Multiphase transport phenomena primarily encompass the fundamental principles and applications concerning the systems where overall dynamics are precept by phase change evolution. On the other hand, multiscale transport phenomena essentially corroborate to a domain where the transport characteristics often contain components at disparate scales. Relevant examples as appropriate to multiphase and multiscale thermofluidic transport phenomena comprise solid-liquid phase change during conventional solidification process and hydrodynamics through narrow confinements. The additional effect of superimposed magnetic field over such multiphase and multiscale systems may give rise to intriguing transport characteristics, significantly unique in nature as compared to flows without it. The present investigation focuses on multiphase, multi-scale transport phenomena in physical systems subjected to the superimposed magnetic field, considering four important and inter-linked aspects. To begin with, for a multiphase system concerning binary alloy solidification, a normal mode linear stability analysis has been carried out to investigate stationary and oscillatory convective stability in the mushy layer in the presence of external magnetic field. The stability results indicate that the critical Rayleigh number for stationary convection shows a linear relationship with increasing Ham (mush Hartmann number). Magnetohydrodynamic effect imparts a stabilizing influence during stationary convection. In comparison to that of stationary convective mode, the oscillatory mode appears to be critically susceptible at higher values of  (a function of the Stefan number and concentration ratio), and vice versa for lower  values. Analogous to the behaviour for stationary convection, the magnetic field also offers a stabilizing effect in oscillatory convection and thus influences global stability of the mushy layer. Increasing magnetic strength shows reduction in the wavenumber and in the number of rolls formed in the mushy layer. In multiscale paradigm, the combined electroosmotic and pressure-driven transport through narrow confinements have been firstly analyzed with an effect of spatially varying non–uniform magnetic field. It has been found that a confluence of the steric interactions with the degree of wall charging (zeta potential) may result in heat transfer enhancement, and overall reduction in entropy generation of the system under appropriate conditions. In particular, it is revealed that a judicious selection of spatially varying magnetic field strength may lead to an augmentation in the heat transfer rate. It is also inferred that incorporating non–uniformity in distribution of the applied magnetic field translates the system to be dominated by the heat transfer irreversibility. Proceeding further, a semi-analytical investigation has been carried out considering implications of magnetohydrodynamic forces and interfacial slip on the heat transfer characteristics of streaming potential mediated flow in narrow fluidic confinements. An augmentation in the streaming potential field as attributable to the wall slip activated enhanced electromagnetohydrodynamic transport of the ionic species within the EDL has been found. Furthermore, the implications of Stern layer conductivity and magnetohydrodynamic influence on system irreversibility have been shown through analysis of entropy generation due to fluid friction and heat transfer. The results being obtained in this analysis have significant scientific and technological consequences in the context of novel design of future generation energy efficient devices, and can be useful in the further advancement of theory, simulation, and experimental work. Finally, the combined consequences of interfacial electrokinetics, rheology, and superimposed magnetic field subjected to a non-Newtonian (power-law obeying) fluid in a narrow confinement are studied in this work. The theoretical results demonstrate that the applied magnetic field imparts a retarding influence in the induced streaming potential development, whereas, triggers the heat transfer magnitude. Moreover, additional influences of power law index show reduction in heat transfer as well as the streaming potential magnitude. It is unveiled that the optimal combinations of power law index and the magnetic field lead to the minimization of the global total entropy generation in the system.

Cette thèse s'appuie sur la spectroscopie de NiH établie à la fin des années 1980 et au début des années 1990, principalement par le groupe du Pr. R. W. Field au MIT. Les mesures expérimentales ont amélioré de manière significative les travaux antérieurs, tant en spectroscopie en champ nul qu'en spectroscopie Zeeman. Le radical NiH est obtenu avec une source à décharge à température ambiante (310 K). Les radicaux formés dans la décharge sont excités par un laser continu à colorant et étudiés soit en spectroscopie d'excitation laser soit en fluorescence dispersée. Un circuit magnétique à aimants permanents (NdFeB) fournit un champ magnétique statique (0.4 – 0.9 T). En champ nul, les spectres de fluorescence par transformée de Fourier ont élargi les observations de l'état électronique fondamental jusqu'à 6000 cm-1, pour 58NiH et 60NiH. Les énergies sont modélisées avec un Hamiltonien effectif obtenu à partir du formalisme du modèle du 3d9 supermultiplet développé par le groupe de Field. Les mesures Zeeman se sont principalement concentrées sur l'étude des états Ω=3/2. Les facteurs de Landé effectifs ont été déterminés pour chaque niveau ro-vibrationnel pour les états de basse énergie et les états excités de 58NiH. L'inhabituelle dépendance en J des facteurs de Landé obtenus pour les états de basse énergie est expliquée par le modèle du supermultiplet, quantifiant alors l'ampleur des mélanges spin-orbite présents dans les états inférieurs. Les transitions étudiées ont un intérêt astrophysique depuis que plusieurs transitions d'hydrure métallique ont été observées dans les spectres d'étoiles froides et les taches solaires. / This thesis builds on the spectroscopy of NiH established in the late 1980s and early 1990s, principally by Pr. R. W. Field's group at MIT. Experimental measurements significantly extend earlier work, both in field-free and Zeeman spectroscopy. The NiH radical is obtained with a room-temperature metal-hydride discharge source (310 K). Radicals formed in the discharge are excited by a single-mode, continuous wave dye laser and can be conveniently studied either in laser excitation or in dispersed fluorescence. A magnetic circuit with permanent magnets (NdFeB) provides a static magnetic field (0.4 – 0.9 T). In the field-free regime, Fourier transform resolved fluorescence spectra have extended the range of observations up to 6000 cm-1 above v=0 of the electronic ground state, for 58NiH and 60NiH. Energies are modeled with an effective Hamiltonien matrix using the 3d9 supermultiplet formalism developed by Field's group. Zeeman measurements have focused mainly on the range of states studied by including transitions involving the Ω=3/2 excited states. Effective Landé factors have been determined for individual ro-vibrational levels of low-lying and excited states of 58NiH. The unusual J-dependence of the Landé factors obtained for low-lying states are explained by the 3d9 supermultiplet model, quantifying the extent of spin-orbit mixing present in the lower states. The transitions are of potential astrophysical interest since several transition metal hydrides have been observed in the spectra of cool stars and sunspots.

[pt] Nesta dissertação foram discutidos os resultados obtidos com um interferômetro Fabry-Perot intrínseco (FPI) a fibra óptica, para sensoriamento de deformação longitudinal, temperatura e campo magnético. O FPI foi construído através da emenda de uma fibra capilar entre dois pedaços de fibra padrão de telecomunicação, formando uma cavidade de ar retangular. Esta cavidade, quando atua como um sensor de deformação longitudinal, possui uma sensibilidade nove vezes maior que uma típica rede de Bragg (FBG). Porém, quando atua como sensor de temperatura, a sensibilidade é bem menor que a de uma rede de Bragg, tornando-se bastante útil para diversas aplicações. O sensor de campo magnético foi construído através da colagem da cavidade de ar num material magnetostrictivo, para que este convertesse as mudanças causadas em seu comprimento, devido à aplicação do campo magnético, em deformação longitudinal. Este sensor apresentou uma sensibilidade ao campo magnético quatro vezes maior do que quando o mesmo é construído com uma rede de Bragg. / [en] This thesis discusses the results obtained with an intrinsic Fabry-Perot interferometer (FPI) fiber, for sensing longitudinal strain, temperature and magnetic field. The FPI was constructed by splicing a capillary fiber between two pieces of standard telecommunication fiber, forming a rectangular air cavity. This cavity, when acting as a longitudinal deformation sensor has a sensitivity nine times greater than a typical Bragg grating (FBG). However, when it acts as a temperature sensor, the sensitivity is much smaller than a Bragg grating, making it useful for various applications. The magnetic field sensor was built placing the air cavity on a magnetostrictive material, so that it converted the changes brought in its length due to the application of the magnetic field in longitudinal deformation. The sensor showed a sensitivity to the magnetic field four times higher than when it is built with a Bragg grating.

Axially symmetric rf ion traps consists of a mass analyser having three electrodes, one of which is a central ring electrode and the other two are endcap electrodes. In the ideal Paul trap mass spectrometer, the electrodes have hyperboloidal shape (March and Hughes, 1989) and in mass analyser with simplified geometry, such as the cylindrical ion trap (Wu et al.,2005) the central electrode is a cylinder and the two endcap electrode and flat plates. rf-only or rf/dc potential is applied across the ring electrode and the grounded endcap electrodes for conducting the basic experiments of the mass spectrometer. In recent times, the miniaturisation of ion trap is one of the research interests in the field of mass spectrometry. The miniaturisation has the advantages of compactness, low power consumption and portability. However, this is achieved at the cost of the overall performance of the mass spectrometer with its deleterious effect on resolution. Research groups study the field distribution in the trap for better understanding of ion dynamics in the direction of achieving improved performance with the miniaturised traps. One aspect which has not received any attention in research associated with quadrupole ion traps is the possible role of the magnetic field in improving performance of these traps. Since in the quadrupole ion trap mass analyser ion is confined by an oscillating (rf) field, magnetic fields have been considered superfluous. The motivation of the thesis is to understand the dynamics of ions in axially symmetric rf ion traps, in the presence of the magnetic field. The axially symmetric rf ion trap geometries considered in this thesis are the Paul trap and the cylindrical ion trap (CIT). The changes incurred to the ion motion and Mathieu stability diagram in the presence of magnetic field is observed in this work. Also, the relation between the magnetic field and the Mathieu parameter is shown. The thesis contains 4 chapters: Chapter 1 provides the basic back ground of mass spectrometry and the operating principles. The equations of ion motion in the Paul trap is derived and also the solution to Mathieu equation is provided. The solution to the Mathieu equation are the Mathieu parameters and , when plotted with on the x-axis and on the y-axis, results in the Mathieu stability plot, the explanation of which is also given in the chapter. A brief description of the secular frequency associated with the ion dynamics is given in this chapter. The popular experiments conducted (i.e. the mass selective boundary ejection and resonance ejection) with a mass spectrometer is described here. Finally at the end of the chapter is the scope of the thesis. Chapter 2 facilitates with the preliminary study required fort he accomplishment of the task. The Paul trap and the CIT are the rf ion traps considered in this work. The geometries of these two traps are described in this chapter. The computational methods used for the analysis of various aspects of mass spectrometer is introduced. The computational methods used involve the methods used for calculating the charge distribution on the electrodes, potentials, multipole co-efficients and trajectory calculations. The boundary element method(BEM), calculation for Potentials and the Runge-Kutta method used for the trajectory calculations are introduced in this chapter. The expressions for calculating the multipole co-efficients are also specified. Chapter 3 presents the results obtained. The equations of ion motion in a quadrupole ion trap in the presence of magnetic field is derived here. Verification of numerical results with and without the magnetic field are presented at the end of this chapter. The chapter also presents various graphs showing the impact of magnetic field on the ion dynamics in the Paul trap and the CIT. The impact of the presence of magnetic field on the micro motion in -, -and -directions of the rf ion traps are shown in this chapter. Also the figures showing the variation in the Mathieu stability plots, with varying magnetic field intensity are presented in the chapter. At the end of this chapter the relation between the magnetic field and the Mathieu parameter is derived and plotted. Chapter 4 explains the various observations made from the results obtained. This chapter also highlights the future scope of the work for making this a more applicable one. References in the text have been given by quoting the author’s name and year of publication. Full references have been provide, in an alphabetic order, at the end of the thesis.

La radiographie X synchrotron ou avec une source microfocus a été appliquée pour étudier différents phénomènes dépendants du temps en relation avec la solidification directionnelle d'alliages Al-Cu. Les effets de la gravité ont été étudiés par comparaison d'expériences sur Terre et en microgravité dans le cadre du projet ESA-MAP XRMON. Les mouvements des fragments sont le sujet majeur de notre étude. Sur Terre, le mouvement des fragments est imposé par la poussée d'Archimède, avec une forte influence des effets de paroi et de la morphologie du fragment, alors qu'en microgravité, la force motrice pour le mouvement des fragments est l'écoulement du fluide interdendritique induit par la contraction du solide. L'effet d'un champ magnétique permanent sur la solidification des grains équiaxes dans un gradient de température a été également étudié. Nous avons montré qu'un couplage entre le gradient de température et le champ magnétique donne naissance à une force Thermo-électromagnétique qui agit sur les grains solides. Une bonne description a été obtenue en utilisant un modèle analytique pour une particule sphérique. Enfin, nous avons étudié l'évolution d'une zone pâteuse dans un gradient de température fixe. Trois régimes successifs ont été identifiés, suivant l'intensité de la diffusion du soluté dans la zone pâteuse et dans le bain fondu. L'analyse quantitative des radiographies par traitement d'image a clarifié le rôle de chaque phénomène de diffusion (TGZM, fermeture des canaux, murissement et diffusion du soluté dans le bain fondu). / X-ray radiography with synchrotron and microfocus sources was applied to investigate various time-dependent phenomena related to directional solidification of Al-Cu alloys. Gravity effects were investigated by a comparative study of ground and microgravity experiments in the framework of ESA-MAP XRMON project. Fragment motion was the major subject of our investigation. On Earth, fragmentation motion was imposed by buoyancy, with a strong dependency on wall influence and fragment morphology, whereas in microgravity conditions, the driving force for fragment motion is the interdendritic fluid flow induced by the solid shrinkage. The effect of a permanent magnetic field on the solidification of equiaxed grains in a temperature gradient was also studied. We have shown that a coupling between the temperature gradient and the magnetic field gives birth to a Thermo-Electro-Magnetic force that acts on the solid grains. A good description was obtained by using an analytical model for a spherical particle. Finally we studied the evolution of the mushy zone in a fixed temperature gradient. Three successive regimes were identified, depending on the relative magnitude of solute diffusion in the mushy zone and in the bulk liquid. Quantitative analysis of radiographs by image processing enlightened the role of each diffusion phenomena (TGZM, channel closure, coarsening and solute diffusion in the bulk liquid).

Cette thèse présente des mesures de transport électronique dans des systèmes bi-dimensionels et uni-dimensionels à base de graphène sous champ magnétique pulsé (60T). L'objectif de ces travaux consiste à sonder la dynamique des porteurs de charge en modifiant la densité d'états du système par l'application d'un champ magnétique. Une première partie est consacrée à l'étude de l'influence des îlots électrons-trous sur les propriétés de transport du graphène au voisinage du point de neutralité de charge. Nous avons constaté l'apparition de fluctuations de la magnéto-résistance liée à la transition progressive des îlots de taille finie dans le régime quantique lorsque le champ magnétique augmente. Nous avons aussi montré que la variation de l'énergie de Fermi, liée à l'augmentation de la dégénérescence orbitale des niveaux de Landau, est directement responsable d'une modification du ratio entre électrons et trous. Dans une deuxième partie consacrée à l'étude des nanorubans de graphène, nous avons exploré deux gammes de largeur différentes. Dans les rubans larges (W>60nm), la quantification de la résistance a été observée révélant ainsi une signature évidente de la quantification du spectre énergétique en niveaux de Landau. Le confinement magnétique des porteurs de charge sur les bords des nanorubans a permis de mettre en évidence, pour la première fois, la levée de dégénérescence de vallée liée à la configuration armchair du ruban. Pour des rubans plus étroits (W<30nm), en présence de défauts de bord et d'impuretés chargées, la formation progressive des états de bords chiraux donne lieu à une magnéto-conductance positive quelque soit la densité de porteurs. Enfin, la dernière partie traite du magnéto-transport dans le graphene multi-feuillet. En particulier, nous avons observé l'effet Hall quantique dans les systèmes tri-couche de graphène. Une étude comparative des résultats expérimentaux avec des simulations numériques a permis de déterminer l'empilement rhombohedral des trois couches de graphene constituant l'échantillon / This thesis presents transport measurements on two-dimensional and one-dimensional graphene-based systems under pulsed magnetic field (60T). The objective of this work is to probe the dynamics of charge carriers by changing the density of states of the system by applying a strong magnetic field. The first part is devoted to the study of the influence of electron-hole pockets on the transport properties of graphene near the charge neutrality point. We found the appearance of fluctuations in the magneto-resistance due to the progressive transition of the electron/hole puddles of finite size in the quantum regime as the magnetic field increases. We have also shown that the variation of the Fermi energy, due to the increase of orbital Landau level degeneracy, is directly responsible of a change in the electron and hole ratio. The second part is devoted to the study of graphene nano-ribbons, we explored two different ranges of width. In the broad nano-ribbons of width W larger than 60 nm, the quantification of the resistance is observed, revealing a clear signature of the quantization of the energy spectrum into Landau levels. We show for the first time the effect of valley degeneracy lifting induced by the magnetic confinement of charge carriers at the edges of the armchair nano-ribbons. For narrower nano-ribbons (W <30 nm) in presence of edge defects and charged impurities, the progressive formation of chiral edge states leads to a positive magneto-conductance whatever the carrier density. Finally, the last part of this thesis deals with magneto-transport fingerprints in multi-layer graphene as we observed the quantum Hall effect in tri-layer graphene. A comparative study of the experimental results with numerical simulations was used to determine the rhombohedral stacking of three layers of graphene in the sample

Dans cette thèse je me suis intéressé au caractère relativiste de matériaux topologiques tridimensionnels : les semi-métaux de Weyl et les isolants topologiques. Après une introduction aux états de surfaces et aux matériaux topologiques, je discute leurs propriétés de covariance sous les rotations trigonométriques et hyperboliques. Ces transformations me permettent de traiter les équations du mouvement d'un électron dans un champ magnétique ou à la surface, sous l'influence d'un champ électrique ou d'une inclinaison de la relation de dispersion. En première partie, je l'illustre dans le cas de la réponse magnéto-optique des semi-métaux de Weyl, en présence d'une inclinaison. Ces calculs sont en lien avec ma collaboration avec les expérimentateurs du LNCMI à Grenoble pour la caractérisation de la structure de bande de Cd₃As₂ où l'on montre que ce matériau est un semi-métal de Kane et non un semi-métal de Dirac dans la gamme de potentiels chimiques expérimentalement accessible. L'autre partie de cette thèse porte sur les états de surface des isolants topologiques où l'on montre qu'il existe des états de surface massifs au-delà de l'état de surface chiral. Ces états semblent avoir été observés par des études en ARPES d'échantillons de Bi₂Se₃ et Bi₂Te₃ oxydés et par des mesures de transport sur HgTe déformé. J'ai ainsi eu l'occasion de travailler avec les expérimentateurs du LPA à Paris sur le comportement des états de surface de HgTe sous forts effets de champ. Je termine par une discussion des états à l'interface entre un semi-métal de Weyl et un isolant dans le cas où le gap de ce dernier est suffisamment petit pour observer l'effet d'un champ magnétique et d'une inclinaison de la relation de dispersion sur les états de surface. / During my PhD studies I focused on the relativistic properties of threedimensional topological materials, namely Weyl semimetals and topological insulators. After introducing surface states and topological materials I discuss their covariance in trigonometric and hyperbolic rotations. These transformations help to solve the equations of motion of an electron in a magnetic field or at the surface with an applied electric field or with a tilt in the band dispersion. In a first place, I illustrate these transformations for the magneto-optical response of tilted Weyl semimetals. This work is related to my collaboration with experimentalists at LNCMI, Grenoble for characterizing the band structure of Cd₃As₂ where we show that this material is a Kane semi-metal instead of a Dirac semi-metal in the experimentally accessible range of chemical doping. The other part of this thesis is concerned with the surface states of topological insulators. I show that massive surface states can also exist in addition to the chiral surface state due to band inversion. Such states may have already been observed in ARPES measurement of oxidized Bi₂Se₃ and Bi₂Te₃ and in transport measurement of strained bulk HgTe. I show the work we performed with experimentalists at LPA, Paris on the behavior of HgTe surface states for strong field effects. Finally, I discuss the states at the interface of a Weyl semimetal and a small gap insulator. In this situation, an applied magnetic field or the tilt of the band dispersion can strongly affect the observed surface states.

The study investigated the impact of computer simulations on the teaching and learning of electromagnetism in grade 11. Electromagnetism is a section of the Physical Science curriculum. Two grade 11 classes in the Mgwenya circuit in Mpumalanga province of South Africa were used as a case study. Using a pre-test, post-test non-equivalent control group design, it was found that learners in the experimental group (n = 30) who were taught using the simulations achieved significantly higher scores on the post-test than learners in the control group (n = 35) who were taught using traditional teacher-centred teaching method; (t statistic = 3.582, df = 56, p<0.05). Learners were more active during the lessons, predicting, observing, discussing and explaining concepts. The use of simulations also provided support (scaffolding) that the learners need to enhance learning. The Hake’s normalized gain for the experimental group <g> = 0.32 compared to <g> = 0.18 for the control group confirmed conceptual improvement. Both teachers and learners indicated that they accept the use of computer simulations in teaching and learning of electromagnetism. / Science and Technology Education / M. Sc. (Mathematics, Science and Technology Education)

In dieser Arbeit werden Möglichkeiten zur Homogenisierung von Widerstandsprofilen entlang von phosphordotierten, gerichtet erstarrten, multikristallinen Silizium (mc-Si) Blöcken für PV-Anwendungen untersucht. Die im Rahmen der Dissertation durchgeführte analytische Untersuchung konzentriert sich auf den Phosphortransport in der Siliziumschmelze, an der Grenzfläche zwischen Kristall und Schmelze, an der Schmelzenoberfläche und in der Gasphase oberhalb der Schmelze. Es wurden drei Prozessparameter identifiziert, die den stärksten Einfluss auf die Phosphorverteilung in multikristallinen Blöcken haben: die Durchmischung der Schmelze, der Gesamtgasdruck in der Anlage und der Gasfluss über der Schmelze. Variationen in der Stärke der TMF sind sinnvoll, um die Phosphorverteilung entlang der Barrenhöhe zu beeinflussen. Ein schwaches TMF bewirkt eine gleichmäßigere Dotierstoffverteilung und führt zu einem verringerten spezifischen Widerstand des Blocks in den Anfangsstadien der Kristallisation, während ein starkes TMF einen signifikanten Effekt auf die Phosphorverdampfung hat und zu einem Anstieg des spezifischen Widerstandes zum Ende des Blocks hin führt. Die Ergebnisse der Experimente zeigten, dass die Verringerung des Gasdrucks zu einer deutlich verstärkten Phosphorverdampfung von der freien Schmelzenoberfläche führt und damit den spezifischen Widerstand des erstarrten Blocks erhöht, vor allem gegen dessen Ende hin. Die während der Studie gewonnenen Erkenntnisse wurden für die Optimierung der typischen G1-Wachstumsrezeptur verwendet. Die mit diesem Rezept gezüchteten G1 mc-Si Blöcke zeigen eine gleichmäßigere Widerstandsverteilung als solche, die mit einem typischen Rezept gezüchtet wurden. Die Widerstandsvariation wurde auf 55 % verringert und erfüllte den von der Marktspezifikation vorgegebenen Zielbereich von 3,0 - 1,0 Ω·cm. Die entwickelte Rezeptur wurde erfolgreich für die gerichtete Erstarrung mit Keimvorgabe übertragen. / The research described in this thesis is focused on homogenization of resistivity profiles along phosphorus-doped directionally solidified multicrystalline silicon (mc-Si) ingots for PV application. The analytical study conducted within the framework of the thesis is focused on phosphorus transport in the silicon melt, at the crystal-melt interface, at the melt surface and in the gaseous phase above the melt. Three process parameters were identified to have the most dominant influence on phosphorus distribution in multicrystalline ingots: melt mixing, furnace ambient gas pressure and gas flow above the melt. It was found that variations in strength of TMF could be used to control the phosphorus distribution along the ingot’s length. Weak TMF provokes more uniform dopant distribution and results in decreased ingot resistivity at the initial stages of crystallization, while strong TMF has more prominent effect on phosphorus evaporation that leads to the increase of resistivity towards the ingot’s end. The results of experiments demonstrated that reduction of ambient gas pressure leads to significantly intensified phosphorus evaporation from the free melt surface and increases the resistivity of the solidified ingot, especially towards its end. The findings obtained during the study were used for the adjustment of the typical G1 growth recipe. Conventional G1 mc-Si ingots grown using this recipe show more uniform resistivity distribution than those grown using a typical one. Resistivity variation was reduced to 55% and met the target range of 3.0 – 1.0 Ω·cm set by market specification. The developed recipe was successfully replicated for directional solidification seeded growth.

This diploma thesis covers the topic of magnetic fluids and their utilisation in hydrodynamic dampers. The first part of the work consists of research on the current state of technology in hydraulic dampers with the focus on dampers using magnetorhelogical fluid. This chapter is followed by research on magnetic fluids with regard to their physical properties and mathematical description, which is used for CFD simulation of flow. The second part deals with the computational simulation of the flow of MR liquid in real MR damper in order to determine the damping characteristic and it's comparison with the experimental data.