Comparison of Compound Lean Nozzles and Controlled Flow Nozzles at Off-Design

Turbokoneet ja etenkin höyryturbiinit ovat usein suunniteltu ja optimoitu toimimaan tietyssä toimintapisteessä jossa häviöt on minimoitu ja hyötysuhde maksimoitu. Joissakin tapauksissa on kuitenkin tarpeellista käyttää turbiinia toimintapisteen ulkopuolella. Tällöin turbiinin läpi virtaava massavirta muuttuu ja yleensä heikentää hyötysuhdetta. Turbokoneiden suorituskykyä voidaan parantaa käyttämällä kolmidimensionaalisesti muotoiltuja siipiä. Työssä on vertailtu laskennallisesti kahta kohtuullisesti muotoiltua suutinta (Compound lean ja Controlled flow) niiden suunnitellun toimintapisteen ulkopuolella. Kolmas suutin, ilman kolmidimensionaalista muotoilua on mukana vertailukohteena. Suutinten suorituskykyä tutkitaan laskennallisen virtausmekaniikan avulla olosuhteissa, jotka ovat toimintapisteen ulkopuolella. Virtauksen muutoksia tutkitaan kokonaispainehäviön, isentrooppisen hyötysuhteen ja virtauspinnan yhdenmukaisuuden avulla. Virtauspintoja verrataan ulosvirtauskulman, massavirran ja toisiovirtausvektoreiden jakauman avulla. Erot suutinten suorituskykyvyssä korostavat ylikuormalla. Kun massavirran arvoa on kohotettu eniten, Compound lean suuttimilla hyötysuhde laskee Controlled flow suuttimeen verrattuna vähemmän. Alikuormalla, kun massavirran arvoa lasketaan, erot suuttimien suorituskyvyssä pienenevät ja tutkittujen suuttimien ulosvirtaus on samankaltainen.

Numerical modelling of small supersonic axial flow turbines

Supersonic axial turbine stages typically exhibit lower efficiencies than subsonic axial turbine stages. One reason for the lower efficiency is the occurrence of shock waves. With higher pressure ratios the flow inside the turbine becomes relatively easily supersonic if there is only one turbine stage. Supersonic axial turbines can be designed in smaller physical size compared to subsonic axial turbines of same power. This makes them good candidates for turbochargers in large diesel engines, where space can be a limiting factor. Also the production costs are lower for a supersonic axial turbine stage than for two subsonic stages. Since supersonic axial turbines are typically low reaction turbines, they also create lower axial forces to be compensated with bearings compared to high reaction turbines. The effect of changing the stator-rotor axial gap in a small high (rotational) speed supersonic axial flow turbine is studied in design and off-design conditions. Also the effect of using pulsatile mass flow at the supersonic stator inlet is studied. Five axial gaps (axial space between stator and rotor) are modeled using threedimensional computational fluid dynamics at the design and three axial gaps at the off-design conditions. Numerical reliability is studied in three independent studies. An additional measurement is made with the design turbine geometry at intermediate off-design conditions and is used to increase the reliability of the modelling. All numerical modelling is made with the Navier-Stokes solver Finflo employing Chien’s k ¡ ² turbulence model. The modelling of the turbine at the design and off-design conditions shows that the total-to-static efficiency of the turbine decreases when the axial gap is increased in both design and off-design conditions. The efficiency drops almost linearily at the off-design conditions, whereas the efficiency drop accelerates with increasing axial gap at the design conditions. The modelling of the turbine stator with pulsatile inlet flow reveals that the mass flow pulsation amplitude is decreased at the stator throat. The stator efficiency and pressure ratio have sinusoidal shapes as a function of time. A hysteresis-like behaviour is detected for stator efficiency and pressure ratio as a function of inlet mass flow, over one pulse period. This behaviour arises from the pulsatile inlet flow. It is important to have the smallest possible axial gap in the studied turbine type in order to maximize the efficiency. The results for the whole turbine can also be applied to some extent in similar turbines operating for example in space rocket engines. The use of a supersonic stator in a pulsatile inlet flow is shown to be possible.

Ylisoonisen yksivaiheisen aksiaaliturbiinin suunnittelu

Tässä diplomityössä suunnitellaan yksivaiheisen turbiinin ylisooninen staattori ja alisooninen roottori, tulo-osa ja diffuusori. Työn alussa tarkastellaan aksiaaliturbiinin käyttökohteita ja teoriaa, jonka jälkeen esitetään suunnittelun perustana olevat menetelmät ja periaatteet. Perussuunnittelu tehdään Traupelinmenetelmällä WinAxtu 1.1 suunnitteluohjelmalla ja hyötysuhde arvioidaan lisäksiExcel-pohjaisella laskennalla. Ylisooninen staattori suunnitellaan perussuunnittelun tuloksiin perustuen, soveltamalla karakteristikoiden menetelmää suuttimen laajenevaan osaan ja pinta-alasuhteita suppenevaan osaan. Roottorin keskiviiva piirretään Sahlbergin menetelmällä ja siiven muoto määritetään A3K7 paksuusjakauman sekä tiheän siipihilan muotoilun periaatteita yhdistämällä. Tulo-osa suunnitellaan mahdollisimman jouhevaksi geometriatietojen ja kirjallisuuden esimerkkien mukaisesti. Lopuksi tulo-osaa mallinnetaan CFD-laskennalla. Diffuusori suunnitellaan käyttämällä soveltuvin osin kirjallisuudessa esitettyjätietoja, tulo-osan geometriaa ja CFD-laskentaa. Suunnittelutuloksia verrataan lopuksi kirjallisuudessa esitettyihin tuloksiin ja arvioidaan suunnittelun onnistumista sekä mahdollisia ongelmakohtia.

Selluradan leijutus ja hallinta ilmakuivaimessa

Diplomityön tavoitteena oli tutkia selluradan leijutusta sekä hallintaa kapealla ja täysleveällä selluradalla ilmakuivaimessa. Työn sisältö on jaettu neljään osaan teoriaan, numeeriseen virtauslaskentaan, kokeelliseen osuuteen ja johtopäätöksiin. Työn alussa kiinnitettiin huomiota ilmakuivaimen ja selluradan rakenteeseen, selluradan lujuusominaisuuksiin ja niiden testaamiseen laboratorio-oloissa. Teoria osuudessa tarkasteltiin selluradan leijutusteoriaa ja siihen liittyvää virtaustekniikkaa. Leijutusta kuvattiin mekaniikasta tutun vapaakappalekuvan muodossa. Vapaakappalekuva auttaa ymmärtämään sellurataan vaikuttavia voimia ja niiden aiheuttajia. Numeerisessa virtauslaskennassa rakennettiin Fluent -virtauslaskentamalli. Malli kuvaa leijutussuuttimen alusta 0,2 metrin pituista pätkää. Laskennassa simuloitiin selluradan lei-jutusta 2, 5 ja 7 mm etäisyyksillä. Tuloksia tarkasteltiin paine- ja nopeusjakaumien muodossa. Kokeellisessa osuudessa tehtiin mittauksia yksittäisellä ylä- ja alasuuttimella sekä suutinpaketilla. Yksittäisistä suuttimista mitattiin ilmasuihkujen ulostulokulmaa, suuttimensisäistä painejakaumaa ja selluradan pintaan vaikuttavaa staattista painetta suuttimen pituuden funktiona. Suutinpaketilla tutkittiin ilmasuihkujen ja tasomaisen levyn välistä vuorovaikutusta. Ylä- ja alasuuttimen välissä leijutettiin levyä, josta mitattiin ilmasuihkujen aiheuttama z-suuntainen voima ja leijutuskorkeus. Työn lopussa arvioitiin teorian, numeerisen virtauslaskennan ja kokeellisen osuuden tuloksia. Näiden pohjalta tehtiin teknisiä parannusehdotuksia ilmakuivaimen toiminnan tehostamiseksi ja selluradan hallinnan parantamiseksi kapealla ja täysleveällä selluradalla.

Kerrosleijukattilan sekundääri-ilmansyöttöjärjestelmän kehittäminen

Työn tarkoituksena oli kehittää kerrosleijukattilan sekundääri-ilmansyöttöä. Työssä tutkittiin tulipesässä ilmasuihkujen käyttäytymiseen vaikuttavia tekijöitä sekä eri ilmansyöttömallien vaikutuksia tulipesäolosuhteisiin. Sekundääri- ja tertiääri-ilmasuihkujen tehtävänä on sekoittaa tulipesän kaasuja sekä tuoda happi leijupetin yläpuolelle haihtuneiden aineiden palamisen loppuun saattamiseksi. Kaasujen sekoittumiseen vaikuttavat ilmasuihkun ja ristivirtauksen liikemäärien suhde, suutinten koko ja sijoittelu toisiinsa nähden. Ilmasuihku saavuttaa paremman tunkeutuvuuden ja siten tehokkaamman sekoittumisen suuttimen koon kasvaessa. Lisäksi tunkeutuvuus paranee suutinten välisen etäisyyden sekä ilmasuihkun ja ristivirtauksen liikemäärien suhteen kasvaessa. Optimaalisen suutinten välisen etäisyyden osoitettiin riippuvan suuttimen ja tulipesän koosta sekä ilmasuihkun ja ristivirtauksen liikemäärien suhteesta. Saatujen tulosten mukaan sekundääri- ja tertiääri-ilmatasoilla tulee suosia suuria harvaan ja lomittain sijoitettuja suuttimia. Ilmansyöttömalleja tutkittiin numeerisesti mallintamalla, ja saatujen tulosten perusteella tehokkain sekoittuminen saavutettiin sijoittamalla sekundääri-ilmasuuttimet tulipesän kahdelle vastakkaiselle seinälle.

Kaasuturbiinin polttoainesuuttimien virtausmittaus

Tässä diplomityössä suunniteltiin ja rakennettiin kaasuturbiinin kaasusuuttimien virtausmittauslaitteisto. Suuttimien epätasainen toiminta kasvattaa kaasuturbiinin poistolämpötilahajontaa. Virtausmittauksien perusteella voidaan määrittää suuttimien efektiivinen virtauspoikkipinta-ala. Suuttimien asennusjärjestys opti-moidaan suuttimien välisten pinta-alaerojen mukaisesti, jolloin polttoainevirtaus polttokammioihin on mahdollisimman tasainen ja poistolämpötilahajonta pienenee. Kaasuturbiinin MS6001 esittelyssä keskityttiin tärkeimpiin komponentteihin sekä polttoainesuuttimien testauksen kannalta oleellisiin osiin ja niiden toimintaan. Teoriaosuudessa tarkasteltiin tilavuusvirran sekä suutinvirtauksen laskennassa käytettäviä yhtälöitä. Mittalaitteiston suunnittelu ja toteutus olivat tämän työn laajin osa-alue. Laitteiston keskeiset osat ovat kuristuselin ja suutintestausosa. Kuristuselintyypiksi valittiin rengaskammiollinen kuristuslaippa, joka suun-niteltiin standardin SFS-EN ISO 5167:2003 mukaisesti. Standardissa annettujen yhtälöiden antamia tuloksia verrattiin numeerisella virtauslaskentamallilla lasket-tuihin tuloksiin. Suutinrunkojen ja -kärkien mittauksien suunnittelussa sovellettiin samaa standardia sekä numeerista virtauslaskentaa optimaalisen sijainnin löytämiseksi paineyhteelle. Mittauksissa syntyvien epävarmuuksien arviointiin kiinnitettiin erityistä huomiota. Kokeellisessa osuudessa mitattiin yhden kunnostetun suuttimen, käytetyn suut-timen ja suutinrungon virtausta. Tuloksien perusteella laskettiin efektiiviset pinta-alat, joita verrattiin turbiinivalmistajan ilmoittamiin pinta-aloihin. Lopuksi arvioitiin mittaustulosten perusteella laitteiston toimivuutta. Virhe-arvioinnin ja mittaustulosten perusteella laadittiin teknisiä parannusehdotuksia suutintestauslaitteiston luotettavan toiminnan varmistamiseksi.

Optimizing nozzle flow in laser cutting

The purpose of this study was to investigate different laser cutting nozzles, nozzle flows and possibilities to improve nozzle flow. Another goal was to design new nozzle configuration in which laser cutting would succeed with better cutting speed and smaller gas consumption. Nozzles and nozzle flows were studied with various methods. Computational fluid dynamics was used to calculate old, convergent nozzles and new convergent-divergent nozzles. Measurement apparatus was used to measure both nozzle types. In cutting tests different materials were cut with new nozzles. With the use of design convergent-divergent nozzles 25 % better cutting speed and 33 % smaller gas consumption were achieved when cutting quality was good. Computational fluid dynamics was also discovered to be useful aid in nozzle design.

Optimization of a heatset dryer

The objective of the thesis was to examine the possibilities in designing better performing nozzles for the heatset drying oven in Forest Pilot Center. To achieve the objective, two predesigned nozzle types along with the replicas of the current nozzles in the heatset drying oven were tested on a pilot-scale dryer. During the runnability trials, the pilot dryer was installed between the last printing unit and the drying oven. The two sets of predesigned nozzles were consecutively installed in the dryer. Four web tension values and four different impingement air velocities were used and the web behavior during the trial points was evaluated and recorded. The runnability in all trial conditions was adequate or even good. During the heat transfer trials, each nozzle type was tested on at least two different nozzle-to-surface distances and four different impingement air velocities. In a test situation, an aluminum plate fitted with thermocouples was set below a nozzle and the temperature measurement of each block was logged. From the measurements, a heat transfer coefficient profile for the nozzle was calculated. The performance of each nozzle type in tested conditions could now be rated and compared. The results verified that the predesigned simpler nozzles were better than the replicas. For runnability reasons, there were rows of inclined orifices on the leading and trailing edges of the current nozzles. They were believed to deteriorate the overall performance of the nozzle, and trials were conducted to test this hypothesis. The perpendicular orifices and inclined orifices of a replica nozzle were consecutively taped shut and the performance of the modified nozzles was measured as before, and then compared to the performance of the whole nozzle. It was found out, that after a certain nozzle-to-surface distance the jets from the two nozzles would collide, which deteriorates the heat transfer.

Algorithmic Solutions for Combinatorial Problems in Resource Management of Manufacturing Environments

This thesis studies the use of heuristic algorithms in a number of combinatorial problems that occur in various resource constrained environments. Such problems occur, for example, in manufacturing, where a restricted number of resources (tools, machines, feeder slots) are needed to perform some operations. Many of these problems turn out to be computationally intractable, and heuristic algorithms are used to provide efficient, yet sub-optimal solutions. The main goal of the present study is to build upon existing methods to create new heuristics that provide improved solutions for some of these problems. All of these problems occur in practice, and one of the motivations of our study was the request for improvements from industrial sources. We approach three different resource constrained problems. The first is the tool switching and loading problem, and occurs especially in the assembly of printed circuit boards. This problem has to be solved when an efficient, yet small primary storage is used to access resources (tools) from a less efficient (but unlimited) secondary storage area. We study various forms of the problem and provide improved heuristics for its solution. Second, the nozzle assignment problem is concerned with selecting a suitable set of vacuum nozzles for the arms of a robotic assembly machine. It turns out that this is a specialized formulation of the MINMAX resource allocation formulation of the apportionment problem and it can be solved efficiently and optimally. We construct an exact algorithm specialized for the nozzle selection and provide a proof of its optimality. Third, the problem of feeder assignment and component tape construction occurs when electronic components are inserted and certain component types cause tape movement delays that can significantly impact the efficiency of printed circuit board assembly. Here, careful selection of component slots in the feeder improves the tape movement speed. We provide a formal proof that this problem is of the same complexity as the turnpike problem (a well studied geometric optimization problem), and provide a heuristic algorithm for this problem.

The effect of shielding gas feeding method in laser welding of steel

Gas shielding plays an important role in laser welding phenomena. This is because it does not only provide shielding against oxidization but it has an effect in beam absorption and thus welds penetration. The goal of this thesis is to study and compare the effects of different shielding gas feeding methods in laser welding of steel. Research method is a literature survey. It is found that the inclination angle and the arrangement of the gas feeding nozzles affect the phenomena significantly. It is suggested that by designing shielding gas feeding case specifically better welding results can be obtained.

Working fluid selection and design of small-scale waste heat recovery systems based on organic Rankine cycles

Demand for the use of energy systems, entailing high efficiency as well as availability to harness renewable energy sources, is a key issue in order to tackling the threat of global warming and saving natural resources. Organic Rankine cycle (ORC) technology has been identified as one of the most promising technologies in recovering low-grade heat sources and in harnessing renewable energy sources that cannot be efficiently utilized by means of more conventional power systems. The ORC is based on the working principle of Rankine process, but an organic working fluid is adopted in the cycle instead of steam. This thesis presents numerical and experimental results of the study on the design of small-scale ORCs. Two main applications were selected for the thesis: waste heat re- covery from small-scale diesel engines concentrating on the utilization of the exhaust gas heat and waste heat recovery in large industrial-scale engine power plants considering the utilization of both the high and low temperature heat sources. The main objective of this work was to identify suitable working fluid candidates and to study the process and turbine design methods that can be applied when power plants based on the use of non-conventional working fluids are considered. The computational work included the use of thermodynamic analysis methods and turbine design methods that were based on the use of highly accurate fluid properties. In addition, the design and loss mechanisms in supersonic ORC turbines were studied by means of computational fluid dynamics. The results indicated that the design of ORC is highly influenced by the selection of the working fluid and cycle operational conditions. The results for the turbine designs in- dicated that the working fluid selection should not be based only on the thermodynamic analysis, but requires also considerations on the turbine design. The turbines tend to be fast rotating, entailing small blade heights at the turbine rotor inlet and highly supersonic flow in the turbine flow passages, especially when power systems with low power outputs are designed. The results indicated that the ORC is a potential solution in utilizing waste heat streams both at high and low temperatures and both in micro and larger scale appli- cations.

Computational modelling of non-equilibrium condensing steam flows in low-pressure steam turbines

The steam turbines play a significant role in global power generation. Especially, research on low pressure (LP) steam turbine stages is of special importance for steam turbine man- ufactures, vendors, power plant owners and the scientific community due to their lower efficiency than the high pressure steam turbine stages. Because of condensation, the last stages of LP turbine experience irreversible thermodynamic losses, aerodynamic losses and erosion in turbine blades. Additionally, an LP steam turbine requires maintenance due to moisture generation, and therefore, it is also affecting on the turbine reliability. Therefore, the design of energy efficient LP steam turbines requires a comprehensive analysis of condensation phenomena and corresponding losses occurring in the steam tur- bine either by experiments or with numerical simulations. The aim of the present work is to apply computational fluid dynamics (CFD) to enhance the existing knowledge and understanding of condensing steam flows and loss mechanisms that occur due to the irre- versible heat and mass transfer during the condensation process in an LP steam turbine. Throughout this work, two commercial CFD codes were used to model non-equilibrium condensing steam flows. The Eulerian-Eulerian approach was utilised in which the mix- ture of vapour and liquid phases was solved by Reynolds-averaged Navier-Stokes equa- tions. The nucleation process was modelled with the classical nucleation theory, and two different droplet growth models were used to predict the droplet growth rate. The flow turbulence was solved by employing the standard k-ε and the shear stress transport k-ω turbulence models. Further, both models were modified and implemented in the CFD codes. The thermodynamic properties of vapour and liquid phases were evaluated with real gas models. In this thesis, various topics, namely the influence of real gas properties, turbulence mod- elling, unsteadiness and the blade trailing edge shape on wet-steam flows, are studied with different convergent-divergent nozzles, turbine stator cascade and 3D turbine stator-rotor stage. The simulated results of this study were evaluated and discussed together with the available experimental data in the literature. The grid independence study revealed that an adequate grid size is required to capture correct trends of condensation phenomena in LP turbine flows. The study shows that accurate real gas properties are important for the precise modelling of non-equilibrium condensing steam flows. The turbulence modelling revealed that the flow expansion and subsequently the rate of formation of liquid droplet nuclei and its growth process were affected by the turbulence modelling. The losses were rather sensitive to turbulence modelling as well. Based on the presented results, it could be observed that the correct computational prediction of wet-steam flows in the LP turbine requires the turbulence to be modelled accurately. The trailing edge shape of the LP turbine blades influenced the liquid droplet formulation, distribution and sizes, and loss generation. The study shows that the semicircular trailing edge shape predicted the smallest droplet sizes. The square trailing edge shape estimated greater losses. The analysis of steady and unsteady calculations of wet-steam flow exhibited that in unsteady simulations, the interaction of wakes in the rotor blade row affected the flow field. The flow unsteadiness influenced the nucleation and droplet growth processes due to the fluctuation in the Wilson point.