Flerfasestrømning er av betydning i en lang rekke anvendelser, blant annet i olje- og gassindustrien, i den kjemiske og i prosessindustrien, inkludert i varmepumpende systemer, samt i sikkerhetsanalyse av kjernekraftverk. Denne avhandlingen analyserer modeller for tofasestrømning, og metoder for numerisk løsning av disse modellene. Den er derfor ett bidrag til å utvikle pålitelige ingeniørverktøy for flerfase-anvendelser. Slike verktøy trengs og forventes av ingeniører i industrien. Den tilnærmede Riemann-løseren framsatt av Roe har blitt studert. Roe-skjema for tre ulike modeller for tofasestrømning har blitt implementert i rammen av en standard numerisk algoritme for løsning av hyperbolske bevaringslover. Disse skjemaene har blitt analysert ved hjelp av referanse-regnestykker fra litteraturen, og ved sammenlikning med hverandre. Et Roe-skjema for den fire-liknings ettrykks tofluid-modellen har blitt implementert, og det har blitt vist at en andreordens utvidelse basert på bølge-dekomponering og fluksdifferanse-splitting virker godt, og gir forbedrede resultater sammenliknet med det førsteordens skjemaet. Det har blitt foreslått et Roe-skjema for en fem-liknings totrykks tofluid-modell med trykkrelaksering. Bruken av analoge numeriske metoder for fire-liknings- og fem-liknings-modellene gjorde det mulig med en direkte sammenlikning av en metode med og uten trykkrelaksering. Numeriske eksperiment demonstrerte at de to framgangsmåtene konvergerte til samme resultat, men at den fem-liknings trykkrelakserings-metoden var betydelig mer dissipativ, særlig for kontakt-diskontinuiteter. Videre viste beregninger at selv om fem-liknings-modellen har reelle egenverdier, så produserte den oscillasjoner for tilfeller der fire-liknings-modellen hadde komplekse egenverdier. Et Roe-skjema har blitt konstruert for driftfluks-modellen med generelle lukningslover. Roe-matrisen er helt analytisk for det tilfellet at man kan anvende Zuber-Findlay-slipp-loven som beskriver boblestrømning. Dermed er dette Roe-skjemaet mer effektivt enn tidligere fullt numeriske Roe-skjema for driftfluks-modellen. En isentropisk diskret-nivå-flerfasemodell har blitt presentert. En diskusjon av hvordan man kan ta hensyn til ulike interfase-trykkmodeller har blitt gitt. Med de passende modellene for interfase-trykk og -fart, var samsvaret svært godt mellom diskret-nivå-modellen og det fem-liknings Roe-skjemaet. Multi-steg- (MUSTA) metoden har som siktemål å komme nær oppstrøms-metodene i nøyaktighet, samtidig som den bevarer enkelheten til sentrerte skjema. Her har metoden blitt brukt på driftfluks-modellen. Når antallet steg økes, nærmer resultatene fra MUSTA-metoden seg det man får med Roe-metoden. De gode resultatene til MUSTA-metoden er avhengige av at man bruker et stort nok lokalt grid. Derfor er hovedfordelen med MUSTA-metoden at den er enkel, snarere enn at man sparer regnetid. En karakteristikk-basert metode for å spesifisere grensebetinglser for flerfase-modeller har blitt testet, og funnet å virke godt for transiente problem. / This thesis analyses models for two-phase flows and methods for the numerical resolution of these models. It is therefore one contribution to the development of reliable design tools for multiphase applications. Such tools are needed and expected by engineers in a range of fields, including in the oil and gas industry. The approximate Riemann solver of Roe has been studied. Roe schemes for three different two-phase flow models have been implemented in the framework of a standard numerical algorithm for the solution of hyperbolic conservation laws. The schemes have been analysed by calculation of benchmark tests from the literature, and by comparison with each other. A Roe scheme for the four-equation one-pressure two-fluid model has been implemented, and a second-order extension based on wave decomposition and flux-difference splitting was shown to work well and to give improved results compared to the first-order scheme. The convergence properties of the scheme were tested on smooth and discontinuous solutions. A Roe scheme has been proposed for a five-equation two-pressure two-fluid model with pressure relaxation. The use of analogous numerical methods for the five-equation and four-equation models allowed for a direct comparison of a method with and without pressure relaxation. Numerical experiments demonstrated that the two approaches converged to the same results, but that the five-equation pressure-relaxation method was significantly more dissipative, particularly for contact discontinuities. Furthermore, even though the five-equation model with instantaneous pressure relaxation has real eigenvalues, the calculations showed that it produced oscillations for cases where the four-equation model had complex eigenvalues. A Roe scheme has been constructed for the drift-flux model with general closure laws. For the case of the Zuber-Findlay slip law describing bubbly flows, the Roe matrix is completely analytical. Hence the present Roe scheme is more efficient than previous fully numerical Roe schemes for the drift-flux model. An isentropic discrete-equation multiphase model has been presented. The incorporation of different interfacial-pressure models was discussed, and examples were given. With the adequate models for the interfacial pressure and velocity, the agreement was very good between the discrete-equation model and the five-equation Roe scheme. The flux-limiter centred (FLIC) scheme was tested for the four-equation two-fluid model. Only the first-order version (FORCE) of the scheme was found to work well, but it was rather diffusive. The purpose of the multi-stage (MUSTA) method is to come close to the accuracy of upwind schemes while retaining the simplicity of centred schemes. Here it has been applied to the drift-flux model. As the number of stages was increased, the results of the MUSTA scheme approached those of the Roe method. The good results of the MUSTA scheme were dependent on the use of a large-enough local grid. Hence, the main advantage of the MUSTA scheme is its simplicity. A multiphase characteristic-based boundary-condition method has been tested, and it was shown to be workable for transient problems.

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This project is a preliminary study in order to build a small power plant, located beside to Gavleån River. It has been designed with the aim of cooling a district of Gävle city, Sweden. That big project is carried out by the international consulting engineering company SWECO. The mentioned plant contains a thermodynamic cycle that takes water from the river and afterwards, it is returned back warmer. It will attempt to study the temperature raise downstream along the river due to the spill of hot water. In addition, it will try to quantify and weight which may be the importance of the increment of temperature compared to the entire river. This work could be vital for an environmental impact study. The thermo and fluid dynamic problem is going to be solved using typical procedure for numerical simulations. To do this, it will be used Computer Aided Design (CAD) to model Gavleån River path and Computational Fluent Dynamics (CFD) to predict the distribution of temperatures. Finally the results of the simulations will be analyzed and discussed to draw conclusions about the final temperature raise in Gavleån River.

Detta är ett examensarbete som genomförts hos Göteborg Energi AB och syftar till att utreda omkryogen uppgradering av biogas med fördel kan ske genom att producera nödvändig kyla medvärmedriven absorptionskylmaskin. Göteborg Energi är en av tre parter som tillsammans ska bygga enbiogasanläggning i Lidköping som ska vara i drift 2010. Anläggningen ska producera 30 GWhflytande biogas per år. Arbetet utreder om det är fördelaktigt ur ekonomiskt, energimässigt och miljömässigt perspektiv attuppgradera biogas med kryogen teknik med värmeproducerad kyla. En jämförelse görs först medkryogen teknik där kylan är producerad med el och sen med andra uppgraderingstekniker. Som stödhar två olika processimuleringsprogram används, Hysys och DESIGN II. Resultatet visar att energianvändningen ökar då värmedriven kyla används i jämförelse med kylaproducerad med el. 0,47 kW/Nm3 rågas för kryo med absorptionskyla och 0,29 kW/Nm3 rågas medel. Om det finns avsättning för spillvärmen kan energianvändningen i uppgraderingen minska till 0,29kW/Nm3 rågas och 0,15 kW/Nm3 rågas för systemet med värmedriven respektive eldriven kyla. Ijämförelse med andra uppgraderingstekniker ligger 0,47 kW/Nm3 bland de teknikerna med högstenergianvändning medans 0,29 kW/Nm3 placerar sig bland de teknikerna med lägstenergianvändning. Resultat visar att klimatpåverkan från uppgraderingen, som kommer av metanslip och elanvändningen,minskar marginellt om kylan produceras med värme istället för el. Resultatet varierar mycket beroendepå hur koldioxidutsläppen från marginalelen beräknas. I jämförelse med andra uppgraderingsteknikerligger kryo lägre än de flesta andra. Undantaget är COOAB-tekniken som är överlägset bäst tack varalågt metanslip och liten elanvändning. Ekonomisk jämförelse med andra uppgraderingstekniker visar att kostnaden för energianvändningenligger i samma nivå som övriga uppgraderingstekniker i jämförelsen, ca 0,03 kr/kWh uppgraderad gas.Om det finns avsättning för spillvärmen sjunker kostnaden till 0,024 och 0,02 kr/kWh uppgraderad gasför kryoteknik med kyla ifrån värme respektive el. Min slutsats är att utnyttjande av spillvärmen är av stor vikt för att få god ekonomi och lågenergianvändning med kryogen uppgradering. En marginellt förbättrad miljöprestanda kan erhållas omnödvändig kyla produceras med värme istället för el då kryogen uppgradering används. Annars är detalltid mer fördelaktigt att använda el för att producera nödvändig kyla. / This is a master thesis that has been carried out at Göteborg Energi AB. It refers to investigate ifcryogenic upgrading of biogas with advantage can be done by producing necessary cold with a heatdriven absorption cooling machine. Göteborg Energi is one of three actors that together will build abiogas plant in Lidköping that will be up and running in 2010. The plant will produce 30 GWhliquefied biogas annually. This thesis investigastes whether it is advantageous, to upgrade biogas with heat driven cooling, in aperspective of economy, energy use and environment. It compares cryogenic upgrading with coldproduced by electricity, but also by other techniques. Two different process simulation softwares havebeen used as support to this thesis; Hysys and DESIGN II. The result shows that energy usage increases when the necessary cold is produced with heat instead ofelectricity; 0,47 kW/Nm3 rawgas for cryo upgrade with absorptions cooling and 0,29 kW/Nm3 rawgaswith cold produced by electricity. If it’s possible to use the waste heat to warm the digester, the energyconsumption for the upgrading can be reduced to 0,29 kW/Nm3 for the system with heat-driven cold,and 0,15 kW/Nm3 rawgas for cold produced by electricity. In comparison with other techniques forupgrading, 0,47 kW/Nm3 rawgas is a high value while 0,29 kW/Nm3 rawgas is among the lowestvalues for energy use. The impact on the climate emerges from the use of electricity and when methane slips out from theupgrading plant. The result shows that the impact on the climate is slightly decreased for cryogenicupgrading when the cold is produced with a heat driven absorption machine instead of electricity. Theresult varies a lot due to how one calculate the emission of carbon dioxide from the electricity on themargin. In comparison with other upgrading techniques, the climate impact from cryogenic upgradingis less, other than the COOAB-technique that is superior because of its low methane slip and lowdemand of electricity. An economical comparison shows that the cost for energy usage is about the same for cryogenic as forother techniques; approximately 0,03 SEK/kWh upgraded gas. If one can utilize the waste heat, thecost would be decreased to 0,024 and 0,02 SEK/kWh upgraded gas for the system with cryogenicupgrading with cooling from absorption machine respectively cooling produced with electricity. My conclusion is that the utilization of the waste heat is essential if one wishes to get good economyand low energy use for the upgrading of biogas with cryogenic methods. A slightly increasedenvironmental improvement can be received if one change the cold production from electricity to heat,otherwise it is always more advantageous to use electricity for cryogenic methods.

Įmonėje UAB ELGA nuolatos tobulina vidutinės įtampos skirstymo ir valdymo elektros įrenginių konstrukciją, todėl iškyla poreikis atlikti trumpo jungimo srovės bandymus naujai sukomplektuotai įrangai. Magistriniame darbe analizuojama įmonėje surenkamų vidutinės įtampos uždarųjų skirstyklų skirstymo ir valdymo elektros įrenginių USN-10, USN-20, naudojamų 6 ÷ 10, 24 kV įtampos, 50 Hz dažnio elektros energijos paskirstymui, prijungtų linijų apsaugai nuo perkrovimų ir trumpų jungimų atsparumo trumpojo jungimo srovėms tyrimo laboratorija. Narveliuose, ant ištraukiamojo elemento (vežimėlio) instaliuoti įvairių firmų pvz.: „ABB“; „SIEMENS“; „VEI“ ir t.t. vakuuminiai jungtuvai. Darbe pateikiami normatyviniai dokumentai, kuriais remiantis atliekami bandymai, bandymo laboratoriją sudarančių elementų varžų, terminio bei dinaminio atsparumo skaičiavimai, bandymo schemos, bei bandymų sąlygos. / Stock company „ELGA“ is constantly developing an air insulated medium voltage semi-metalclad type switchgear systems construction, so it happens that we need to do short – time and withstand current tests for new complemented equipment. The Master thesis analyses short – time and withstand current tests laboratory for in company prefab medium voltage semi-metalclad type switchgear systems USN-10, USN-20 designed to be used for 6 ÷ 10, 24 kV voltage, and 50Hz frequency power distribution, connected feeder with over current and overload protection. Various companies' circuit breakers for example „ABB“; „SIEMENS“; „VEI“ etc are installed on extractive element (trolley) in cubicle. Normative standards sustaining how the tests should be made, test laboratory formative elements resistant’s, short – time and withstand current calculation, test scheme and test conditions are presented in the Master thesis.

Occupational exposure limits are known to have different distribution values around the world. In recent years occupational exposure limits were reviewed in Lithuania and other Eastern European countries. The changes in occupational exposure limits should influence the hood flow rate. However even today the projectors continue using the same air flow rate equations that were developed years ago. The engineering methods are no longer compatible with sanitary standards. The major dangers resulting from this approach are the occupational exposure limits exceed allowed quotas in workplace or the energy consumption is harmfully inefficient. It is crucial to compare the treatment of occupational exposure limits among various countries and the different existing methods of calculating exhaust air flow rate. Additionally, it is important to consider the factors that may compromise the reliability of this study. Lithuania's occupational exposure limits are in general lower than in other countries. The ratio of occupational exposure limits is about 1:100 in different countries.Exhaust air flow should be inversely proportional to occupational exposure limits. It was found that volumetric exhaust flow rate have a circular dependence on occupational exposure limits by making comparison among different countries. The purpose of this study is to draw attention to the issue of small countries to use the volumetric exhaust air flow rate equations of big countries (USA, Russia, Germany etc.)... [to full text]

Baigiamajame magistro darbe nagrinėjama Lietuvos pastatų energinio naudingumo sertifikavimo metodika pagal STR 2.01.09:2005 „Pastatų energinis naudingumas. Energinio naudingumo sertifikavimas“. Ši metodika lyginama su STR 2.09.04:2002 „Pastato šildymo sistemos galia. Energijos sąnaudos šildymui“ šilumos nuostolių skaičiavimo metodika ir su faktiniu šilumos suvartojimu. Nagrinėjamos suminės energijos sąnaudos ir energinio naudingumo kvalifikacinis rodiklis esant skirtingo aukštingumo pastatams ir jo pokytis diegiant renovacijos priemones. Taip pat atliekama renovacijos priemonių ekonominio efektyvumo analizė. Sudaromas A klasės pastato modelis. Analizuojama energinio naudingumo klasės suteikimo sistema ir pateikiamos rekomendacijos energinio naudingumo sertifikavimui Lietuvoje. / In the master thesis the methodology of building energy performance by The national building regulation STR 2.01.09:2005 „Building Energy performance. Certificate of energy performance” is analysed . The methodology is compared with heat gains calculation methodology in regulation STR 2.09.04:2002 „Capacity of building heating system. Energy input for heating“ and actual heat consumption. The total energy consumption and the energy performance qualifying index is analyzed in the buildings of different height and the difference of index after renovation. The economical efficiency analysis of recommended renovation is analysed. The model of energy performance class is analised and the recomendations for energy performance certification in Lithuania are presented.

Magistro baigiamajame darbe nagrinėjami vėdinimo įrenginiai su integruotais šilumos siurbliais. Darbe atliekama tokios rūšies įrenginių literatūros apžvalga. Apžvelgiami šilumos siurblio komponentai, darantys didžiausią įtaką jo darbui. Darbo metu atlikti įrenginių projektavimo ir konstravimo darbai. Pateikiamos projektavimo rekomendacijos. Lyginami skirtingi kompresorių galios moduliacijos principai. Nagrinėjami įrenginių darbo režimai, kylančios problemos eksploatacijos metu, ieškomi problemų sprendimų būdai. Pateikiamos kintamo sukimosi greičio kompresorių galių moduliacijos ribos. Atliekamos energinė ir ekserginė analizės pagal eksperimentinio bandymo duomenis. Nustatomi realūs termodinaminio efektyvumo ir naudingumo koeficientai. Jautrumo analizės metu atliekami elektrinio šildytuvo efektyvumo ir naudingumo skaičiavimai. Pateikiami rezultatai, išvados ir rekomendacijos tokios rūšies įrenginių tobulinimui ir tolimesniam vystymui. Darbo apimtis – 94 psl. teksto be priedų, 66 iliustr., 7 lent., 43 bibliografiniai šaltiniai. / Master's thesis examines air handling units with integrated air source heat pumps. Literature review about this type of units was carried out. An overview of mostly important heat pump‘s components are given. Thesis was an opportunity to design, construct and analyze these units. Different heat pump‘s operation modes examined and main issues turned out. Based on experimental data variable speed compressor's capacity modulation results defined. Moist air thermodynamic calculations have been made and air handling unit with integrated air source heat pump experimental energy and exergy efficiency was defined. Sensitivity evaluation changing heat pump with electric heater carried out. The main recommendation provided for units designing and further development. Thesis consist of 94 p. text without appendixes, 66 pictures, 7 tables, 43 bibliographical entries.

Ce travail de thèse avait pour but de sélectionner et de mettre en forme des matériaux pour la récupération thermomagnétique de la chaleur fatale de basse énergie (T ≤ 232 °C). L’effet thermomagnétique s’explique par la variation de l’aimantation d’un matériau en fonction du champ magnétique appliqué et aussi de sa température. Cet effet permet, au travers de matériaux spécifiques, de convertir l’énergie thermique en énergie magnétique. Ce travail retient quatre types de composés intermétalliques avec des températures de Curie dans la gamme 50-150 °C. Les composés dérivés du ternaire LaFe13-χSiχ et trois séries de composés pseudobinaires Y2Fe17-xCoχ, Fe5-xMnχSn3 et Fe5-xMnχSi3. Les résultats de la littérature montrent que, pour le type LaFe13-χSiχ, la substitution du fer par le cobalt et l’hydruration du composé permettent d’élever la TC jusqu’à la gamme ciblée. Trois nuances ont été commandées au près d’Erasteel, et mises en forme par coulage en bande après mélange avec un polymère. Les autres composés ont été synthétisés au laboratoire. Les propriétés magnétiques et thermomagnétiques des composés ayant une TC dans la gamme ciblée ont été mesurées. Trois nuances de la série Y2Fe17-xCoχ ont été synthétisées en grande quantité et mises en forme par frittage naturel et par SPS. En parallèle des travaux sur les matériaux, un démonstrateur reposant sur le principe de la roue de Curie a été fabriqué. Des simulations thermiques et magnétiques complètent ce travail. Cette dernière partie montre l’importance de la thermique dans les systèmes de récupération thermomagnétique de la chaleur / This PhD work aimed to select and shape suitable materials for thermomagnetic recovery of low energy fatal heat (T ≤ 232 °C). Thermomagnetic effect is explained as a consequence of the magnetic field and temperature dependence of the magnetization. This effect enables specific materials to convert heat into magnetic energy. This work laid emphasis on four types of intermetallic compounds with TC in 50-150 °C range. Derivatives compounds of LaFe13-χSiχ ternary alloy and three pseudo-binaries series Y2Fe17-xCoχ, Fe5-xMnχSn3 and Fe5-xMnχSi3. Publications show that, for LaFe13-χSiχ type, substitution of iron by cobalt and hydruration make the TC rise to the targeted range of temperature. Three nuances have been ordered to Erasteel and shaped by tape casting. All of the other compounds have been synthesized by ourself.Magnetic and thermomagnetic properties of compounds matching the targeted temperature range were measured. We synthesised large quantity of three nuances of Y2Fe17-xCoχ and they were sintered by thermal treatment following cold compression forming or SPS direct method. A thermomagnetic heat recovery demonstrator, relying on the Curie wheel principle, was made in the laboratory. We carried out thermal and magnetic simulations of the thermomagnetic heat recovery system. We enlightened the paramount importance of thermal engineering for the design of thermomagnetic heat recovery systems

<p>  </p> <p>In gas turbines, the hot gas exiting the combustor can be as high as 2000 ^oC, and some of this hot gas enter into the space between the stator and rotor disks (wheelspace). Since the hot gas entering with its high temperatures could damage the disks, hot-gas ingestion must be minimized. This is done by using rim seals and by introducing a flow of cooler air from the compressor (sealing flow) into the wheelspace. </p> <p>Ingress and egress into rim seals are driven by the stator vanes, the rotor and its rotation, and the rotor blades. This study focuses on the first-stage turbine, where ingress could cause the most damage and has two parts. The first part focuses on understanding ingress and egress driven by the rotor and its rotation, known as rotationally-induced ingress, by studying ingress about an axial seal in a stator-rotor configuration without vanes and without blades. The second part focuses on understanding ingress and egress driven by stator vanes, known as externally-induced ingress, by studying a stator-rotor configuration with vanes but no blades, where the ratio of the external Reynolds number to the rotational Reynolds number is 0.538. For both parts, solutions were generated by wall-resolved large-eddy simulation (LES) based on the WALE subgrid model and by Reynolds-averaged Navier-Stokes (RANS) based on the SST model. For both stator-rotor configurations, the grid-independent solutions obtained were compared with available experimental data.   </p> <p>Results obtained for the configuration without vanes and blades show Kelvin-Helmholtz instability (KHI) to form even without swirl from the hot-gas flow and to create a wavy shear layer on the rotor. Also, Vortex shedding (VS) occurs on the backward-facing side of the seal and impinges on the rotor side of the seal. The KHI and VS produce alternating regions of high and low pressures about the rotor-side of the axial seal, which cause ingress to start on the rotor side of the seal. Results obtained for the configuration with vanes but no blades show both LES and RANS to correctly predict the coefficient of pressure, C_p, upstream of the axial seal. However, only LES was able to correctly predict the sealing effectiveness. This shows C_p by itself maybe is inadequate in quantifying externally-induced ingress. One reason why RANS was unable to predict sealing effectiveness is significantly under predicting the pressure drop on the rotor surface, which affected the pressure variation along the hot-gas path and hence the pressure difference across the axial seal, which ultimately drives ingress. </p>