京都大学 / 新制・課程博士 / 博士(工学) / 甲第24618号 / 工博第5124号 / 新制||工||1979(附属図書館) / 京都大学大学院工学研究科電気工学専攻 / (主査)教授 大村 善治, 教授 松尾 哲司, 教授 小嶋 浩嗣 / 学位規則第4条第1項該当 / Doctor of Philosophy (Engineering) / Kyoto University / DFAM

This thesis presents models and simulations of dielectrophoretic separation of micro and nano particles. The fluid dynamics involved and the dielectric properties of water inside single-walled carbon nanotube are studied as well. Based on the effective dipole moment method, the particle dynamic model focuses on the translational motions of micro particles. The hydrodynamic force between the particles and the particle-particle electrostatic interactions are considered as well. By comparing the dimensionless parameters, the dominating force can be determined. Based on a simplified version of the particle dynamic model, two numerical simulations are carried out to predict the efficiency of dielectrophoretic separation of micro size particles. The first calculation suggests a strategy to improve the trapping efficiency of E.coli bacteria by applying superimposed AC electric fields. The second calculation discusses the concept of mobility and improves the separation rate of particles by a multi-step trapping-releasing dielectrophoresis strategy. The model is extended down scale to calculate the separation of metallic and semiconducting single-walled carbon nanotubes by the modified effective dipole moment method for prolate ellipsoids. The steeply changed gradient of electric field results in the local joule heating therefore creates gradient of dielectric properties in the solution. As a result, certain pattern of fluid flow with a considerable strength is created and affects the motion of carbon nanotubes especially close to the electrode gap, which indicates that the so-called electrothermal flow should be considered in designing the experiment to separate single-walled carbon canotubes. When the length scale of particles is comparable to that of the electrodes, the calculation of dielectrophoretic force by the effective dipole moment is considered not to be accurate since only the electric field in the center point is taken into account. Hence in the thesis a new method based on distributed induced charge is suggested. By approximating a straight slender body as a prolate ellipsoid, the electric field of multiple points along the centerline are all considered in the calculation and the interaction between particles could be concurrently taken care. This method is expected to be an improved method to calculate the dielectrophoretic force of rod-like virus, DNA, nanowires and carbon nanotubes. The dielectric property of water confined in carbon nanotubes is expected to be dramatically different from that of bulk water. The thesis also contains a molecular dynamics study to reveal the difference also a dependence on the diameter of carbon nanotubes. The results show that along the axial direction, both the static permittivity and the relaxation time are larger than the isotropic bulk water, and in the cross-section plane it is opposite. When the radius of the carbon nanotubes increases, the properties of water inside become closer to the bulk water. / QC 20100820

In this dissertation, an experimental and numerical study of dense coarse solids-liquid flows has been performed. The experimental work mainly involved pressure drop measurements in a vertical flow loop. A limited number of measurements of solids velocity profiles were also obtained in the upward flow section of the flow loop. The numerical work involved simulations of coarse particles-in-water flows in vertical and horizontal pipes. The vertical flow simulations were performed using the commercial CFD software, ANSYS CFX-4.4, while ANSYS CFX-10 was used to simulate the flows in the horizontal pipes. The simulations were performed to investigate the applicability of current physically-based models to very dense coarse-particle flows.<p> In the experimental study, measurements of pressure drop and local solids velocity profiles were obtained. The experiments were conducted in a 53 mm diameter vertical flow loop using glass beads of 0.5 mm and 2.0 mm diameter solids for concentration up to 45%. The liquid phase was water. The measured pressure drop exhibited the expected dependence on bulk velocity and solids mean concentration. The wall shear stress was determined by subtracting the gravitational contribution from the measured pressure drop. For flow with the 0.5 mm particles at high bulk velocities, the values of the wall shear stress were essentially similar for each concentration in the upward flow sections but more variation, indicating the effect of concentration, was noted in the downward flow section. At lower bulk velocities, the wall shear stresses with the 0.5 mm glass beads-water flow showed a dependence on concentration in both test sections. This was attributed to an increase in the slip velocity. For the large particle (2.0 mm glass beads), similar observations were made but the effect of concentration was much less in the upward test section. In the downward test section, the wall shear stress for the flow of the 2.0 mm glass beads increased by almost a constant value for the bulk velocities investigated. The solids velocity profiles showed that the solids velocity gradient is large close to the wall. In addition, the solids velocity profiles indicated that the slip velocity increased at lower velocities due to increase in the bulk concentration in the upward flow section.<p> For the vertical flow simulations, different physical models based on the kinetic theory of granular flows were programmed and implemented in ANSYS CFX-4.4. These models, referred to as the kf-ef-ks-es, kf-ef-ks-es-Ts and kf-ef-ks-kfs models, were investigated by focusing on the closure laws for the solids-phase stress. The treatment of the granular temperature Ts depends on whether small- or large-scale fluctuating motion of the particles is considered. The models were implemented via user-Fortran routines. The predicted results were compared with available experimental results. The predicted solids-phase velocity profiles matched the measured data quite well close to the pipe wall but over-predicted it in the core region. The solids concentration, on the other hand, was significantly under-predicted for concentrations higher than 10%. Variations in the predictions of the phasic turbulent kinetic energy and the eddy viscosity were noted; the effect of solids concentration on them was mixed. A general conclusion drawn from the work is that a more accurate model is required for accurate and consistent prediction of coarse particle flows at high concentrations (less than 10%). In a related study, attention was given to wall boundary conditions again focusing on the effect of the solids-phase models at the wall. Comparison between numerical predictions, using some of the existing wall boundary condition models for the solids phase in particulate flows, with experimental results indicated that the physical understanding of the influence of the fluid and solids-phase on each other and their effect on frictional head loss is far from complete. The models investigated failed to reproduce the experimental results. At high solids concentration, it was apparent from the present study that the no-slip and free-slip wall boundary conditions are not appropriate for liquid-solid flows.<p> For the horizontal flow case, three-dimensional simulations were performed with a focus on the velocity and concentration distributions. Medium and coarse sand-in-water flows in three pipe diameters were considered to investigate the default solids stress models in ANSYS CFX-10. Simulations were performed for three cases by considering: 1) no additional solids-phase stress, i.e. no model for Ts; 2) a zero equation, and 3) an algebraic equilibrium model for the granular temperature. The model predictions were compared to experimental results. The effect of particle size, solids-phase concentration, and pipe diameter was explored using the algebraic equilibrium model. All the cases for the models considered exhibited the characteristic features of horizontal coarse particle slurry flows. The zero equation and the algebraic equilibrium model for the granular temperature produced similar results that were not significantly different from the prediction obtained when no solids-phase stress was considered. The comparison with experimental results was mixed. Locally, the measured solids-phase velocity distributions were over-predicted, whereas the solids concentration was reasonably reproduced in the core of all the pipes. The concentration at the bottom and top walls were over-, and under-predicted, respectively. This was attributed to the inappropriate phasic wall boundary condition models available.

In this dissertation, an experimental and numerical study of dense coarse solids-liquid flows has been performed. The experimental work mainly involved pressure drop measurements in a vertical flow loop. A limited number of measurements of solids velocity profiles were also obtained in the upward flow section of the flow loop. The numerical work involved simulations of coarse particles-in-water flows in vertical and horizontal pipes. The vertical flow simulations were performed using the commercial CFD software, ANSYS CFX-4.4, while ANSYS CFX-10 was used to simulate the flows in the horizontal pipes. The simulations were performed to investigate the applicability of current physically-based models to very dense coarse-particle flows.<p> In the experimental study, measurements of pressure drop and local solids velocity profiles were obtained. The experiments were conducted in a 53 mm diameter vertical flow loop using glass beads of 0.5 mm and 2.0 mm diameter solids for concentration up to 45%. The liquid phase was water. The measured pressure drop exhibited the expected dependence on bulk velocity and solids mean concentration. The wall shear stress was determined by subtracting the gravitational contribution from the measured pressure drop. For flow with the 0.5 mm particles at high bulk velocities, the values of the wall shear stress were essentially similar for each concentration in the upward flow sections but more variation, indicating the effect of concentration, was noted in the downward flow section. At lower bulk velocities, the wall shear stresses with the 0.5 mm glass beads-water flow showed a dependence on concentration in both test sections. This was attributed to an increase in the slip velocity. For the large particle (2.0 mm glass beads), similar observations were made but the effect of concentration was much less in the upward test section. In the downward test section, the wall shear stress for the flow of the 2.0 mm glass beads increased by almost a constant value for the bulk velocities investigated. The solids velocity profiles showed that the solids velocity gradient is large close to the wall. In addition, the solids velocity profiles indicated that the slip velocity increased at lower velocities due to increase in the bulk concentration in the upward flow section.<p> For the vertical flow simulations, different physical models based on the kinetic theory of granular flows were programmed and implemented in ANSYS CFX-4.4. These models, referred to as the kf-ef-ks-es, kf-ef-ks-es-Ts and kf-ef-ks-kfs models, were investigated by focusing on the closure laws for the solids-phase stress. The treatment of the granular temperature Ts depends on whether small- or large-scale fluctuating motion of the particles is considered. The models were implemented via user-Fortran routines. The predicted results were compared with available experimental results. The predicted solids-phase velocity profiles matched the measured data quite well close to the pipe wall but over-predicted it in the core region. The solids concentration, on the other hand, was significantly under-predicted for concentrations higher than 10%. Variations in the predictions of the phasic turbulent kinetic energy and the eddy viscosity were noted; the effect of solids concentration on them was mixed. A general conclusion drawn from the work is that a more accurate model is required for accurate and consistent prediction of coarse particle flows at high concentrations (less than 10%). In a related study, attention was given to wall boundary conditions again focusing on the effect of the solids-phase models at the wall. Comparison between numerical predictions, using some of the existing wall boundary condition models for the solids phase in particulate flows, with experimental results indicated that the physical understanding of the influence of the fluid and solids-phase on each other and their effect on frictional head loss is far from complete. The models investigated failed to reproduce the experimental results. At high solids concentration, it was apparent from the present study that the no-slip and free-slip wall boundary conditions are not appropriate for liquid-solid flows.<p> For the horizontal flow case, three-dimensional simulations were performed with a focus on the velocity and concentration distributions. Medium and coarse sand-in-water flows in three pipe diameters were considered to investigate the default solids stress models in ANSYS CFX-10. Simulations were performed for three cases by considering: 1) no additional solids-phase stress, i.e. no model for Ts; 2) a zero equation, and 3) an algebraic equilibrium model for the granular temperature. The model predictions were compared to experimental results. The effect of particle size, solids-phase concentration, and pipe diameter was explored using the algebraic equilibrium model. All the cases for the models considered exhibited the characteristic features of horizontal coarse particle slurry flows. The zero equation and the algebraic equilibrium model for the granular temperature produced similar results that were not significantly different from the prediction obtained when no solids-phase stress was considered. The comparison with experimental results was mixed. Locally, the measured solids-phase velocity distributions were over-predicted, whereas the solids concentration was reasonably reproduced in the core of all the pipes. The concentration at the bottom and top walls were over-, and under-predicted, respectively. This was attributed to the inappropriate phasic wall boundary condition models available.

<p>We investigate the dielectrophoretic separation of microparticles. Two different models are formulated in two characteristic time scales. The first model mainly accounts for the orientation behavior and rotational motion of non-spheric microparticles. The concept of effective charge is suggested to calculate the finite size non-spheric particles. It is combined with the fluid particle dynamics method to calculate hydrodynamic as well as dielectrophoretic forces and torques. The translational motion and the particle-particle interaction are calculated also, but they take much longer time to be observed due to the different time scales of the rotational and translational motions By viewing the particle as spheres, the second model focus on the translational motion of spheres. The hydrodynamic force between particles and particle-particle electrostatic interactions are also taken into account. We check the relative magnitude ratio between these forces in order to determine the importance of these forces. To predict and guide the design of experimental dielectrophoretic separation, two numerical applications are carried out. The first calculation suggests optimum patterns to improve the trapping efficiency of<em> E.coli.</em> cells by applying superimposed AC electric fields. The second calculation finds out the mobility and separation rate of particles which differs in size and electric properties by a multi-step trapping-releasing strategy.</p>

Lecithin wird unter anderem zur Steuerung der rheologischen Eigenschaften von Lebensmittelsuspensionen wie zum Beispiel Schokolade eingesetzt. In erster Linie findet dabei Sojalecithin Verwendung, wogegen die Wirkungen von Lecithinen aus Sonnenblumen oder Raps unzureichend dokumentiert sind. Anhand von Untersuchungen an Modellsuspensionen werden Wirkungsbeziehungen von Lecithin auf mikrostruktureller Ebene beleuchtet, um Ursachen für dessen Funktionalität in ölbasierten Suspensionen abzuleiten. Darüber hinaus erfolgt ein Vergleich der Wirkung von Soja-, Raps- und Sonnenblumenlecithin auf rheologische, sensorische und morphologische Eigenschaften von Schokolade. Rheologische Untersuchungen an Zucker/Öl- und Glaskugel/Öl-Suspensionen verdeutlichen den Einfluss der Suspensionsbestandteile auf die Wirkung von Lecithin in ölbasierten Suspensionen. Sedimentationsanalysen an Zucker/Öl-Suspensionen zeigen, dass die Reduktion der rheologischen Parameter mit der Senkung des Sedimentvolumens und einer verstärkt polydispersen Sedimentation einhergeht. Glaskugel/Öl-Suspensionen bilden im Vergleich zu Zucker/Öl-Suspensionen ein deutlich kompakteres Sediment, was auf geringer ausgeprägte Interaktionen zwischen den Glaspartikeln hindeutet und durch Untersuchungen mittels Rasterkraftmikroskop bestätigt wird. Die Anreicherung des Dispersionsmediums mit Lecithin führt zur Adsorption von grenzflächenaktiven Molekülen an der fest/flüssig-Grenzfläche und reduziert die adhäsiven Kräfte zwischen Zuckeroberflächen. In Zucker/Sojaöl-Suspensionen zeigen die Phospholipide Phosphatidsäure, Phosphatidylcholin und Phosphatidylethanolamin im Vergleich zu Sojalecithin eine geringer ausgeprägte Funktionalität bei kleinen Phospholipidkonzentrationen. Soja-, Raps- und Sonnenblumenlecithine besitzen in dunkler und in milchhaltiger Schokoladenmasse lediglich hinsichtlich ihrer Wirkung auf die Fließgrenze leichte Unterschiede. Die Präparate zeigen keine verallgemeinerbaren Wirkunterschiede auf die Fettkristallmorphologie und die Textur von gelagerter dunkler und milchhaltiger Schokolade. Des Weiteren lassen sensorische Untersuchungen keine signifikant ausgeprägte Präferenz für dunkle oder milchhaltige Schokolade erkennen, wenn die Probe mit Soja-, Raps- oder Sonnenblumenlecithin versetzt wird. Die Ergebnisse zeigen, dass die Reduktion der adhäsiven Kräfte zwischen Zuckerpartikeln eine Ursache für die Senkung der rheologischen Parameter und des Sedimentvolumens von Zucker/Öl-Suspensionen darstellt. Außerdem ist zu erkennen, dass bei geringen Phospholipidkonzentrationen synergetische Effekte zwischen unterschiedlichen grenzflächenaktiven Substanzen zu einem Anstieg der Funktionalität des eingesetzten Präparates führen können. Darüber hinaus ist festzustellen, dass Soja-, Raps- und Sonnenblumenlecithin die rheologischen, sensorischen und morphologischen Eigenschaften von Schokolade in gleichem Maß beeinflussen. / Lecithin is used in the food industry, for example to control the rheological properties of oil-based suspensions, such as chocolate. First and foremost, soybean lecithin is used, whereas the effects of possible alternatives, such as lecithin from sunflower or canola, are still insufficient documented. On the basis of model suspensions the effect of lecithin on the microstructural level will be investigated to derive causes of the functionality of the surfactant in oil-based suspensions. Additionally, a comparison is made regarding the effects of soybean lecithin, canola lecithin and sunflower lecithin on the rheological and morphological properties as well as on sensory characteristics of chocolate. Rheological studies illustrate the influence of the suspension components to the action of lecithin in oil-based suspensions. While, in sugar/oil-suspensions, lecithin reduces apparent viscosity and yield stress, the effect of the surfactant in glass sphere/oil-suspensions depends on the dispersion medium. Sedimentation analyses of sugar/oil-suspensions show that the reduction of the rheological parameters coincides with the reduction of the sediment volume and an increased polydisperse sedimentation. The sediment of glass sphere/oil-suspensions is more compact in comparison to sugar/oil-suspensions, indicating less pronounced interactions between glass spheres. Investigations using atomic force microscopy show the less pronounced interactions between glass spheres. While interactions (adhesive forces) are detectable between sugar surfaces dispersed in oil, no interactions can be determined between glass surfaces. The enrichment of the dispersion medium with lecithin results in the adsorption of the surfactants at the sugar surface and reduces the adhesive forces. In sugar/soybean oil suspensions and at low phospholipid concentrations the results indicate a less pronounced functionality of the individual phospholipids, phosphatidylcholine, phosphatidylethanolamine and phosphatidic acid in comparison to soybean lecithin. In dark chocolate and milk chocolate soybean lecithin, canola lecithin and sunflower lecithin reduces apparent viscosity at low to medium shear rate in the same way. In contrast, small differences in terms of their effect on the yield stress are observed. The lecithins do not show differences regarding their impact on fat crystal morphology and texture of stored dark chocolate and milk chocolate. Furthermore, in sensory studies, no significant preference differences were detectable in case of dark chocolate or milk chocolate containing soybean lecithin, canola lecithin or sunflower lecithin. The results show that the reduction of the adhesive forces between sugar particles causes the reduction of rheological parameters and the sediment volume of sugar/oil-suspensions. Furthermore, at low phospholipid concentrations possible synergistic effects between different surfactants can lead to an increase of the functionality of suractants. Additionally it can be concluded that soybean lecithin, canola lecithin and sunflower lecithin affect the rheological and morphological properties as well as the sensory characteristics of chocolate in equal measure.

Recent experiments revealed micrometer (µm)-sized Selenium (Se)-doped Germanium (Ge) particles forming a network of inactive phase (Li-Ge-Se) bring superior performance in cycling stability and capacity over un-doped Ge particles. Therefore, based on two states of Li (one for diffusion and another for alloyed reaction), a phaseield model (PFM) is developed incorporating both chemical reaction and Li diffusion to investigate remaining elusive underpinning mechanism. The reaction-diffusion PFM enables us to directly determine the conditions under which the lithiation process is diffusion- and/or reaction-controlled. Moreover, coupling the elasto-plastic deformation, the model allows us to investigate the role of the inactive phase in morphology and stress variation of Se-doped Ge electrode upon lithiation. The numerical results reveal that the tensile hoop stress at the surface of the particles is significantly suppressed due to softness of the inactive Li-Ge-Se phase, in line with the experimental observation of surface fractureree behavior. Further, we find that the soft Li-Ge-Se phase reduces a compressive mean stress at the reaction front, thus alleviating the stress retardation effect on the lithiation kinetics. And, the high Li diffusivity of the amorphous Li-Ge-Se network provides an effective Li diffusion path for inter-particle diffusion, reducing stress difference between the surfaces of neighboring particles. Besides, the constraint between the adjacent particles induces a higher compressive stress at the reaction front impeding the mobile Li insertion during lithiation. Though small c-Ge nano-particle in the Ge0.9Se0.1 microparticle is lithiated faster than large one, the compressive stress is generated at the center of small one for stress equilibrium which causes more retardation effect. Meanwhile, the size difference between adjacent particles increases the principle and shear stresses in the inactive Li-Ge-Se network near adjacent surfaces, which could potentially lead to mechanical failure and debonding of the amorphous network. We believe that the results of this investigation can shed some light on the optimization design of electrodes.

We investigate the dielectrophoretic separation of microparticles. Two different models are formulated in two characteristic time scales. The first model mainly accounts for the orientation behavior and rotational motion of non-spheric microparticles. The concept of effective charge is suggested to calculate the finite size non-spheric particles. It is combined with the fluid particle dynamics method to calculate hydrodynamic as well as dielectrophoretic forces and torques. The translational motion and the particle-particle interaction are calculated also, but they take much longer time to be observed due to the different time scales of the rotational and translational motions By viewing the particle as spheres, the second model focus on the translational motion of spheres. The hydrodynamic force between particles and particle-particle electrostatic interactions are also taken into account. We check the relative magnitude ratio between these forces in order to determine the importance of these forces. To predict and guide the design of experimental dielectrophoretic separation, two numerical applications are carried out. The first calculation suggests optimum patterns to improve the trapping efficiency of E.coli. cells by applying superimposed AC electric fields. The second calculation finds out the mobility and separation rate of particles which differs in size and electric properties by a multi-step trapping-releasing strategy. / QC 20101118

L'interaction onde-particule dans les plasma est un sujet de recherche important, pour la compréhension des phénomènes physiques fondamentaux comme pour l'opération de réacteurs à fusion tels que les tokamaks. Cette intéraction peut être responsable de l'existence de modes instables, comme l'instabilité "fishbone" dans les plasmas de tokamak. Celle-ci est causée par l'interaction résonante entre un mode vivant dans la plasma et une population de particules supra-thermiques. Cette instabilité cause l'éjection d'une partie de ces particules énergétiques. Elle est par ailleurs caractérisée par une diminution de sa fréquence durant son évolution. Dans cette thèse, un modèle pour l'instabilité "fishbone", décrivant le plasma thérmique avec un traitement fluide et les particlules énergétiques avec un traitement cinétique, est développé. Ce modèle est simplifié de manière à permettre la compréhension des mécanismes les plus basiques qui causent la destabilisation du mode, sa diminution en fréquence durant son évolution ainsi que l'éjection de particules qu'il engendre. La théorie linéaire de ce modèle est faite, montrant les conditions qui permettent l'existence de l'instabilité, et permettant la caractérisation de son comportement linéaire. Les résultats analytiques sont ensuite comparés aux résultats linéaires numériques, obtenus grâce à un code développé durant cette thèse et basé sur les hypothèses du modèle, et ils sont en accord. Enfin, ce code est utilisé pour explorer le comportement non linéaire des particules énergétiques. Le mécanisme principalement responsable du changement de fréquence du mode ainsi que de l'éjection des particules est identifié et étudié en detail. / The wave-particle interaction in plasmas is an important research subject, for fundamental physical understanding as well as for the operation of fusion devices such as tokamaks. This interaction can cause the existence of unstable modes, such as the fishbone instability that is observed in tokamak plasmas. It results from the resonant interaction between an electro-magnetic wave living in the plasma and a population of supra-thermal particles. This mode causes the ejection of a portion of these energetic particles, and is thus detrimental to the confinment of energy in a tokamak, and it is characterized by a frequency down-chirping, i.e. a decrease of frequency of the mode during its evolution. In this thesis, a model for the fishbone instability is developed, that describes the thermal plasma with fluid equations and the supra-thermal particles with the kinetic Vlasov equation. This model is highly simplified in order to understand the basic mechanisms leading to destabilization, frequency chirping, and particle ejection. The linear theory of this model is then done, showing the conditions that lead to the existence of an instability, and that allow the characterization of its linear behavior. The linear analytic results are then compared to numerical linear results obtained with a code, based on the assumptions of the model, that was developed during this PhD and the results are found to be in good agreement. Finally, the code is used to explore the nonlinear behavior of energetic particles in the later phase of the fishbone instability. The main mechanism responsible for the frequency chirping and energetic particle ejection is identified and studied in detail.

Nesta tese é analisada a dinâmica de uma partícula relativística se movendo sob a influência de um campo magnético uniforme e uma onda eletrostática e estacionária dada na forma de pulsos periódicos. O mapa que descreve a evolução temporal do sistema é explícito e pode ser considerado como uma versão relativística e magnetizada do mapa padrão clássico. A posição aproximada dos pontos periódicos é calculada analiticamente e com essa informação é possível estudar as ressonâncias primárias. Para o sistema em estudo, observa-se que a maior parte das ressonâncias possui mais de uma cadeia de ilhas. Isso ocorre pois o sistema apresenta um número infinito de termos ressonantes com o mesmo número de rotação e que podem gerar ilhas na mesma posição do espaço de fases. Verifica-se que essa superposição de termos ressonantes faz com que o número de cadeias varie em função dos parâmetros da onda. Para valores de período ou número de onda suficientemente elevados, todas as ressonâncias primárias apresentam duas ou mais cadeias de ilhas no espaço de fases. As ilhas de ressonância primária são utilizadas nesta tese para acelerar partículas de forma regular. Em particular, considera-se a ressonância principal do sistema, para a qual a energia inicial da partícula pode estar muito próxima de sua energia de repouso se os parâmetros da onda forem adequados. Além disso, aplica-se um método de controle do caos para Hamiltonianas quase integráveis que consiste na adição de um termo de controle simples e com baixa amplitude ao sistema. Esse termo de controle cria toros invariantes em todo o espaço de fases que confinam as trajetórias caóticas em pequenas regiões, tornando a dinâmica controlada mais regular. Verifica-se numericamente que o termo de controle reduz drasticamente as regiões caóticas. Além disso, observa-se que o controle do caos e a consequente recuperação de trajetórias periódicas e quase periódicas no espaço de fases podem ser utilizados para melhorar o processo de aceleração regular de partículas. / In this thesis, we analyze the dynamics of a relativistic particle moving under the influence of a uniform magnetic field and a stationary electrostatic wave given as a series of periodic pulses. The map that describes the time evolution of the system is explicit, and it can be considered as a magnetized relativistic version of the classical standard map. We calculate analytically the approximate position of the periodic points and we use this information to study the primary resonances. For the system under study, we observe that most of its resonances exhibit more than one island chain. It occurs because the system presents an infinite number of resonant terms with the same winding number that may generate islands in the same position of phase space. We verify that this superposition of resonant terms makes the number of chains vary as a function of the parameters of the wave. For sufficiently large values of the wave period or wave number, all the primary resonances present two or more island chains in phase space. We use the islands of primary resonances in this thesis to regularly accelerate particles. In particular, we consider the main resonance of the system, for which the initial energy of the particle can be very close to its rest energy if the parameters of the wave are adequate. Furthermore, we apply a method of control of chaos for near-integrable Hamiltonians that consists in the addition of a simple control term with low amplitude to the system. This control term creates invariant tori in the whole phase space that confine the chaotic trajectories to small regions, making the controlled dynamics more regular. We verify numerically that the control term drastically reduces the chaotic regions. Moreover, we observe that the control of chaos and the consequent recovery of periodic and quasiperiodic trajectories in phase space can be used to improve the process of regular particle acceleration.