The ladle furnace process is an important process in the steel manufacturing industry. The purpose of this process is to optimize the composition of the elements in the melt as well as to homogenize the temperature in the liquid. It is common practice to model this process using smaller water models. In order to accurately scale these models a variety of criteria and scaling factors are needed. The central phenomenon which all else is derived from is the two-phase gas plume dominating the fluid flows. The plume, and its dependant parameters are difficult to define. Which ones ought to be used and how to use them has not been standardized. Concerns have been raised whether the most common method of scaling is even applicable in ladle metallurgy. This report gives an account for studies concerning these variables and their effect on the subject. The objective of this report is to highlight ways to improve these simulations with respect to debated parameters. The conclusion of this study points out the reasons for why these variables may be of importance for the modeling of the ladle furnace process. It also specifically mentions future work that should be conducted in order to provide deeper knowledge of thedifferent parameters affecting the method of modeling. / Skänkmetallurgin är en viktigt process inom stålindustrin. Syftet med denna process är att optimera den kemiska sammansättningen i smältan och att homogenisera temperaturen i vätskan. Det är vanligt att modelera denna process med hjälp av vattenmodeller. För att träffsäkert skala dessa modeller krävs en mängd kriterier och skal-faktorer. Det mest centrala fenomenet, utifrån vilket allt annat kan härledas, är två-fas gasplymen som dominerar flödena i skänken. Plymen och dess beroende parametrar är svåra att definera. Vilka som bör användas och hur de används har inte standardiserats. Oro har väckts över om den vanligaste skalningsmetoden ens går att använda i skänkmetallurgi. Denna rapport redogör för studier rörande dessa variabler och deras påverkan på ämnet. Syftet med denna rapport är att belysa olika tillvägagångssätt till att förbättra dessa simulationer med hänsyn till debaterade parametrar. Slutsatsen för denna studie lyfter fram anledningarna till varför dessa variabler är av vikt för modellering för skänkmetallurgin. Även framtida arbete som bör utföras föratt ge djupare förståelse för de olika parametrarna belyses.

Hydrodynamic drag testing was conducted for eleven different configurations of IsoTruss® lattice structures. Flow visualization of prototypical IsoTruss® wind towers was also performed using Particle Image Velocimetry instrumentation. The drag test and flow visualization specimens included 6-node and 8-node configurations, single and double-grid geometries, thick and thin member sizes, smooth and rough surface finishes, a helical-only structure, and a smaller outer diameter test specimen. Three sets of hydrodynamic drag tests were conducted in a closed-circuit water tunnel: 1) orientation drag tests, 2) water velocity drag tests, and 3) height variation drag tests. The orientation drag tests measured the hydrodynamic drag force of the IsoTruss® test specimens at five different orientations with an average water velocity of 1.43 mph (0.64 m/s). The water velocity drag tests measured the maximum drag for each IsoTruss® test specimen at water velocities ranging from 0.0 to an average 1.43 mph (0.64 m/s). Based on the average outer structure diameter of the IsoTruss® specimens, the water velocities corresponded to a Reynolds number range of 7,000 to 80,000. Based on the average member diameter, the corresponding Reynolds number spanned from 600 to 3,000. In addition, the height variation drag tests were performed by vertically extracting the IsoTruss® test specimens from the test section at four different immersed height levels, with a maximum immersed height of 7.22 in (18.1 cm). The height variation testing corresponded to a Froude number range of 0.40 to 0.90. The IsoTruss® specimens exhibited an average lower drag coefficient based on the projected cylindrical area than the smooth circular cylinder data throughout the Reynolds number and Froude number ranges. The drag coefficient based on solid member area showed no correlation when shown as a function of the solidity ratio. However, for the drag coefficient calculated from the solid member projected area, the data for all IsoTruss® test specimens collapsed to a 2nd order polynomial when presented as a function of the Froude number, with an R2 of 0.99. Conversely, no significant relationship was shown when the drag coefficient based on projected cylindrical area was plotted versus the Froude number. The hydrodynamic data was compared to aerodynamic data, and the orientation testing results were identical. The hydrodynamic data differed by an average of 17% compared to the non-dimensional aerodynamic results. The flow visualization research revealed that the velocity returned to 2% of the freestream velocity at 1.24 diameters upstream from the prototypical IsoTruss® wind tower. Likewise, the velocity returned to a maximum 4% of the freestream velocity at 0.94 diameters sidestream of the model IsoTruss® wind tower.

The main goal of this study is to define the technique to be used to assess the aggradation (by bed load) and degradation (of sediments) of the recessed as well as non-recessed stilling basins of rectangular cross section; when the hydraulic jump occurs in the stilling basin where the submergence coefficient equals 1,05. It consists of two parts, theoretical and experimental. The theoretical part summarizes the related theory on a hydraulic jump, design of a stilling basin, an incipient motion of sediment, an assessment of silting and scouring of the stilling basin. The second part, the actual experiment, led to the determination of the critical values essential for the assessment. For the evaluation, the nondimensional shear stress and the densimetric Froude number were used.

A small-scale wave energy converter was designed and built for teaching and academic purposes to be used at The Division for Electricity, in the Ångström Laboratory at Uppsala University. The design of the power take-off (PTO) makes use of magnets passing through a copper coil for electricity generation. The magnets are attached by a string to the floating buoy in the small-scale wave tank which leads to a joint oscillation. Design parameters are executed using COMSOL Multiphysics which illustrates the total voltage output generated as well as the total magnetic field. Simulations and calculations in MATLAB were performed to extract the expected damping coefficient and plots of the buoy position compared to the wave amplitude. Lastly, a PTO prototype were built and compared with the simulations. The PTO shows electricity generation with the aid of a voltmeter showcasing the voltage. Additional information on future improvements to further aid teaching and academic understanding of wave energy converter are mentioned in the final section of this study.

Gas stirring is currently the most commonly used method of homogenizing liquid steel in commercial processes. However, due to the harsh environment during the process, physical models built out of e.g. plexiglass have been used to easier understand the complex phenomenon occurring in the process. The models are also used to optimize stirring conditions and estimate mixing times. Instead of liquid steel, water has been used for modelling, to increase safety and reduce costs. The water models are usually scaled down to sizes that are easier to handle. Scaling correctly requires fulfilling commonly used criteria and dimensionless numbers. This report investigated the accuracy of these dimensionless numbers and the relations commonly used for scaling. Existing studies and relations were evaluated, and the theoretically best suitable scaling equations were tested. Three bottom blown vessels were built, in order to test the existing relations. By applying scaling criteria and calculating gas flow rates accordingly, the correlation between theoretical mixing time and measured mixing time could be investigated. This thesis concluded that the correlation between the measured mixing times was not significant, however, by implementing the scale factor λ1/2 a better approximation seems to be given. / Gasomrörning är för tillfället den vanligaste metoden som används för att homogenisera flytande stål i kommersiella processer. På grund av de svåra förhållandena under processen har fysiska modeller, byggda av exempelvis plexiglas, använts. Detta för att enklare förstå de komplexa fenomen som uppstår under processen. Modellerna används också för att optimera omrörningsförhållandena och för att uppskatta blandningstider. Istället för flytande stål har vatten använts vid modellering för att öka säkerheten och minska kostnaderna. Vattenmodellerna är vanligtvis nedskalade till storlekar som är lättare att hantera. En korrekt skalning kräver att vanliga kriterier och dimensionslösa tal uppfylls. Denna rapport undersökte noggrannheten för dessa dimensionslösa tal samt relationer som vanligtvis används vid skalning. Befintliga studier och relationer utvärderades och de teoretiskt mest lämpliga skalningsekvationerna testades. Tre stycken kärl med bottenblåsning byggdes för att testa dessa relationer. Genom att tillämpa skalningskriterier och beräkna gasflödeshastigheterna, kunde korrelationen mellan de teoretiska och uppmätta blandningstiderna undersökas. Denna avhandling drog slutsatsen att korrelationen mellan de uppmätta blandningstiderna inte var signifikant. Dock verkade en bättre approximation fås när skalfaktorn λ1/2 implementerades.

Ce texte de synthèse a pour but de présenter l'´évolution de mes recherches postèrieures à ma thèse. Ce travail s'articule autour de plusieurs axes de recherche dans le cadre des équations aux dérivées partielles non linéaires et en particulier des lois de conservation.<br />Il s'inscrit dans l'étude des problèmes hyperboliques, des problème mixtes et des équations cinétiques. Les domaines d'application sont la mécanique des fluides ou du solide, la propagation de composants chimiques, l'électromagnétisme, l'optique.<br />Mon activité concerne d'abord la modélisation de phénomènes physiques ou chimiques sous forme d'équations aux dérivées partielles non linéaires telles que les équations de Bloch, Korteweg, Navier-Stokes, Saint-Venant, puis vient l'étude mathématique de ces équations à travers les<br />problèmes d'existence, d'unicité, de régularité avec éventuellement la mise au point de méthodes numériques de résolution.<br /> Ce document est divisé en une introduction générale et trois chapitres qui concernent respectivement les systèmes hyperboliques avec conditions aux limites et la chromatographie, les problèmes d'analyse asymptotique et enfin les méthodes cinétiques.<br />Dans chaque partie, un historique et une présentation des différents résultats mathématiques sont faits et quelques problèmes ouverts sont donnés.