersa, foram usados os princípios da formulação dos escoamentos em vertedores escalonados e da formulação para enlaçamento de ar. As argumentações e justificativas das formulações propostas para os perfis de concentrações foram baseadas na distribuição da fração de vazios prevista numericamente. A abordagem numérica do problema fluidodinâmico diferencia da maioria dos estudos concentrados na literatura, por estar baseada na quebra da superfície livre. / In many pratical aplications of engineering the interfacial layer between two fluids has a strong relevance in the process of right measurements of the flow. Espeficically in the enviromental and hydraulics engineering the interface between air and water is the property related with oxigen and areation of the flow. With focus on the dynamics of the turbulent processes, the proposed study is applied to sub-pressure problems in spillways. It investigates the gases exchange in the air- water interface in the dispersed phase and evaluate the water quality downstream. The major goal is to describe a relation between the boundary layer development and the flow regimes with discharge. To represent the distribution of void fractions of the dispersed phase, the physical formulation concepts of stepped spillways and entrapped air were used. The arguments and reasons to justify the proposed concentration profile formulation are based on the numerical provided void fraction distribution. The results as well as the physical model are in good agrement with described literature data. The Numerical approach of the fluid dynamics problem differs from major of described literature studies because it is based on the surface breakup.

L’épuration est une solution attractive pour la valorisation du biogaz. Néanmoins, les coûts associés à ces procédés constituent un frein au développement, en particulier pour l’épuration du biogaz d’origine agricole.Ces travaux ont évalué le contacteur à membranes, technologie issue du poumon artificiel, pour le développement d’un procédé d’absorption physique, robuste et répondant aux exigences de la filière. Un pilote expérimental modulaire (150-880 NL/h biogaz) a permis d’investiguer les performances du procédé en termes de rendement méthane R_CH4 et de qualité méthane y_CH4,out.Le contacteur à membranes permet de produire un biométhane répondant aux spécifications de l’injection réseau. Les paramètres opératoires clés ont été mis en évidence par un plan d’expérience. Parmi les limites connues du procédé, l’effet de l’humidification de la membrane sur le débit d’absorption du CO2 reste limité (< 10.5%) : une nouvelle description de l’humidification des pores a été proposée. La composition du gaz est plus limitante : le coefficient de transfert du CO2 est divisé par un facteur 2-3 lorsque celui-ci est présent en mélange plutôt qu’en gaz pur. Plusieurs configurations et solvants ont été testés pour améliorer les performances. L’intégration d’une boucle de recyclage et le remplacement de l’eau par une solution de sels (KCl) ont permis de déployer un procédé breveté atteignant les performances visées (R_CH4=98.7%, y_CH4,out=97.5%) : le flux membranaire est de 42 NL/m2/h CO2.En vue d’un dimensionnement industriel, un modèle original de transfert a été développé pour intégrer la géométrie interne spécifique du module membranaire. Optimisé et validé pour l’absorption de CO2 pur, cet outil numérique a nécessité l’optimisation d’une correction additionnelle inspirée des lois de diffusion pour décrire la limite observée en présence d’un mélange de gaz.Une mise à l’échelle est proposée pour 3 unités industrielles (100, 250 et 500 Nm3/h biogaz) sur la base des équipements disponibles. Les dimensionnements obtenus par analyse dimensionnelle ou par modélisation numérique diffèrent de 25 à 40 % et doivent encore être validés. / Upgrading is an attractive pathway for biogas utilization. Yet, the costs associated to these processes are still an obstacle to a widespread development, specifically in the case of farm anaerobic digestion units.This PhD has assessed membrane contactor, a technology derived from the artificial lung, for the development of a robust gas-liquid physical absorption process meeting the biogas industry expectations. A modular experimental pilot (150-880 NL/h biogas) was designed to investigate the performances in terms of methane recovery R_CH4 and methane quality y_CH4,out.The membrane contactor technology turned out to be suitable to produce a gas-grid quality biomethane. Key operating parameters were identified through a Design of Experiments. Among known process limitations, membrane wetting was found to have little influence on CO2 absorption (< 10.5%): a new pore wetting description was suggested. Gas composition was a stronger limitation: the CO2 mass transfer coefficient was divided by a factor 2-3 in the presence of a gas mixture instead of as a pure gas.Process configurations and solvents were successively tested to improve the performances. The addition of a methane recycling loop and the replacement of water by a saline solution (KCl) were combined into a patent and reached the targeted performances (R_CH4=98.7%, y_CH4,out=97.5%): the corresponding absorbed flux is 42 NL/m2/h CO2.For a process upscaling purpose, an original mass transfer model was developed to describe the specific internal geometry of the membrane module. Firstly optimized and validated for the absorption of pure CO2, this numerical tool has required an optimized additional correction inspired from diffusion laws to account for the mass transfer limitation observed for a binary gas mixture.Process designs are suggested for 3 industrial cases (100, 250 and 500 Nm3/h biogas) based on an available membrane contactor range. The process sizings resulting from the dimensional analysis methodology or numerical simulation differ from 25 to 40 % and must then be confirmed.

Em inúmeras aplicações práticas da engenharia a camada interfacial entre dois fluidos é de extrema importância para a correta caracterização do escoamento. Especificamente na Engenharia Ambiental e Hidráulica na interface entre o ar e a água existem propriedades capazes de relacionar a aeração e oxigenação. Focado na dinâmica dos processos turbulentos, o estudo proposto se aplica a problemas de sub-pressão em vertedores e visa analisar a troca de gases da interface ar-água em situações de fases dispersas e avaliar a qualidade da água a jusante dos mesmos. O objetivo maior é descrever a relação entre o comportamento da superfície da água, o desenvolvimento da camada limite e os regimes de escoamento de acordo com a vazão volumétrica. Para representar a distribuição da fração de vazios da fase dispersa, foram usados os princípios da formulação dos escoamentos em vertedores escalonados e da formulação para enlaçamento de ar. As argumentações e justificativas das formulações propostas para os perfis de concentrações foram baseadas na distribuição da fração de vazios prevista numericamente. A abordagem numérica do problema fluidodinâmico diferencia da maioria dos estudos concentrados na literatura, por estar baseada na quebra da superfície livre. / In many pratical aplications of engineering the interfacial layer between two fluids has a strong relevance in the process of right measurements of the flow. Espeficically in the enviromental and hydraulics engineering the interface between air and water is the property related with oxigen and areation of the flow. With focus on the dynamics of the turbulent processes, the proposed study is applied to sub-pressure problems in spillways. It investigates the gases exchange in the air- water interface in the dispersed phase and evaluate the water quality downstream. The major goal is to describe a relation between the boundary layer development and the flow regimes with discharge. To represent the distribution of void fractions of the dispersed phase, the physical formulation concepts of stepped spillways and entrapped air were used. The arguments and reasons to justify the proposed concentration profile formulation are based on the numerical provided void fraction distribution. The results as well as the physical model are in good agrement with described literature data. The Numerical approach of the fluid dynamics problem differs from major of described literature studies because it is based on the surface breakup.