<p>This study, motivated by biomedical applications such as drug delivery and adsorption, is aimed at describing magneto- and dielectro-phoretic systems via dimensional analysis to quantitatively assess the relative contribution of hydrodynamics, electromagnetism, and particle dynamics. Magnetophoresis and dielectrophoresis, phenomena of magnetic and dielectric particle transports, respectively, have been used in various applications requiring selective collecting or separating magnetic particles, especially in microfluidic systems.</p> <p>A multiphysics computational model for a magnetophoretic system was developed to assess magnetophoretic characteristics. The magnetically induced mobility of the magnetic particles was simulated for a range of parameters relevant in biomedical applications, including the particle and fluid properties, fluid velocity, and geometries of the particle, flow channel, and magnet. With the help of dimensional analysis, dimensionless numbers were introduced to reduce the number of parameters characterizing the transport of the particles suspended in an electrically non-conducting fluid exposed to an external magnetic field. As a result, 14 relevant variables determining the particle capture were reduced to only 3 dimensionless numbers describing the magnetophoretic system. The results from multiphysics models supported this analysis, suggesting a scaling law. The functional relationship among the dimensionless numbers resulted in prediction curves to assess the particle capture. The performance of the magnetophoretic system predicted with the dimensional analysis was verified in comparison with the available experimental data. In addition, the dimensionless numbers introduced here were compared with established numbers in magnetohydrodynamics (MHD).</p> <p>These theoretical and parametrical analyses of the magnetophoretic system were applied to the novel magnetic filter proposed to capture the drug-loaded small magnetic particles (MPs) from the bloodstream during the Intra-Arterial Chemotherapy (IAC). The IAC is a preferred treatment for unresectable hepatocellular carcinoma (HCC), the primary liver cancer. In the IAC procedure, chemotherapeutic agents, e.g. doxorubicin (Dox), are administered via a catheter placed in an artery supplying the tumor. The effectiveness of the IAC, however, is limited due to the passage of excessive chemotherapy agents to the blood circulation after their effect on the tumor, causing systemic toxicity. To remove the excessive drugs, the endovascular filtration devices have been developed. The proposed magnetic filtration device could be deployed from a catheter placed in the hepatic vein or inferior vena cava (IVC) to remove the excessive Dox from the bloodstream. The Ferumoxytol approved by the FDA is one of the types of the ultrasmall superparamagnetic iron oxide (USPIO) particles. The excessive Dox-coated USPIO can be filtered by a magnetic catheter-based device generating an external magnetic field. The filter utilizing magnetic fields is a promising method for therapeutic applications since an influence of magnetic field reaches comparatively wide ranges and magnetic fields do not affect biological tissues. To optimize the design, efficacy, and performance of the proposed magnetic filtration device, numerical models were developed based on the proposed dimensionless numbers characterizing drug transport and binding. Drug adsorption can be optimized by modifying magnetic field distribution and device configuration. To enhance the filtering up to 70-80 % of the excessive drug, multi-stage filters were developed by optimizing magnet configuration and flow patterns. By decreasing the concentration of toxins in the cardiovascular system, the drug dosage can be increased while reducing side effects, thus improving the effectiveness of the IAC treatment.</p> <p>In addition, new dimensionless numbers for dielectrophoresis analogous to magnetophoresis were introduced for a range of applications. The proposed dimensionless numbers for dielectrophoresis were evaluated for several conditions and compared with the previously established numbers in electrohydrodynamics (EHD). </p> <p>This study provides a promising framework for analyzing and predicting performance of various magneto- and dielectro-phoretic systems for a range of applications, particularly in biomedicine such as –drug filtering, targeted drug delivery, or small particle separation–, thus providing a reliable methodology for predicting particle manipulation. </p>

<p>To extract metals and increase the pH value of water around a historical mine waste deposit a series of barrels are used. Polluted water is forced to pass inside these barrels where different filter materials purify the water. This research project is carried out in Sweden by MTM at Örebro University and Bergkraft in Kopparberg, titled “Methods for characterisation and remediation of historical mine waste”.</p><p> </p><p>The fluid flow trough the filter materials in the barrels are needed to be understood, in order to improve the extracting process.</p><p> </p><p>In this work a small transparent model filled with sand was made to visualise the fluid flow. In that model coloured water is representing the polluted water. To describe the flow in the transparent model a mathematical model is presented. The theory used in this work is the complex variable method in fluid dynamics together with numerical methods and computer programming. There is a pretty good match between the theoretical and experimental results presented in two dimensions. Continuing work could result in a three dimensional model with different geometries using the same technique.</p>

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Neste trabalho, três técnicas para resolver numericamente problemas inversos de transporte de partículas neutras a uma velocidade para aplicações em engenharia nuclear são desenvolvidas. É fato conhecido que problemas diretos estacionários e monoenergéticos de transporte são caracterizados por estimar o fluxo de partículas como uma função-distribuição das variáveis independentes de espaço e de direção de movimento, quando os parâmetros materiais (seções de choque macroscópicas), a geometria, e o fluxo incidente nos contornos do domínio (condições de contorno), bem como a distribuição de fonte interior são conhecidos. Por outro lado, problemas inversos, neste trabalho, buscam estimativas para o fluxo incidente no contorno, ou a fonte interior, ou frações vazio em barras homogêneas. O modelo matemático usado tanto para os problemas diretos como para os problemas inversos é a equação de transporte independente do tempo, a uma velocidade, em geometria unidimensional e com o espalhamento linearmente anisotrópico na formulação de ordenadas discretas (SN). Nos problemas inversos de valor de contorno, dado o fluxo emergente em um extremo da barra, medido por um detector de nêutrons, por exemplo, buscamos uma estimativa precisa para o fluxo incidente no extremo oposto. Por outro lado, nos problemas inversos SN de fonte interior, buscamos uma estimativa precisa para a fonte armazenada no interior do domínio para fins de blindagem, sendo dado o fluxo emergente no contorno da barra. Além disso, nos problemas inversos SN de fração de vazio, dado o fluxo emergente em uma fronteira da barra devido ao fluxo incidente prescrito no extremo oposto, procuramos por uma estimativa precisa da fração de vazio no interior da barra, no contexto de ensaios não-destrutivos para aplicações na indústria. O código computacional desenvolvido neste trabalho apresenta o método espectronodal de malha grossa spectral Greens function (SGF) para os problemas diretos SN em geometria unidimensional para gerar soluções numéricas precisas para os três problemas inversos SN descritos acima. Para os problemas inversos SN de valor de contorno e de fonte interior, usamos a propriedade da proporcionalidade da fuga de partículas; ademais, para os problemas inversos SN de fração de vazio, oferecemos a técnica a qual nos referimos como o método físico da bissecção. Apresentamos resultados numéricos para ilustrar a precisão das três técnicas, conforme descrito nesta tese. / In this work, three techniques for numerically solving one-speed neutral particle inverse transport problems for nuclear engineering applications are developed. It is well known that direct steady-state monoenergetic transport problems are characterized by estimating the flux of particles as a distribution function of space and direction-of-motion independent variables, when the material parameters (cross sections), the geometry, and the incoming flux at the boundaries of the domain (boundary conditions), as well as the interior source distribution are known. Conversely, inverse problems, in this work, seek for estimates to the incident boundary flux, or interior source, or void fractions in homogeneous slabs. The mathematical model used for direct and inverse problems is the time-independent one-speed slab-geometry transport equation with linearly anisotropic scattering in the discrete ordinates (SN) formulation. In the boundary-value inverse problems, given the existing flux at one boundary of the slab, as measured by a neutron detector, for example, we seek for accurate estimate for the incident flux at the opposite boundary. On the other hand, in the interior source inverse SN problems, we seek for accurate estimate for the interior source stored within the slab for shielding purpose, given the exiting flux at the boundary of the slab. Furthermore, as with the void fraction inverse SN problems, given the exiting flux at one boundary of the slab due to prescribed incident flux at the opposite boundary, we seek for accurate estimate of the void fraction within the slab in the context of non-destructive testing applications in industry. The computer code developed in this work presents the coarse-mesh spectral Greens function (SGF) nodal method for direct SN problems in slab geometry to generate accurate numerical solutions to the three inverse SN problems described above. For the boundary-value and interior source inverse SN problems, we use the proportionality property of the leakage of particles; moreover, for the void fraction inverse SN problems, we offer the technique that we refer to as the physical bisection method. We present numerical results to illustrate the accuracy of the three techniques, as described in this dissertation.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Neste trabalho, três técnicas para resolver numericamente problemas inversos de transporte de partículas neutras a uma velocidade para aplicações em engenharia nuclear são desenvolvidas. É fato conhecido que problemas diretos estacionários e monoenergéticos de transporte são caracterizados por estimar o fluxo de partículas como uma função-distribuição das variáveis independentes de espaço e de direção de movimento, quando os parâmetros materiais (seções de choque macroscópicas), a geometria, e o fluxo incidente nos contornos do domínio (condições de contorno), bem como a distribuição de fonte interior são conhecidos. Por outro lado, problemas inversos, neste trabalho, buscam estimativas para o fluxo incidente no contorno, ou a fonte interior, ou frações vazio em barras homogêneas. O modelo matemático usado tanto para os problemas diretos como para os problemas inversos é a equação de transporte independente do tempo, a uma velocidade, em geometria unidimensional e com o espalhamento linearmente anisotrópico na formulação de ordenadas discretas (SN). Nos problemas inversos de valor de contorno, dado o fluxo emergente em um extremo da barra, medido por um detector de nêutrons, por exemplo, buscamos uma estimativa precisa para o fluxo incidente no extremo oposto. Por outro lado, nos problemas inversos SN de fonte interior, buscamos uma estimativa precisa para a fonte armazenada no interior do domínio para fins de blindagem, sendo dado o fluxo emergente no contorno da barra. Além disso, nos problemas inversos SN de fração de vazio, dado o fluxo emergente em uma fronteira da barra devido ao fluxo incidente prescrito no extremo oposto, procuramos por uma estimativa precisa da fração de vazio no interior da barra, no contexto de ensaios não-destrutivos para aplicações na indústria. O código computacional desenvolvido neste trabalho apresenta o método espectronodal de malha grossa spectral Greens function (SGF) para os problemas diretos SN em geometria unidimensional para gerar soluções numéricas precisas para os três problemas inversos SN descritos acima. Para os problemas inversos SN de valor de contorno e de fonte interior, usamos a propriedade da proporcionalidade da fuga de partículas; ademais, para os problemas inversos SN de fração de vazio, oferecemos a técnica a qual nos referimos como o método físico da bissecção. Apresentamos resultados numéricos para ilustrar a precisão das três técnicas, conforme descrito nesta tese. / In this work, three techniques for numerically solving one-speed neutral particle inverse transport problems for nuclear engineering applications are developed. It is well known that direct steady-state monoenergetic transport problems are characterized by estimating the flux of particles as a distribution function of space and direction-of-motion independent variables, when the material parameters (cross sections), the geometry, and the incoming flux at the boundaries of the domain (boundary conditions), as well as the interior source distribution are known. Conversely, inverse problems, in this work, seek for estimates to the incident boundary flux, or interior source, or void fractions in homogeneous slabs. The mathematical model used for direct and inverse problems is the time-independent one-speed slab-geometry transport equation with linearly anisotropic scattering in the discrete ordinates (SN) formulation. In the boundary-value inverse problems, given the existing flux at one boundary of the slab, as measured by a neutron detector, for example, we seek for accurate estimate for the incident flux at the opposite boundary. On the other hand, in the interior source inverse SN problems, we seek for accurate estimate for the interior source stored within the slab for shielding purpose, given the exiting flux at the boundary of the slab. Furthermore, as with the void fraction inverse SN problems, given the exiting flux at one boundary of the slab due to prescribed incident flux at the opposite boundary, we seek for accurate estimate of the void fraction within the slab in the context of non-destructive testing applications in industry. The computer code developed in this work presents the coarse-mesh spectral Greens function (SGF) nodal method for direct SN problems in slab geometry to generate accurate numerical solutions to the three inverse SN problems described above. For the boundary-value and interior source inverse SN problems, we use the proportionality property of the leakage of particles; moreover, for the void fraction inverse SN problems, we offer the technique that we refer to as the physical bisection method. We present numerical results to illustrate the accuracy of the three techniques, as described in this dissertation.

To extract metals and increase the pH value of water around a historical mine waste deposit a series of barrels are used. Polluted water is forced to pass inside these barrels where different filter materials purify the water. This research project is carried out in Sweden by MTM at Örebro University and Bergkraft in Kopparberg, titled “Methods for characterisation and remediation of historical mine waste”.   The fluid flow trough the filter materials in the barrels are needed to be understood, in order to improve the extracting process.   In this work a small transparent model filled with sand was made to visualise the fluid flow. In that model coloured water is representing the polluted water. To describe the flow in the transparent model a mathematical model is presented. The theory used in this work is the complex variable method in fluid dynamics together with numerical methods and computer programming. There is a pretty good match between the theoretical and experimental results presented in two dimensions. Continuing work could result in a three dimensional model with different geometries using the same technique.

Thermonuclear fusion may become an attractive future power source. The most promising of all fusion machine concepts is the tokamak. Despite decades of active research, still huge tasks remain before a fusion power plant can go online. One of these important tasks deals with the interaction between the fusion plasma and the reactor wall. This work focuses on how eroded wall materials of different origin and mass are transported in a tokamak device. Element transport can be examined by injection of certain species of unique and predetermined origin, so called tracers. Tracer experiments were conducted at the TEXTOR tokamak before its final shutdown. This offered an unique opportunity for studies of the wall and other internal components: For the first time it was possible to completely dismantle such a machine and analyse every single part of reactor wall, obtaining a detailed pattern of material migration. Main focus of this work is on the high-Z metals tungsten and molybdenum, which were introduced by WF6 and MoF6 injection into the TEXTOR tokamak in several material migration experiments. It is shown that Mo and W migrate in a similar way around the tokamak and that Mo can be used as tracer for W transport. It is further shown how other materials - medium-Z (Ni), low-Z (N-15 and F), fuel species (D) - migrate and get deposited. Finally, the outcome of dust sampling studies is discussed. It is shown that dust appearance and composition depends on origin, formation conditions and that it can originate even from remote systems like the NBI system. Furthermore, metal splashes and droplets have been found, some of them clearly indicating boiling processes. / <p>QC 20151203</p>