Une étude expérimentale a été menée sur le sillage d’un cylindre circulaire stratifié dans le but de décrire l’effet de l’inclinaison et de la stratification sur les instabilités tridimensionnelles d’un sillage. Principalement 4 modes instables ont été trouvés.Ces résultats mettent ainsi en évidence le fait que la stratification et l’angle d’in- clinaison modifient fortement la transition d’un écoulement 2D à 3D du sillage d’un cylindre avec la présence de nouveaux modes instables. / An experimental study has been delineated of a stratified wake of a circular cy- linder in order to describe the effect of the tilt and of the stratification on the 3D instabilities of the wake. Principally, four unstable modes have been figured out.These results highlight the fact that the stratification strongly modifies the transition from a 2D to a 3D flow in a cylinder wake, with the presence of new unstable modes. The tilt of the cylinder with respect to the vertical plays a major role, such that a study limited to a vertical or a horizontal cylinder misses a lot of the rich dynamics of the tilted wake.

It is not uncommon to use unidimensional item response theory (IRT) models to estimate ability in multidimensional data. Therefore it is important to understand the implications of summarizing multiple dimensions of ability into a single parameter estimate, especially if effects are confounded when applied to computerized adaptive testing (CAT). Previous studies have investigated the effects of different IRT models and ability estimators by manipulating the relationships between item and person parameters. However, in all cases, the maximum information criterion was used as the item selection method. Because maximum information is heavily influenced by the item discrimination parameter, investigating a-stratified item selection methods is tenable. The current Monte Carlo study compared maximum information, a-stratification, and a-stratification with b blocking item selection methods, alone, as well as in combination with the Sympson-Hetter exposure control strategy. The six testing conditions were conditioned on three levels of interdimensional item difficulty correlations and four levels of interdimensional examinee ability correlations. Measures of fidelity, estimation bias, error, and item usage were used to evaluate the effectiveness of the methods. Results showed either stratified item selection strategy is warranted if the goal is to obtain precise estimates of ability when using unidimensional CAT in the presence of two-dimensional data. If the goal also includes limiting bias of the estimate, Sympson-Hetter exposure control should be included. Results also confirmed that Sympson-Hetter is effective in optimizing item pool usage. Given these results, existing unidimensional CAT implementations might consider employing a stratified item selection routine plus Sympson-Hetter exposure control, rather than recalibrate the item pool under a multidimensional model.

Os conceitos de competência do escoamento e de capacidade de transporte foram desenvolvidos para escoamentos fluviais e acabam sendo transferidos para a modelagem de correntes de turbidez. No entanto, não é claro até que ponto o estabelecimento de analogias entre o ambiente fluvial e as correntes de turbidez pode ser realizado. Nesse contexto, o principal objetivo deste trabalho foi avaliar os conceitos de competência e de capacidade nas correntes de turbidez. O estudo foi desenvolvido experimentalmente, em um canal de inclinação variável de 4 m de comprimento, 40 cm de altura e 12 cm de largura. Um leito móvel foi construído em um trecho intermediário do canal utilizando sedimento - carvão mineral (ρ = 1405 kgm³) - com tamanho areia média. No total, 30 simulações de correntes de turbidez contínuas foram realizadas, utilizando o mesmo sedimento, porém com tamanho areia muito fina. Foram simuladas três declividades diferentes (6%, 0,3% e 0,015%), vazões de injeção entre 15 e 25 lmin, concentrações iniciais variando entre 0,03% e 5,5% e a duração dos ensaios ficou compreendida entre 3 e 30 min. O levantamento do perfil longitudinal do leito móvel, antes e após o ensaio, foi realizado e todo o sedimento foi coletado. Três quantidades distintas de sedimento foram quantificadas: a quantidade depositada antes do leito móvel, a quantidade depositada no leito móvel e a quantidade depositada depois do leito móvel. O cálculo da eficiência de transporte das correntes de turbidez no trecho do leito móvel, bem como das suas descargas sólidas, foi realizado. Também foram realizadas análises granulométricas do sedimento depositado antes e após do leito móvel. Por fim, parâmetros do fluxo foram obtidos (altura e velocidade) através de análises visuais e números adimensionais clássicos do transporte sólido em canais abertos foram avaliados. A partir da interpretação dos dados, conclui-se que os conceitos de competência do escoamento e de capacidade de transporte não foram capazes de refletir o diâmetro característico do sedimento transportado pelas correntes simuladas e a capacidade máxima de transporte desses fluxos, como normalmente ocorre em escoamentos fluviais. A relação entre a eficiência de transporte desses fluxos e a descarga sólida dos mesmos indicou que a partir de uma região a eficiência tornou-se invariante. Essa relação possui curvas com tendência logarítmica e as suas assíntotas ocorreram em valores de eficiência da ordem de 50% (inclinação de 6%) e de 40% (inclinações de 0,3% e 0,015%). A relação entre o diâmetro característico do sedimento depositado depois do leito e antes do leito indicou uma diminuição de cerca de 18% no tamanho dos grãos depositados a jusante. / The modeling of turbidity currents uses the concepts of competence and flow capacity that have been developed based on river hydraulics. However, the analogies between the fluvial environment and turbidity currents are not very clear. The main purpose of this study was to evaluate the competence and flow capacity of turbidity currents. The study was performed using an experimental channel 4 m long, 40 cm high, and 12 cm wide with variable slope. A mobile bed of medium sand-size - mineral coal (ρ=1405 kgm³) - was constructed in an intermediate area of the channel. In total, 30 simulations of continuous turbidity currents were performed and the sediment used in the turbidity currents was very fine sand-size mineral coal. The simulations were accomplished considering three different channel slopes (6%, 0.3% e 0.015%); injection discharge varied between 15 and 25 l/min, and initial volumetric concentrations varied between 0.03% and 5.5%. The simulations lasted between 3 and 30 minutes. The longitudinal profile of the mobile bed was analyzed before and after each simulation, and all the sediment was collected at the end. Three different amounts of sediment were quantified: the amount of sediment deposited before, on, and after the mobile bed. Based on this data, both the transport efficiency and solid discharge of the turbidity current on the mobile bed were determined. Particle-size distribution of the deposited sediment before and after the mobile bed was also carried out. Finally, flow parameters were obtained (high and velocity) considering visual evaluation and the classical dimensional numbers in sediment transport in open channel flows were analyzed. The data interpretation revealed that the competence and flow capacity parameters were not able to reflect the grain diameter transported by the simulated currents and a maximum flow capacity of these flows, as usually is observed in fluvial flows. The relation between the transport efficiency and solid discharge of these flows demonstrated that after a certain point, the efficiency became constant. This relation resulted in log trend curves with asymptotes located at efficiency values of approximately 50% (6% slope) and 40% (0.3% and 0.015% slopes). The characteristic diameter of the sediment deposited after the mobile bed presented a reduction of 18% when compared to the sediment deposited before the mobile bed.

A computational fluid dynamics (CFD) methodology is presented to predict density stratified flows in the near-field of ships and submarines. The density is solved using a higher-order transport equation coupled with mass and momentum conservation. Turbulence is implemented with a k-ε/k-ω based Delayed Detached Eddy Simulation (DDES) approach, enabling explicit solution of larger energy-containing vortices in the wake. Validation tests are performed for a two-dimensional square cavity and the three-dimensional stratified flow past a sphere, showing good agreement with available data. The near-field flow of the self-propelled Research Vessel Athena advancing in a stably stratified fluid is studied, as well as the operation in stratified flow of the notional submarine Joubert BB2 also in self-propelled condition. The resulting density, velocity, pressure and turbulent quantities at the exit plane of the near-field computation contain a description of the relevant scales of the flow and can be used to compute the far-field stratified flow, including internal waves. The generation of internal waves is shown in the case of the submarine for two different conditions, one with the pycnocline located at the propeller centerline, and the second with the pycnocline located slightly below the submarine, concluding that distance to the pycnocline strongly affects the internal wave generation due to the presence of the vessel. It is also shown that, as in the case of surface waves, the generation of internal waves requires energy that results in an increase in resistance. For the case of the surface ship the near field wakes are mostly affected by the separation at the wet transom and propeller mixing. However, in the case of the underwater vessel, the disturbance of the background density profile by the presence of the submarine affects the near-field wakes. Finally, the dead-water phenomenon, which occurs at very low Froude numbers, is studied for R/V Athena. Though the dead water problem has been studied in the literature using potential flow methods, this thesis presents the first attempt at using computational fluid dynamics (CFD) to analyze the flow. Results show that, while CFD can reproduce trends observed in potential flow studies, viscous effects are significant in the wake and the friction coefficient.

<div>Computational studies are performed on a Cambridge Stratified Swirl burner (SwB), a lean premixed stratified flame, by using the Reynolds Averaged Navier Stokes (RANS) model and the transported Probability Density Function (PDF) model. The SwB burner was measured</div><div>by Sweeney et al. (Combustion and Flame, 2012, 159: 2896-2911), and comprehensive data are available for model validation, e.g., the mean and root-mean-square values of velocity, temperature, and species mass fractions. The experimental data are available for sixteen different cases to investigate flames in premixed and stratified regimes, with or without swirl. In this study, we consider only non-swirling, premixed and stratified cases. Different</div><div>turbulence models are examined in the modeling studies, and the Reynolds Stress model with standard model constant values is found to perform well with the transported PDF model. A joint PDF for enthalpy and species mass fractions allows for the highly non-linear reaction term in the transport equation to be completely closed. The mixing term arising from molecular diffusion is not closed and requires modeling which is a significant challenge. For the SwB, we consider a series of mixing models including the Interaction by Exchange with the Mean (IEM) mixing model with different mixing model constants, the Modified Curl model, and two mixing models designed for premixed combustion from the literature. We first examine the models in the non-stratified/premixed case (SwB1) to isolate the effect</div><div>of other conditions from stratification on the model predictions. The stratification is then added in two levels, a moderately stratified case (SwB5) and a highly stratified case (SwB9). The predicted results are compared with the experimental data at various locations, inside and outside the recirculation zone in the burner. In general, good agreement is obtained for the velocity fields inside the recirculation zone. Good agreement is also obtained</div><div>of the predicted and measured results is obtained for the mean values of temperature and species mass fractions. The scalar fluctuations are generally underpredicted. Overall, the employed modeling method is able to capture the mean flame structure reasonably well in lean premixed stratified flames. Some limitations are noticed, e.g., the underprediction of scalar fluctuations, and overprediction of CH4 concentration in the stratified cases. These observations are useful for guiding the future research directions.</div>

<p>Little work has been done to estimate turbulence characteristics in the hypolimnetic waters of large lakes, where the magnitude and vertical structure of turbulent parameters have important implications for nutrient cycling and benthic exchange. In this thesis, hypolimnetic mixing is investigated over the annual stratification cycle in a large lake using a series of experiments in Lake Michigan that utilize acoustic Doppler velocimeters, thermistors, and microstructure profilers to characterize mean flow and turbulence throughout the water column. More than 500 days of physical limnological data were collected and analyzed over the course of this study, creating the most comprehensive data set of its kind in the Laurentian Great Lakes. While we found that bottom boundary layer turbulence and mean flow follow law-of-the-wall predictions in the mean, individual estimates were shown to deviate significantly from canonical expectations, with deviations linked to weakly energetic flow conditions (i.e. low speeds) and seiche-scale flow unsteadiness. Bottom boundary layer characteristics, including the mean current speed (U₅₀=3 cm/s), drag coefficient (Cd₅₀=0.0052), and turbulent kinetic energy dissipation (ϵ₅₀ =10^-8 W/kg), showed very little seasonal variation, despite highly variable surface forcing (e.g. stratification, wind speeds). Full water column turbulence profiles measured during the stratified summer were largely buoyancy suppressed, with internal Poincaré waves driving enhanced turbulent kinetic energy dissipation (ϵ= 10^-7 W/kg) in the relatively compact thermocline and weak hypolimnetic mixing (turbulent scalar diffusivity: K_z=10^-6 m²/s) limiting benthic nutrient delivery. Although small temperature gradients drove strong mixing over the isothermal period (K_z=10^-3 m²/s), velocity shear was overwhelmed by weakly stable stratification (Richardson number:Ri≈0.2), limiting the development of the surface mixed layer and suppressing hypolimnetic turbulence (ϵ=10^-9 W/kg; K_z=10^-4 m²/s). When surface temperatures fell below the temperature of maximum density (T_MD≈ 4℃), radiative convection played a major role in driving vertical transport, with energetic full water column mixing throughout the day followed by surface cooling and restratification overnight. During this “convective winter” period, daily temperature instabilities were directly correlated with elevated turbulence levels (ϵ=10^-7 W/kg; K_z≈10^-1 m²/s), and overnight turbulence characteristics were similar to those observed over the isothermal spring. Near surface dissipation and diffusivity measurements followed similarity scaling arguments, with wind shear and surface fluxes dominating production in the surface mixed layer during all three seasons. Together, these results are used to model the influence of invasive dreissenids over each forcing period, providing insight into the annual variability of effective filtration rates in the calm, hypolimnetic waters of Lake Michigan.</p><p></p>

Background: US adolescent obesity rates have quadrupled over the past 3 decades. Research examining complex factors associatedwith obesity is limited.Objectives: The purpose of this study was to utilize a representative sample of students (grades 6 - 8) in Tennessee to determine theco-occurrence of risk behaviors with adolescent obesity prevalence and to analyze variations by strata. Methods: The 2010 youth risk behavior survey dataset was used to examine associations of obesity with variables related to sampledemographics, risk and protective behaviors, and region. Hierarchical logistic regression analyses stratified by demographics andregion were conducted to evaluate variation in obesity risk occurring on three hierarchical levels: class, school and district. Results: The sample consisted of 60715 subjects. The overall obesity rate was 22%. High prevalence of obesity existed in males, non-white race, those ever smoked and was positively correlated with age. Across three state regions, race, gender, and specific behaviors (smoking, weight misperception, disordered eating, +3 hours TV viewing, and no sports team participation) persisted as significantpredictors of adolescent obesity, although variations by region and demographics were observed. Multilevel analyses indicate that< 1%, 0 - 1.97% and4.03 - 13.06% of the variation in obesity was associated with district, school and class differences, respectively, whenstratifying the sample by demographic characteristics or region. Conclusions: Uniform school-based prevention efforts targeting adolescent obesity risk may have limited impact if they fail torespond to geographical and demographic nuances that hierarchal modeling can detect. Study results reveal that stratified hi-erarchical analytic approaches to examine adolescent obesity risk have tremendous potential to elucidate significant prevention insights.

In order to increase the efficiency of an adsorption heat pump system, a stratified thermal heat storage can be used to enable regeneration of heat between the different phases of the process. It’s crucial to avoid mixing and to keep layers intact inside the storage tank. As mixing generally occurs during charging and discharging, the aim of this project is minimizing these effects by introducing porous media into the region of the inlet ports. The impact of porous media on laminar and turbulent flow inside stratified thermal storage tanks is qualitatively and quantitatively investigated. Two thermal storage tanks are examined in which polyurethane foam is used as porous medium. Numerical results are compared with experimental results in order to study the effects of the porous medium and validating numerical models. For the quantitative investigation, equations describing flow in porous media are obtained and implemented into computational fluid dynamics (CFD) models. Simulations of storage tanks are performed by means of 2D-axisymmetric domain models. Tanks are investigated qualitatively using two methods; background oriented schlieren (BOS) and ink colored inlet water, in order to visualize flow and mixing inside tanks. Thermo elements are also used to measure temperatures at given locations. Results from experimental- and numerical cases show how porous media influence stratification in a positive way. Flow visualizing experiments (using ink and BOS) showed decrease in thermocline thickness when using polyurethane foam. This could also be seen for the numerical cases. Experimental- and numerical investigations of the ability of porous media to damp turbulence intensity and kinetic energy, showed a positive effect. Further improvements have to be done, adjusting numerical models to experimental results. Comparison between the numerical- and experimental results showed differences both in flow fields and temperature distributions. Results indicate however, that porous media could play an increasing role in the development of stratified heat storages. / Stratifierade värmelagringstankar kan användas för att öka effektiviteten hos adsorptionsvärmepumpsprocesser genom att möjliggöra regeneration av värme mellan faserna. För att dessa effektivt ska kunna användas är det viktigt att temperaturskikt hålls intakta inuti lagringstankarna och att omröring undviks. Då omröring oftast uppstår vid laddning och tömning av lagringstankarna är målet för det här projektet att minska denna effekt genom att använda porösa medier vid deras inlopp. Porösa mediers inverkan på flöden och temperaturskikt inuti värmelagringstankar undersöks både kvalitativt och kvantitativt i det här projektet. Två tankar undersöks där polyuretanskum används som poröst medium. Numeriska resultat jämförs med experimentella för att undersöka effekterna av de porösa medierna, samt för att validera de numeriska modeller som används. Ekvationer som beskriver flödet genom porösa medier implementeras i CFD (computational fluid dynamics) modeller och lagringstankarna modelleras som 2D-axelsymmetriska domäner. Bakgrundsorienterad schlierenteknik (BOS) och färgning av inloppsvatten används för den kvalitativa undersökningen och termoelement används för att mäta temperaturer vid olika positioner. Numeriska och experimentella resultat visar hur porösa medier har en positiv inverkan på temperaturskiktningen. Resultat från experiment då BOS teknik och färgning av vatten används visar en minskning av det termoklina skiktets tjocklek med en ökad polyuretanskumtjocklek. Detta kunde också ses för de numeriska fallen. Numeriska och experimentella resultat visar även att porösa medier har en positiv inverkan på dämpningen av turbulens och kinetisk energi. Fortsatt arbete krävs för att anpassa numeriska modeller till experimentella data. Jämförelser mellan numeriska och experimentella resultat uppvisar skillnader både hos flödesfält samt hos temperaturfördelningar inuti tankarna. Resultaten visar dock att porösa medier skulle kunna spela en betydande roll för utvecklingen av stratifierade värmelagringstankar.

Internal waves are generated in stratified fluids, like the ocean, where density increases with depth. Tides are one of the major generation mechanisms of internal waves. As the tides move water back and forth over underwater topography, internal waves can be generated. The shape of the topography plays a major part in the properties of the generated internal wave and the type of wave and energy is known for multiple symmetric topographies, such as Gaussian or sinusoidal. In order to further understand the effects topographic shape plays, the effect of asymmetry on internal waves is investigated. First, two experimental methods are compared to evaluate which will capture the relevant information for comparing waves generated from oscillating asymmetric topographies. Two experimental methods are often used in internal wave research, Synthetic Schlieren (SS) and Particle Image Velocimetry (PIV). Both SS and PIV experimental methods are used to analyze a set of experiments in a variety of density profiles and with a variety of topographies. The results from these experiments are then compared both qualitatively and quantitatively to decide which method to use for further research. In the setup, the larger field of view of SS results in superior resolution in wavenumber analysis, when compared to PIV. In addition, SS is 25% faster to setup and significantly cheaper. These are the deciding factors leading to the selection of SS as the preferred experimental method for further tests regarding tidally generated internal waves from asymmetric topographies. Previous experimental and theoretical research on tidally generated internal waves has most often used symmetric topographies. However, due to the complex nature of real ocean topography, the effect of asymmetry can not be overlooked. A few studies have shown that asymmetry can have a significant effect on internal wave generation, but topographic asymmetry has not been studied in a systematic manner up to this point. This work presents a comparison of tidally generated internal waves from nine different asymmetric topographies, consisting of a steeper Gaussian curve on one side, and a wider Gaussian curve on the other. The wider curve has varying amplitude from 1 to 0.6 of the steeper curve's amplitude, and two oscillation frequencies are explored. First, kinetic energy density in tidally generated internal waves is compared qualitatively and quantitatively, in both physical and Fourier space. When compared to similar symmetric topographies, the asymmetric topographies varied distinctly in the amount of internal wave kinetic energy generated. In general, internal wave kinetic energy generated from asymmetric topographies is higher for waves generated at a lower frequency than at a higher frequency. Also, kinetic energy is higher in internal waves on the relatively steeper side of the topography. There is very little kinetic energy in the higher wavenumbers, with most of the internal waves being generated at the lower wavenumbers. The amplitude does not make an appreciable difference in the wavenumber at which the internal waves are generated. Thus, the differences quantified here are due solely to changing slope, showing a significant impact of a relatively slight asymmetry.

<div>Mixing of stratified fluids due to motion of bubble swarms can happen through two major mechanisms. The first is the capture and transport of heavier liquid into the lighter layers by the bubble wake. The second is the mixing due to turbulent dispersion. Stratification also affects bubble dynamics in various ways, namely by reducing the horizontal and vertical bubble fluctuations and extent, altering the drag experienced by rising bubbles, and changing the wake dynamics. The objective of this study is to understand these explained phenomena by decoupling their effects from each other and studying them individually. CFD offers powerful capabilities to achieve the decoupling and perform in-depth analysis of the fluid flow. </div><div><br></div><div>Firstly, the study of mixing induced in stratified fluids by bubbly flow in a Hele-Shaw Cell will be performed. Simulations are run for a range of void fractions and Froude numbers. The confinement prevents turbulence production, and mixing occurs primarily due to transport of colder liquid into the hotter layers by the bubble wake. Bubbles move in a zigzag motion attributed to the periodic vortex shedding in their wake. We report the formation of horizontal clusters and establish a direct correlation between the size of clusters and the rise velocity of the bubbles. We report an increase in the buoyancy flux across the isopycnals as the void fraction increases. The fraction of energy production due to the buoyancy flux increases with the strength of stratification, giving rise to a higher mixing efficiency. At the same time, cross isopycnal diffusion is higher at weaker stratification strengths.</div><div><br></div><div>Subsequently, direct numerical simulations of up to 146 bubbles rising in unbounded stratified fluids are performed. Both the bubble dynamics and destratification effects caused by the bubble motion are analyzed. The importance of bubble deformability and bubble Reynolds numbers on the induced background mixing are studied by varying the $E\ddot{o}tv\ddot{o}s$ number in the range 1.55 to 4.95 and Reynolds number in the range 25 to 200. Highly deformable, high Reynolds number bubbles undergo path instabilities and give rise to higher levels of mixing. Liquid and bubble velocity fluctuations and pseudo-turbulence caused by the bubble motion in the unconfined setting are examined and are seen to play an important role in mixing statistics. An increase in turbulent kinetic energy (TKE) levels with void fraction is noted. TKE levels are seen to decrease slightly as the stratification strength is increased, indicating increasing stability and resistance to destratification. Regardless of the stratification strength, a kinetic energy spectrum slope value between $-3 \sim -3.25$ is reported depending on Reynolds number. The dependence of mixing parameters on the void-fraction of bubbles and stratification strength of the liquid is also presented. </div><div><br></div><div>Next, the study of buoyancy driven motion of a single air bubble in stratified liquid is undertaken. A range of parameters including Froude number, Reynolds number and Bond number are explored. The Reynolds and Bond numbers will be maintained at values where the bubble motion and wake can be assumed to be axisymmetric. Wake dynamics and drift-volumes associated with the bubble rising in the stratified fluid are analyzed. The presence of secondary and tertiary vortices, which are alternating in direction, in the wake of the bubble due to the negative buoyant force experienced by the isopycnals is reported. The isopycnals oscillate before coming back to their stable state and the frequency of oscillations increases with stratification strength. The dependence of drag coefficient, determined by an unsteady force balance, and steady state bubble velocities, on the above mentioned parameters are studied. Analysis of bubble rise in partial stratification reveals the differences between homogeneous and stratified mediums.</div><div><br></div><div>Since most stratified bubbly flows occur near the free surface, an attempt is made at modeling the bubble rise up-to the free surface and subsequent bubble bursting. A brief study of in-line bubble coalescence is also attempted and potential future work for bubbly flows with topological changes is discussed.</div>