Corona discharge is one of the crucial problems related with high-voltage equipment. This paper focuses on the physical and numerical modelling of corona discharge in an Electrostatic precipitator (ESP). The model is based on Maxwells equations and the Finite element method (FEM) and is implemented with the COMSOL Multiphysics software.The simulation allows studying the electric charge distribution and the behaviour of the electric field inside the ESP. The work is focused primarily on time-dependent studies of the corona discharge.

Os biopolímeros comestíveis, tais como amido e alginato, podem ser utilizados na formulação de géis com elevada capacidade de retenção de água. A secagem convectiva pode ser utilizada para a remoção da umidade em géis. Os parâmetros da secagem (temperatura, velocidade do ar e umidade de equilíbrio) necessitam ser monitorados para a produção de um sólido seco e sem degradação de compostos ativos. A modelagem matemática da secagem pelo método numérico de elementos finitos em COMSOL Multiphysics tem sido utilizada para simular a secagem, usando um número reduzido de ensaios experimentais. Este trabalho teve como objetivo o desenvolvimento de modelos analíticos e numéricos para predizer a umidade e tamanho de fatias de géis de amido de milho e alginato de cálcio durante a secagem convectiva. O acoplamento entre a transferência de massa e encolhimento das fatias durante a secagem foi simulado e a difusividade mássica efetiva foi obtida pelo ajuste não linear aos dados experimentais. Três modelos foram utilizados como estudos de caso: A secagem de géis contendo 60% de água e 5.4% de amido gelatinizados (GC90), foram descritas pela solução analítica da segunda lei de Fick (R2 = 0.997-0.998); A secagem de géis contendo 60% de água e 5.4% de amido nativo (RC90), foram mais bem explicadas pelo modelo analítico com inclusão do termo de encolhimento (R2 = 0.992); O modelo numérico desenvolvido em COMSOL Multiphysics descreveu adequadamente a secagem de géis formulados com 86% de água e 34% amido gelatinizado e não-gelatinizado (GC50 e RC90), dando um R2 de 0.983-0.992. O encolhimento foi estimado a partir do fluxo molar de água, enquanto a deformação da geometria foi simulada pelo método arbitrário Lagrangian-Eulerian (ALE). A inclusão do termo de encolhimento modificou o perfil de taxa de secagem e o período de pseudo-taxa constante foi observado. O modelo desenvolvido neste trabalho pode ser aplicado em estudos de secagem de géis, alimentos e outros materiais que apresentam elevada razão de encolhimento. / Biopolymers, such as starch and alginate, can be used in the formulation of gels with high water retention. The convective drying can be applied to gel moisture removing. Drying parameters (temperature, air velocity and equilibrium moisture) should be monitored in view of producing a dry solid without degradation of active compounds. The mathematical modeling by the finite element method in COMSOL Multiphysics has been used to simulate drying profiles, with reduced experimental runs. This work aimed at developing of analytical and numerical models to predict the moisture and size of slices of gels containing cornstarch and calcium alginate, during convective drying. The coupling between mass transfer and shrinkage of slices during drying was simulated and the effective mass diffusivity was obtained by non-linear adjustment to the experimental data. Three models have been used as case studies obtained the effective mass diffusivity. Drying of gels containing 60% water and 5.4% gelatinized cornstarch (GC90 samples) as well fitted by the analytical solution of Fick\'s second law (R2 = 0.997-0.998). Drying of gels containing 60% water and 5.4% native starch (RC90 samples) as explained by Fick\'s analytical model while inclusion of the shrinkage term (R2 = 0.992). The numerical model developed in COMSOL Multiphysics adequately described the drying of gels formulated with 86% water and 34% of starch, gelatinized or non-gelatinized, (GC50 and RC90 samples), giving a R2 of 0.983-0.992. The shrinkage was estimated by the molar flux of water, while the geometry shrinkage was simulated by the Arbitrary Lagrangian-Eulerian (ALE) method. The inclusion of the shrinkage modified the drying rate profiles and a pseudo-constant rate period was observed. The model developed in this work can be applied to drying studies of gels, food and other materials that have a high shrinkage ratio.

Os biopolímeros comestíveis, tais como amido e alginato, podem ser utilizados na formulação de géis com elevada capacidade de retenção de água. A secagem convectiva pode ser utilizada para a remoção da umidade em géis. Os parâmetros da secagem (temperatura, velocidade do ar e umidade de equilíbrio) necessitam ser monitorados para a produção de um sólido seco e sem degradação de compostos ativos. A modelagem matemática da secagem pelo método numérico de elementos finitos em COMSOL Multiphysics tem sido utilizada para simular a secagem, usando um número reduzido de ensaios experimentais. Este trabalho teve como objetivo o desenvolvimento de modelos analíticos e numéricos para predizer a umidade e tamanho de fatias de géis de amido de milho e alginato de cálcio durante a secagem convectiva. O acoplamento entre a transferência de massa e encolhimento das fatias durante a secagem foi simulado e a difusividade mássica efetiva foi obtida pelo ajuste não linear aos dados experimentais. Três modelos foram utilizados como estudos de caso: A secagem de géis contendo 60% de água e 5.4% de amido gelatinizados (GC90), foram descritas pela solução analítica da segunda lei de Fick (R2 = 0.997-0.998); A secagem de géis contendo 60% de água e 5.4% de amido nativo (RC90), foram mais bem explicadas pelo modelo analítico com inclusão do termo de encolhimento (R2 = 0.992); O modelo numérico desenvolvido em COMSOL Multiphysics descreveu adequadamente a secagem de géis formulados com 86% de água e 34% amido gelatinizado e não-gelatinizado (GC50 e RC90), dando um R2 de 0.983-0.992. O encolhimento foi estimado a partir do fluxo molar de água, enquanto a deformação da geometria foi simulada pelo método arbitrário Lagrangian-Eulerian (ALE). A inclusão do termo de encolhimento modificou o perfil de taxa de secagem e o período de pseudo-taxa constante foi observado. O modelo desenvolvido neste trabalho pode ser aplicado em estudos de secagem de géis, alimentos e outros materiais que apresentam elevada razão de encolhimento. / Biopolymers, such as starch and alginate, can be used in the formulation of gels with high water retention. The convective drying can be applied to gel moisture removing. Drying parameters (temperature, air velocity and equilibrium moisture) should be monitored in view of producing a dry solid without degradation of active compounds. The mathematical modeling by the finite element method in COMSOL Multiphysics has been used to simulate drying profiles, with reduced experimental runs. This work aimed at developing of analytical and numerical models to predict the moisture and size of slices of gels containing cornstarch and calcium alginate, during convective drying. The coupling between mass transfer and shrinkage of slices during drying was simulated and the effective mass diffusivity was obtained by non-linear adjustment to the experimental data. Three models have been used as case studies obtained the effective mass diffusivity. Drying of gels containing 60% water and 5.4% gelatinized cornstarch (GC90 samples) as well fitted by the analytical solution of Fick\'s second law (R2 = 0.997-0.998). Drying of gels containing 60% water and 5.4% native starch (RC90 samples) as explained by Fick\'s analytical model while inclusion of the shrinkage term (R2 = 0.992). The numerical model developed in COMSOL Multiphysics adequately described the drying of gels formulated with 86% water and 34% of starch, gelatinized or non-gelatinized, (GC50 and RC90 samples), giving a R2 of 0.983-0.992. The shrinkage was estimated by the molar flux of water, while the geometry shrinkage was simulated by the Arbitrary Lagrangian-Eulerian (ALE) method. The inclusion of the shrinkage modified the drying rate profiles and a pseudo-constant rate period was observed. The model developed in this work can be applied to drying studies of gels, food and other materials that have a high shrinkage ratio.

This diploma thesis is concerned with a problem of the line heat simulation by different kinds of materials with computer - aided COMSOL Multiphysics. The thesis is composed of three thematic units. In the first part there is a line heat principle shortly described and his basic physical quantities which are necessary for correct defining of the simulation. The second part is concerned with the software, its function, auxiliary modulus and a description of single actions, which are essential for making of the model. In the last part there is the whole process of the multiphysical task creation that enables to simulate line heat in a specific material in reliance on time.

Renal failure or kidney failure is a medical condition when the kidneys fail to filter toxins and waste products from the blood. Most of the time, problems encountered in kidney malfunction include abnormal fluid levels in the body, increased acid levels and abnormal levels of Urea, Glucose, Endothelin, β2-Microglobulin, Complement Factor D. In medicine, dialysis is a method that is used to remove waste products from blood when the kidneys are in a state of renal failure. Parameters characterizing the structure of dialyzers are very important because they decide overall clearance of toxin molecules and at the same time should allow retaining useful molecules in the blood. It is however not clear how the changes of dialyzer parameters will affect the clearance. This can be found out by doing simulation of a dialysis process. In this thesis, a numerical model was developed to simulate the process that goes on inside a dialyzer to determine which parameters are important for getting better clearance of toxin molecules and how the changes of those parameters can improve the performance of dialysis. In order to do that, a model of dialyzer membrane with details of the porosity is necessary. The dialyzer membrane that was considered in this research was Polyflux 210H. Here the cross sectional images of Polyflux 210H dialyzer membrane were taken by FESEM (Field Emission Scanning Electron Microscope) to obtain the porosity values of different layers. Using these porosity values, a multilayered membrane model was developed in Finite Element Software- COMSOL Multiphysics 4.3. Then a blood flow containing - Urea, Glucose, Endothelin, β2-Microglobulin, Complement Factor D and Albumin was introduced. For a certain blood flow rate the toxins diffuse through the membrane and on the other side of the membrane a dialysate flow was introduced to remove the toxins. Two different definitions of effective diffusivity were considered for the phenomenon of the diffusion of the molecules in the membrane. Between the two, the better definition was found out by comparing the results with experimental data of the manufacturer of Polyflux 210H. Then for the chosen definition, further analysis was done and the results were compared with another set of experimental data to validate the model. Then different parameters - magnitude and direction of both blood and dialysate flow, length and diameter of the fiber, pore sizes were changed to simulate how these changes affect toxin clearance and the removal of useful molecules. The results suggest some very interesting points to achieve better dialysis performance. First of all, the clearance rate of both Urea and Glucose increase rapidly with the increasing blood flow rate. When a maximum allowable blood flow rate is attained, increasing the dialysate flow rate can ensure better clearance rate for Urea and Glucose. In both the cases of increasing radius or length of the dialyzer fiber, the clearance rate of Glucose increases more rapidly than the clearance rate of Urea. For Endothelin and β2-Microglobulin the clearance rate increases twice compared to the initial condition. Meanwhile, the clearance rate of Albumin does not change that much. Also increasing the pore diameter up to 20 nm (but not more than that) can ensure higher clearance rate of Urea and Glucose, moderate clearance rate of middle molecules and minimum loss of Albumin.

In a world where money often is the main controlling factor, everything that can be tends to be more and more optimized. Regarding electrical machines, developers have always had the goal to make them better. The latest trend is to make machines as efficient as possible, which calls for accurate simulation models where different designs can be tested and evaluated. The finite element method is probably the most popular approach since it makes it possible to, in an easy and accurate way, get numerical solutions to a variety of physics problems with complex geometries and non-linear materials. This licentiate thesis includes two different projects in which finite element methods have had a central roll. In the first project, the goal was to develop a simulation model to be able to predict demagnetization of permanent magnets. It is of great importance to be able to predict if a permanent magnet will be demagnetized or not in a certain situation. In the worst case, the permanent magnets will be completely destroyed and the machine will be completely useless. However, it is more probable that the permanent magnets will not be completely destroyed and that the machine still will be functional but not as good as before. In a time where money is more important than ever, the utilization has to be as high as possible. In this study the demagnetization risk for different rotor geometries in a 12 kW direct driven permanent magnet synchronous generator was studied with a proprietary finite element method simulation model. The demagnetization study of the different rotor geometries and magnet grades showed that here is no risk for the permanent magnets in the rotor as it is designed today to be demagnetized. The project also included experimental verification of the simulation model. The simulation model was compared with experiments and the results showed good agreement. The second project treated the redesign of the rotor in the generator previously mentioned. The goal was to redesign the surface mounted NdFeB rotor to use a field concentrating design with ferrite permanent magnets instead. The motivation was that the price on NdFeB magnets has fluctuated a lot the last few years as well as to see if it was physically possible to fit a ferrite rotor in the same space as the NdFeB rotor. A new rotor design with ferrite permanent magnets was presented together with an electromagnetic and a mechanical design.

Fluorine gas is produced industrially by electrolysing hydrogen fluoride in a potassium acid fluoride electrolyte. Fluorine is produced at the carbon anode, while hydrogen is produced at the mild-steel cathode. The fluorine produced has a wide range of uses, most notably in the nuclear industry where it is used to separate 235U and 238U. The South African Nuclear Energy Corporation (Necsa) is a producer of fluorine and requested an investigation into the hydrodynamics of their electrolysis cells as part of a larger national initiative to beneficiate more of South Africa’s large fluorspar deposits. Due to the extremely corrosive and toxic environment inside a typical fluorine electrolysis reactor, the fluid dynamics in the reactor are not understood well enough. The harsh conditions make detailed experimental investigation of the reactors extremely dangerous. The objective of this project is to construct a model that can accurately predict the physical processes involved in the production of fluorine gas. The results of the simulation will be compared to experimental results from tests done on a lab-scale reactor. A good correlation between reality and the simulacrum would mean engineers and designers can interrogate the inner operation of said reactors safely, effortlessly and economically. This contribution reports a time-dependent simulation of a fluorine-producing electrolysis reactor. COMSOL Multiphysics was used as a tool to construct a two dimensional model where the charge-, heat-, mass- and momentum transfer were fully coupled in one transient simulation. COMSOL is a finite element analysis software package. It enables the user to specify the dimensions of his/her investigation and specify a set of partial differential equations, boundary conditions and starting values. These equations can be coupled to ensure that the complex interaction between the various physical phenomena can be taken into account - an absolute necessity in a model as complex as this one. Results produced include a set of time dependent graphics where the charge-, heat-, mass- and momentum transfer inside the reactor and their development can be visualized clearly. The average liquid velocity in the reactor was also simulated and it was found that this value stabilises after around 90 s. The results of each transfer module are also shown at 100 s, where it is assumed that the simulation has achieved a quasi-steady state. The reactor, on which the model is based, is currently under construction and will be operated under the same conditions as specified in the model. The reactor, constructed of stainless steel, has a transparent side window through which both electrodes can clearly be seen. Thus the bubble formation and flow in the reactor can be studied effectively. Temperature will be measured with a set of thermocouples imbedded in PTFE throughout the reactor. The electric field will similarly be measured using electric induction probes. / Dissertation (MEng)--University of Pretoria, 2012. / Chemical Engineering / unrestricted

There is a renewed interest to use material as wood to construct large multi-storey buildings in Sweden, but lightweight material tends to increase the indoor temperature fluctuations during days with large changes in outdoor temperature. The problem can be resolved by integrating phase change material (PCM) in the construction. This increases thermal inertia which mitigates the fluctuations.           The scope of the study is to develop a simulation model in COMSOL Multiphysics, to validate the model experimentally and to determine the optimal position and thickness of a PCM layer in a multi-layer wall. The model, representing a building with the shape of a box, consists of two versions. The first version, called the test box, is modeled with 5 sides of pure gypsum and 1 side of PCM-gypsum composite. The second version without PCM, called the reference box, is modeled with 6 sides of pure gypsum. Since the study is focused on reducing the cooling load, the PCM gypsum composite material should function effectively during summer conditions in northern Sweden. The experimental part includes two real-life boxes, the experimental test box and reference box, built of the same type of material that is chosen for the simulation model boxes. A climate chamber is utilized for the temperature control of the two boxes while performing measurements to validate the simulation model. The simulation model showed deviations from the experimental measurements. The temperatures inside the climate chamber, at all five points of measurement, were lower than the equivalent points in the simulation. It was possible to compensate by adjusting the overall ambient temperature down with 0.6 °C in the simulation, resulting in smaller errors. The PCM positioning resulted in recommendations to place the PCM closest to the interior space. The testing of different PCM thicknesses showed the best heat storage for the thickest PCM layers, but the PCM storage efficiency should have been considered as well.

No description available.

L’objectif de ce travail est d'étudier expérimentalement la formation du capillaire durant le perçage et le soudage par faisceau laser, et de développer une simulation numérique permettant de reproduire la dynamique de formation et d'évolution du capillaire. Nous avons fait le choix d’utiliser comme matériau test le Zinc, en raison de ses propriétés thermodynamiques. Afin de simplifier le problème, nous avons étudié dans un premier temps le mécanisme de perçage. Deux méthodes expérimentales ont été utilisées pour caractériser l'évolution de la géométrie du capillaire : La méthode DODO (Direct Observation of Drilled hOle ) permet de visualiser le capillaire après perçage pour différentes durées et la méthode Zn-Quartz permet d’observer directement son évolution temporelle par camera rapide à travers une lame de quartz. Puis nous avons utilisé cette évolution pour mettre au point une simulation du mécanisme de perçage. Après avoir étudié le dépôt de puissance à l’intérieur d’un capillaire en tenant compte des réflexions multiples et estimé l'importance de la perte d'énergie et de matière lors du processus, nous avons développé une simulation en utilisant le logiciel Comsol Multiphysics couplant l'équation thermique, l'équation de Navier Stokes et prenant en compte le déplacement du métal fondu sous l’action de la pression de recul. Dans ce cas, on observe la formation d’un bourrelet important au bord du trou et une augmentation de la profondeur du capillaire. Ensuite nous avons étudié la formation du capillaire durant le soudage laser, c'est-à-dire avec déplacement de la source. A partir des techniques mises en œuvre pour l’étude du perçage nous avons obtenu l’évolution de la forme du capillaire dans le cas du soudage Zn/Quartz. Nous avons réalisé une simulation relativement simple en supposant la géométrie et la température du capillaire connues a priori. Nous avons constaté qu’un modèle simple, modélisant uniquement les transferts thermiques par conduction, permet de bien simuler la forme de la zone fondue pour les couples Zn/Zn et Zn-quartz. / The aim of the present work is to study experimentally the formation of the capillary during the drilling and welding by laser beam and to develop the numerical simulation which allows following the dynamics and the evolution of the keyhole. The zinc was chosen as a test material because its thermodynamical properties are well known. To simplify the problem, in the first place the drilling mechanism was studied. Two experimental methods were used to characterize the evolution of the keyhole: the Direct Observation of Drilled Hole method, which allows the visualization of the keyhole after the application of laser pulses of different durations, and Zn-Quartz method, which allows the direct observation of keyhole evolution with CCD camera through the layer of quartz. Then, the information on keyhole evolution was used to develop the simulation of drilling mechanism. After studying the beam power deposition inside the capillary with taking in account the multiple photon reflections, and after estimation of the energy and matter loss during the process, we developed the simulation with FEM software COMSOL Multiphysics, which contains coupled heat transfer, fluid flow and free surface problem allowing considering the effect of recoil pressure on liquid phase ejection. We could observe the formation of an important bolster surrounding the keyhole and the increase of keyhole depth with time. Next, we studied the formation of the keyhole during the laser welding, in other words, during the displacement of the heat source. Using the same technique that was developed for laser drilling, we have obtained the information on keyhole evolution during zinc-quartz welding. We have created the simple simulation, where keyhole temperature and profile were considered as known a priori. We have stated that this model, which takes in account only conduction heat transfer problem, allows to reproduce well the shape of the melted zone both for zinc-zinc and zinc-quartz couples