3 resultados para apollonian packings

em Doria (National Library of Finland DSpace Services) - National Library of Finland, Finland


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This work concerns the experimental study of rapid granular shear flows in annular Couette geometry. The flow is induced by continuous driving of the horizontal plate at the top of the granular bed in an annulus. The compressive pressure, driving torque, instantaneous bed height and rotational speed of the shearing plate are measured. Moreover, local stress fluctuations are measured in a medium made of steel spheres 2 and 3 mm in diameter. Both monodisperse packing and bidisperse packing are investigated to reveal the influence of size diversity in intermittent features of granular materials. Experiments are conducted in an annulus that can contain up to 15 kg of spherical steel balls. The shearing granular medium takes place via the rotation of the upper plate which compresses the material loaded inside the annulus. Fluctuations of compressive force are locally measured at the bottom of the annulus using a piezoelectric sensor. Rapid shear flow experiments are pursued at different compressive forces and shear rates and the sensitivity of fluctuations are then investigated by different means through monodisperse and bidisperse packings. Another important feature of rapid granular shear flows is the formation of ordered structures upon shearing. It requires a certain range for the amount of granular material (uniform size distribution) loaded in the system in order to obtain stable flows. This is studied more deeply in this thesis. The results of the current work bring some new insights into deformation dynamics and intermittency in rapid granular shear flows. The experimental apparatus is modified in comparison to earlier investigations. The measurements produce data for various quantities continuously sampled from the start of shearing to the end. Static failure and dynamic shearing ofa granular medium is investigated. The results of this work revealed some important features of failure dynamics and structure formation in the system. Furthermore, some computer simulations are performed in a 2D annulus to examine the nature of kinetic energy dissipation. It is found that turbulent flow models can statistically represent rapid granular flows with high accuracy. In addition to academic outcomes and scientific publications our results have a number of technological applications associated with grinding, mining and massive grain storages.

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Lateksinvalmistusprosessin aikana syntyvää jätevettä käsitellään täytekappalekolonnissa siinä olevien haihtuvien orgaanisten yhdisteiden poistamiseksi. Käsittelyprosessin aikana jätevedessä oleva kiintoaine kiinnittyy täytekappaleiden pinnalle, lopulta tukkien ne. Täytekappaleiden vaihtotyö sekä likaantuneiden täytekappaleiden pesu aiheuttavat kustannuksia. Lainsäädäntö ja sopimus kunnallisen jäteveden käsittelyn kanssa vaativat, että haihtuvien yhdisteiden päästöt lasketaan tietyn tason alapuolelle. Työn ensimmäisenä tavoitteena oli tutkia lateksitehtaan jätevesivirtojen koostumusta massa- ja ainetaseiden avulla, erityisesti täytekappalekolonnia likaavan aineen osalta. Toisena tavoitteena oli löytää menetelmiä pidentää täytekappalekolonnin ajojaksoa nykyisestä. Kolmantena tavoitteena oli löytää tai kehittää esikäsittelymenetelmä likaavan aineen poistamiseksi ennen täytekappalekolonnia. Viimeisenä tavoitteena oli optimoida prosessin ajotapa, josta saavutettaisiin säästöjä vähentyneenä energiankulutuksena. Tutkimuksen perusteella täytekappalekolonni poistaa syntyvästä jätevedestä haihtuvia orgaanisia yhdisteitä 100 prosenttia sekä kemiallista hapenkulutusta 99,5 prosenttia. Täytekappalekolonnin ajojaksoa voidaan pidentää ennakoimalla kolonnin ylä- ja alapään paine-eron perusteella sen likaantumisastetta ja täytekappaleiden vaihtotarvetta. Tutkimuksen perusteella soveltuvia jäteveden esikäsittelymenetelmiä ovat dekantointi, jossa kuuden tunnin viipymällä poistetaan kiintoainetta sekä hallittu kiintoaineen saostus, jossa kymmenen minuutin viipymällä poistetaan sekä haihtuvia orgaanisia yhdisteitä, että kiintoainetta. Energiankulutusta voidaan optimoida vähentämällä höyryn virtausta täytekappalekolonniin erotustehokkuuden siitä kärsimättä.

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Innovative gas cooled reactors, such as the pebble bed reactor (PBR) and the gas cooled fast reactor (GFR) offer higher efficiency and new application areas for nuclear energy. Numerical methods were applied and developed to analyse the specific features of these reactor types with fully three dimensional calculation models. In the first part of this thesis, discrete element method (DEM) was used for a physically realistic modelling of the packing of fuel pebbles in PBR geometries and methods were developed for utilising the DEM results in subsequent reactor physics and thermal-hydraulics calculations. In the second part, the flow and heat transfer for a single gas cooled fuel rod of a GFR were investigated with computational fluid dynamics (CFD) methods. An in-house DEM implementation was validated and used for packing simulations, in which the effect of several parameters on the resulting average packing density was investigated. The restitution coefficient was found out to have the most significant effect. The results can be utilised in further work to obtain a pebble bed with a specific packing density. The packing structures of selected pebble beds were also analysed in detail and local variations in the packing density were observed, which should be taken into account especially in the reactor core thermal-hydraulic analyses. Two open source DEM codes were used to produce stochastic pebble bed configurations to add realism and improve the accuracy of criticality calculations performed with the Monte Carlo reactor physics code Serpent. Russian ASTRA criticality experiments were calculated. Pebble beds corresponding to the experimental specifications within measurement uncertainties were produced in DEM simulations and successfully exported into the subsequent reactor physics analysis. With the developed approach, two typical issues in Monte Carlo reactor physics calculations of pebble bed geometries were avoided. A novel method was developed and implemented as a MATLAB code to calculate porosities in the cells of a CFD calculation mesh constructed over a pebble bed obtained from DEM simulations. The code was further developed to distribute power and temperature data accurately between discrete based reactor physics and continuum based thermal-hydraulics models to enable coupled reactor core calculations. The developed method was also found useful for analysing sphere packings in general. CFD calculations were performed to investigate the pressure losses and heat transfer in three dimensional air cooled smooth and rib roughened rod geometries, housed inside a hexagonal flow channel representing a sub-channel of a single fuel rod of a GFR. The CFD geometry represented the test section of the L-STAR experimental facility at Karlsruhe Institute of Technology and the calculation results were compared to the corresponding experimental results. Knowledge was gained of the adequacy of various turbulence models and of the modelling requirements and issues related to the specific application. The obtained pressure loss results were in a relatively good agreement with the experimental data. Heat transfer in the smooth rod geometry was somewhat under predicted, which can partly be explained by unaccounted heat losses and uncertainties. In the rib roughened geometry heat transfer was severely under predicted by the used realisable k − epsilon turbulence model. An additional calculation with a v2 − f turbulence model showed significant improvement in the heat transfer results, which is most likely due to the better performance of the model in separated flow problems. Further investigations are suggested before using CFD to make conclusions of the heat transfer performance of rib roughened GFR fuel rod geometries. It is suggested that the viewpoints of numerical modelling are included in the planning of experiments to ease the challenging model construction and simulations and to avoid introducing additional sources of uncertainties. To facilitate the use of advanced calculation approaches, multi-physical aspects in experiments should also be considered and documented in a reasonable detail.