707 resultados para Hydraulics transients
Resumo:
Frequency converters are widely used in the industry to enable better controllability and efficiency of variable speed AC motor drives. Despite these advantages, certain challenges concerning the inverter and motor interfacing have been present for decades. As insulated gate bipolar transistors entered the market, the inverter output voltage transition rate significantly increased compared with their predecessors. Inverters operate based on pulse width modulation of the output voltage, and the steep voltage edge fed by the inverter produces a motor terminal overvoltage. The overvoltage causes extra stress to the motor insulation, which may lead to a prematuremotor failure. The overvoltage is not generated by the inverter alone, but also by the sum effect of the motor cable length and the impedance mismatch between the cable and the motor. Many solutions have been shown to limit the overvoltage, and the mainstream products focus on passive filters. This doctoral thesis studies an alternative methodology for motor overvoltage reduction. The focus is on minimization of the passive filter dimensions, physical and electrical, or better yet, on operation without any filter. This is achieved by additional inverter control and modulation. The studied methods are implemented on different inverter topologies, varying in nominal voltage and current.For two-level inverters, the studied method is termed active du/dt. It consists of a small output LC filter, which is controlled by an independent modulator. The overvoltage is limited by a reduced voltage transition rate. For multilevel inverters, an overvoltage mitigation method operating without a passive filter, called edge modulation, is implemented. The method uses the capability of the inverter to produce two switching operations in the same direction to cancel the oscillating voltages of opposite phases. For parallel inverters, two methods are studied. They are both intended for two-level inverters, but the first uses individual motor cables from each inverter while the other topology applies output inductors. The overvoltage is reduced by interleaving the switching operations to produce a similar oscillation accumulation as with the edge modulation. The implementation of these methods is discussed in detail, and the necessary modifications to the control system of the inverter are presented. Each method is experimentally verified by operating industrial frequency converters with the modified control. All the methods are found feasible, and they provide sufficient overvoltage protection. The limitations and challenges brought about by the methods are discussed.
Resumo:
Particle Image Velocimetry, PIV, is an optical measuring technique to obtain velocity information of a flow in interest. With PIV it is possible to achieve two or three dimensional velocity vector fields from a measurement area instead of a single point in a flow. Measured flow can be either in liquid or in gas form. PIV is nowadays widely applied to flow field studies. The need for PIV is to obtain validation data for Computational Fluid Dynamics calculation programs that has been used to model blow down experiments in PPOOLEX test facility in the Lappeenranta University of Technology. In this thesis PIV and its theoretical background are presented. All the subsystems that can be considered to be part of a PIV system are presented as well with detail. Emphasis is also put to the mathematics behind the image evaluation. The work also included selection and successful testing of a PIV system, as well as the planning of the installation to the PPOOLEX facility. Already in the preliminary testing PIV was found to be good addition to the measuring equipment for Nuclear Safety Research Unit of LUT. The installation to PPOOLEX facility was successful even though there were many restrictions considering it. All parts of the PIV system worked and they were found out to be appropriate for the planned use. Results and observations presented in this thesis are a good background to further PIV use.
Resumo:
TVO suunnittelee reaktoritehon 10 %:n korotusta Olkiluoto 1 ja 2 -voimalaitoksille. Reaktoriteho nostetaan 2500 MW:sta 2750 MW:iin polttoaineen rikastusastetta nostamalla ja pääkiertovirtausta kasvattamalla. Samalla syöttövesivirtaus reaktoriin ja tuorehöyryvirtaus turpiineille kasvaa. Lauhteenpuhdistusjärjestelmän kapasiteettia ei voida kuitenkaan kasvattaa, joten massavirran lisäys toteutetaan ottamalla käyttöön korkeapainesivulauhteen eteenpäinpumppaus. Lauhteen esilämmityslinjojen, lauhteenpuhdistuksen ja syöttövesipumppujen massavirta säilyy siten nykyisellään. Muita merkittäviä tehonkorotukseen liittyviä laitosmuutoksia ovat pääkiertopumppujen uusinta ja korkeapaineturpiinin muutokset. Tehonkorotetun prosessin käytettävyyden varmistamiseksi tehdään häiriöanalyysejä Apros-prosessisimulointiohjelmistoa käyttäen. OL1 ja OL2 -laitoksista on olemassa validoitu 2500 MW:n laitosmalli, josta muokatulla 2750 MW:n laitosmallilla simuloinnit tehdään. Häiriöanalyysien avulla selvitetään säätöjärjestelmien kyky pitää prosessin tila hallinnassa ilman suojausautomaation laukeamista. Simuloituihin tapauksiin kuuluu pumppujen ja venttiilien vikaantumistapauksia sekä turpiini- ja reaktoripuolen pikasulku- ja osittaispikasulkutapauksia. Myös meriveden lämpötilan vaikutusta häiriötilanteisiin tarkastellaan. Analyysien perusteella voimalaitosten ohjaus- ja suojausautomaatio toimivat hyvin myös korotetulla teholla. Tehonkorotuksen jälkeiset suuremmat massavirrat aiheuttavat kuitenkin voimakkaampia reaktoripaineen ja -tehon vaihteluita varsinkin venttiilien sulkeutumistapauksissa. Simuloinnit osoittivat, että tehonkorotus 2500 MW:sta 2750 MW:iin on mahdollinen, mutta aiheuttaa pieniä muutoksia laitoksen suojausjärjestelmien laukaisurajoihin.
Resumo:
Diplomityö käsittelee kallioporalaitteen eliniän kuormitusten arviointiin tarkoitetun simulointimallin rakentamista. Työssä luotiin modulaarinen malli, jolla voidaan simuloida dynaamisesti esteen yliajo. Esteen yliajo on perinteinen tehdastesti uusien laitteiden prototyypeille. Sillä pyritään saamaan selville laitteen maksimikuormitustapaukset. Pintaporalaitteen simulointimalli tehtiin ADAMS-ohjelmistolla laitteen suunnittelussa tehtyjä CAD-malleja hyödyntäen. ADAMS-ohjelmistolla mallinnettiin laitteen yksinkertaistettu mekaniikka siten, että laite oli jaettu viiteen eri moduuliin. Runko ja telasto olivat omana osionaan. Puomi ja syöttölaite oli oma kokoonpanonsa ja ohjaamo sekä katteet olivat kaksi erillistä modulia. Viides moduuli oli hydrauliikka, joka simuloitiin rinnakkaissimulointina EASY5-ohjelmistolla. Simuloituja esteen yliajon tuloksia verrattiin prototyyppilaitteen tehdastestien mitattuihin kuormituksiin. Vertailu tehtiin mallinnettujen neljän sylinterin paineita tarkastelemalla. Tuloksia tarkastellessa havaittiin, että simulaatiomalli antaa varsinkin staattisissa tarkasteluissa oikean suuntaisia tuloksia. Dynaamisissa tilanteissa koneen maksimikuormituksilla mallinnustarkkuus ei tämän työn laajuudessa ole riittävä varsinaiseen eliniän analysointiin. Sen sijaan mallinnustekniikka todettiin periaatteessa toimivaksi ja jatkokehityskelpoiseksi.
Resumo:
In the doctoral dissertation, low-voltage direct current (LVDC) distribution system stability, supply security and power quality are evaluated by computational modelling and measurements on an LVDC research platform. Computational models for the LVDC network analysis are developed. Time-domain simulation models are implemented in the time-domain simulation environment PSCAD/EMTDC. The PSCAD/EMTDC models of the LVDC network are applied to the transient behaviour and power quality studies. The LVDC network power loss model is developed in a MATLAB environment and is capable of fast estimation of the network and component power losses. The model integrates analytical equations that describe the power loss mechanism of the network components with power flow calculations. For an LVDC network research platform, a monitoring and control software solution is developed. The solution is used to deliver measurement data for verification of the developed models and analysis of the modelling results. In the work, the power loss mechanism of the LVDC network components and its main dependencies are described. Energy loss distribution of the LVDC network components is presented. Power quality measurements and current spectra are provided and harmonic pollution on the DC network is analysed. The transient behaviour of the network is verified through time-domain simulations. DC capacitor guidelines for an LVDC power distribution network are introduced. The power loss analysis results show that one of the main optimisation targets for an LVDC power distribution network should be reduction of the no-load losses and efficiency improvement of converters at partial loads. Low-frequency spectra of the network voltages and currents are shown, and harmonic propagation is analysed. Power quality in the LVDC network point of common coupling (PCC) is discussed. Power quality standard requirements are shown to be met by the LVDC network. The network behaviour during transients is analysed by time-domain simulations. The network is shown to be transient stable during large-scale disturbances. Measurement results on the LVDC research platform proving this are presented in the work.
Resumo:
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.
Resumo:
A system is said to be "instantaneous" when for a given constant input an equilibrium output is obtained after a while. In the meantime, the output is changing from its initial value towards the equilibrium one. This is the transient period of the system and transients are important features of open-respirometry systems. During transients, one cannot compute the input amplitude directly from the output. The existing models (e.g., first or second order dynamics) cannot account for many of the features observed in real open-respirometry systems, such as time lag. Also, these models do not explain what should be expected when a system is speeded up or slowed down. The purpose of the present study was to develop a mechanistic approach to the dynamics of open-respirometry systems, employing basic thermodynamic concepts. It is demonstrated that all the main relevant features of the output dynamics are due to and can be adequately explained by a distribution of apparent velocities within the set of molecules travelling along the system. The importance of the rate at which the molecules leave the sensor is explored for the first time. The study approaches the difference in calibrating a system with a continuous input and with a "unit impulse": the former truly reveals the dynamics of the system while the latter represents the first derivative (in time) of the former and, thus, cannot adequately be employed in the apparent time-constant determination. Also, we demonstrate why the apparent order of the output changes with volume or flow.
Resumo:
The most common reason for a low-voltage induction motor breakdown is a bearing failure. Along with the increasing popularity of modern frequency converters, bearing failures have become the most important motor fault type. Conditions in which bearing currents are likely to occur are generated as a side effect of fast du/dt switching transients. Once present, different types of bearing currents can accelerate the mechanical wear of bearings by causing deformation of metal parts in the bearing and degradation of the lubricating oil properties.The bearing current phenomena are well known, and several bearing current measurement and mitigation methods have been proposed. Nevertheless, in order to develop more feasible methods to measure and mitigate bearing currents, better knowledge of the phenomena is required. When mechanical wear is caused by bearing currents, the resulting aging impact has to be monitored and dealt with. Moreover, because of the stepwise aging mechanism, periodically executed condition monitoring measurements have been found ineffective. Thus, there is a need for feasible bearing current measurement methods that can be applied in parallel with the normal operation of series production drive systems. In order to reach the objectives of feasibility and applicability, nonintrusive measurement methods are preferred. In this doctoral dissertation, the characteristics and conditions of bearings that are related to the occurrence of different kinds of bearing currents are studied. Further, the study introduces some nonintrusive radio-frequency-signal-based approaches to detect and measure parameters that are associated with the accelerated bearing wear caused by bearing currents.
Resumo:
Infarct-induced heart failure is usually associated with cardiac hypertrophy and decreased ß-adrenergic responsiveness. However, conflicting results have been reported concerning the density of L-type calcium current (I Ca(L)), and the mechanisms underlying the decreased ß-adrenergic inotropic response. We determined I Ca(L) density, cytoplasmic calcium ([Ca2+]i) transients, and the effects of ß-adrenergic stimulation (isoproterenol) in a model of postinfarction heart failure in rats. Left ventricular myocytes were obtained by enzymatic digestion 8-10 weeks after infarction. Electrophysiological recordings were obtained using the patch-clamp technique. [Ca2+]i transients were investigated via fura-2 fluorescence. ß-Adrenergic receptor density was determined by [³H]-dihydroalprenolol binding to left ventricle homogenates. Postinfarction myocytes showed a significant 25% reduction in mean I Ca(L) density (5.7 ± 0.28 vs 7.6 ± 0.32 pA/pF) and a 19% reduction in mean peak [Ca2+]i transients (0.13 ± 0.007 vs 0.16 ± 0.009) compared to sham myocytes. The isoproterenol-stimulated increase in I Ca(L) was significantly smaller in postinfarction myocytes (Emax: 63.6 ± 4.3 vs 123.3 ± 0.9% in sham myocytes), but EC50 was not altered. The isoproterenol-stimulated peak amplitude of [Ca2+]i transients was also blunted in postinfarction myocytes. Adenylate cyclase activation through forskolin produced similar I Ca(L) increases in both groups. ß-Adrenergic receptor density was significantly reduced in homogenates from infarcted hearts (Bmax: 93.89 ± 20.22 vs 271.5 ± 31.43 fmol/mg protein in sham myocytes), while Kd values were similar. We conclude that postinfarction myocytes from large infarcts display reduced I Ca(L) density and peak [Ca2+]i transients. The response to ß-adrenergic stimulation was also reduced and was probably related to ß-adrenergic receptor down-regulation and not to changes in adenylate cyclase activity.
Resumo:
Relaxation in the mammalian ventricle is initiated by Ca2+ removal from the cytosol, which is performed by three main transport systems: sarcoplasmic reticulum Ca2+-ATPase (SR-A), Na+-Ca2+ exchanger (NCX) and the so-called slow mechanisms (sarcolemmal Ca2+-ATPase and mitochondrial Ca2+ uptake). To estimate the relative contribution of each system to twitch relaxation, SR Ca2+ accumulation must be selectively inhibited, usually by the application of high caffeine concentrations. However, caffeine has been reported to often cause changes in membrane potential due to NCX-generated inward current, which compromises the reliability of its use. In the present study, we estimated integrated Ca2+ fluxes carried by SR-A, NCX and slow mechanisms during twitch relaxation, and compared the results when using caffeine application (Cf-NT) and an electrically evoked twitch after inhibition of SR-A with thapsigargin (TG-TW). Ca2+ transients were measured in 20 isolated adult rat ventricular myocytes with indo-1. For transients in which one or more transporters were inhibited, Ca2+ fluxes were estimated from the measured free Ca2+ concentration and myocardial Ca2+ buffering characteristics. NCX-mediated integrated Ca2+ flux was significantly higher with TG-TW than with Cf-NT (12 vs 7 µM), whereas SR-dependent flux was lower with TG-TW (77 vs 81 µM). The relative participations of NCX (12.5 vs 8% with TG-TW and Cf-NT, respectively) and SR-A (85 vs 89.5% with TG-TW and Cf-NT, respectively) in total relaxation-associated Ca2+ flux were also significantly different. We thus propose TG-TW as a reliable alternative to estimate NCX contribution to twitch relaxation in this kind of analysis.
Resumo:
In literature CO 2 liquidization is well studied with steady state modeling. Steady state modeling gives an overview of the process but it doesn’t give information about process behavior during transients. In this master’s thesis three dynamic models of CO2 liquidization were made and tested. Models were straight multi-stage compression model and two compression liquid pumping models, one with and one without cold energy recovery. Models were made with Apros software, models were also used to verify that Apros is capable to model phase changes and over critical state of CO 2. Models were verified against compressor manufacturer’s data and simulation results presented in literature. From the models made in this thesis, straight compression model was found to be the most energy efficient and fastest to react to transients. Also Apros was found to be capable tool for dynamic liquidization modeling.
Resumo:
Jatkuvasti kiristyvät päästörajoitukset pakottavat teollisuuden kehittämään uusia ratkaisuja päästöjen vähentämiseksi. Hiilimonoksidin ja typen oksidien päästörajoitukset ovat erityi-sen tiukat esimerkiksi Kiinassa ja Yhdysvalloissa. Maakaasun ja ilman epätäydellisessä pa-lamisessa muodostuu hiilimonoksidia ja typen oksideja. Käytännön sovelluksissa palaminen on lähes aina epätäydellistä polttoaineen ja ilman epätäydellisen sekoittumisen takia, joten palamisreaktiossa muodostuva savukaasu sisältää edellä mainittuja haitallisia komponentteja lähes poikkeuksetta. Savukaasua voidaan puhdistaa erilaisilla menetelmillä ennen sen pää-tymistä ympäristöön. Tässä diplomityössä esitellään maakaasupoltinjärjestelmän keskeiset komponentit ja aihee-seen liittyvät tarpeelliset käsitteet sekä suunnitellaan polttoaine-ilma-seossuhdesäätö eräälle maakaasupoltinjärjestelmälle. Säädön ensisijaisena tavoitteena on pitää seossuhde mahdolli-simman tarkasti halutussa arvossa savukaasun puhdistuksen kannalta. Lisäksi säädön on tarkoitus taata mahdollisimman hyvä suorituskyky transienttitilanteissa. Järjestelmän eri osien toiminta mallinnetaan ja analysoidaan. Mallinnuksen perusteella suunnitellaan ja simu-loidaan säätöjärjestelmä. Suunniteltu säätöjärjestelmä toteutetaan osaksi polttolaitoksen automaatiojärjestelmää. Mittaustulokset osoittavat, että päästöjen kannalta säätö pitää seossuhteen riittävän tarkasti halutussa arvossa: hiilimonoksidin ja typen oksidien päästöt ovat asetettujen rajojen sisällä. Testiajojen perusteella prosessi on kuitenkin erittäin häiriöinen ja transienttitilanteissa ei saavuteta simulointien mukaista suorituskykyä.
Resumo:
We investigated whether Ca2+/calmodulin-dependent kinase II (CaMKII) and calcineurin (CaN) are involved in myocardial hypertrophy induced by tumor necrosis factor α (TNF-α). The cardiomyocytes of neonatal Wistar rats (1-2 days old) were cultured and stimulated by TNF-α (100 μg/L), and Ca2+ signal transduction was blocked by several antagonists, including BAPTA (4 µM), KN-93 (0.2 µM) and cyclosporin A (CsA, 0.2 µM). Protein content, protein synthesis, cardiomyocyte volumes, [Ca2+]i transients, CaMKIIδB and CaN were evaluated by the Lowry method, [³H]-leucine incorporation, a computerized image analysis system, a Till imaging system, and Western blot analysis, respectively. TNF-α induced a significant increase in protein content in a dose-dependent manner from 10 µg/L (53.56 µg protein/well) to 100 μg/L (72.18 µg protein/well), and in a time-dependent manner from 12 h (37.42 µg protein/well) to 72 h (42.81 µg protein/well). TNF-α (100 μg/L) significantly increased the amplitude of spontaneous [Ca2+]i transients, the total protein content, cell size, and [³H]-leucine incorporation in cultured cardiomyocytes, which was abolished by 4 µM BAPTA, an intracellular Ca2+ chelator. The increases in protein content, cell size and [³H]-leucine incorporation were abolished by 0.2 µM KN-93 or 0.2 µM CsA. TNF-α increased the expression of CaMKIIδB by 35.21% and that of CaN by 22.22% compared to control. These effects were abolished by 4 µM BAPTA, which itself had no effect. These results suggest that TNF-α induces increases in [Ca2+]i, CaMKIIδB and CaN and promotes cardiac hypertrophy. Therefore, we hypothesize that the Ca2+/CaMKII- and CaN-dependent signaling pathways are involved in myocardial hypertrophy induced by TNF-α.
Resumo:
The SEARCH-RIO study prospectively investigated electrocardiogram (ECG)-derived variables in chronic Chagas disease (CCD) as predictors of cardiac death and new onset ventricular tachycardia (VT). Cardiac arrhythmia is a major cause of death in CCD, and electrical markers may play a significant role in risk stratification. One hundred clinically stable outpatients with CCD were enrolled in this study. They initially underwent a 12-lead resting ECG, signal-averaged ECG, and 24-h ambulatory ECG. Abnormal Q-waves, filtered QRS duration, intraventricular electrical transients (IVET), 24-h standard deviation of normal RR intervals (SDNN), and VT were assessed. Echocardiograms assessed left ventricular ejection fraction. Predictors of cardiac death and new onset VT were identified in a Cox proportional hazard model. During a mean follow-up of 95.3 months, 36 patients had adverse events: 22 new onset VT (mean±SD, 18.4±4‰/year) and 20 deaths (26.4±1.8‰/year). In multivariate analysis, only Q-wave (hazard ratio, HR=6.7; P<0.001), VT (HR=5.3; P<0.001), SDNN<100 ms (HR=4.0; P=0.006), and IVET+ (HR=3.0; P=0.04) were independent predictors of the composite endpoint of cardiac death and new onset VT. A prognostic score was developed by weighting points proportional to beta coefficients and summing-up: Q-wave=2; VT=2; SDNN<100 ms=1; IVET+=1. Receiver operating characteristic curve analysis optimized the cutoff value at >1. In 10,000 bootstraps, the C-statistic of this novel score was non-inferior to a previously validated (Rassi) score (0.89±0.03 and 0.80±0.05, respectively; test for non-inferiority: P<0.001). In CCD, surface ECG-derived variables are predictors of cardiac death and new onset VT.
Resumo:
Diplomityössä tutkitaan virtauksen kääntymistä Lappeenrannan teknillisen yliopiston PWR PACTEL –koelaitteiston pystyhöyrystimen lämmönvaihtoputkissa käyttäen APROS–prosessisimulointiohjelmaa. Työn teoriaosassa esitellään pystyhöyrystimillä varustettuja koelaitteistoja, erityisesti PWR PACTEL ja sen höyrystin. Lisäksi esitellään virtauksen kääntymisestä tehtyjä havaintoja ja käsitellään kääntymistä teoreettisesta näkökulmasta. Simulointiosan alussa esitellään työssä käytetty APROS –prosessisimulointiohjelma, sekä sen avulla höyrystimestä luodut mallit. Työssä on tutkittu virtauksen käännöstapahtumaa simuloimalla useita eri transienttitilanteita pienillä primäärimassavirroilla. Simulaatiotapauksissa havaittiin virtauksen kääntyvän höyrystimen eripituisissa lämmönvaihtoputkissa, tilanteesta riippuen pääosin lyhimmissä tai toisiksi lyhimmissä lämmönvaihtoputkissa. Transienttien eri vaiheiden, ts. primäärimassavirran muutos- ja tasaantumisvaiheiden pituuden havaittiin vaikuttavan siihen, minkä pituisissa putkissa kääntyminen tapahtuu ja missä järjestyksessä.