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Academic literature on the topic 'Rotor walks'

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Published: 25 May 2024

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Journal articles on the topic "Rotor walks"

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Angel, Omer, and Alexander E. Holroyd. "Rotor Walks on General Trees." SIAM Journal on Discrete Mathematics 25, no. 1 (January 2011): 423–46. http://dx.doi.org/10.1137/100814299.

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Huss, Wilfried, and Ecaterina Sava-Huss. "Range and Speed of Rotor Walks on Trees." Journal of Theoretical Probability 33, no. 3 (April 20, 2019): 1657–90. http://dx.doi.org/10.1007/s10959-019-00904-1.

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Groiseau, Caspar, Alexander Wagner, Gil Summy, and Sandro Wimberger. "Impact of Lattice Vibrations on the Dynamics of a Spinor Atom-Optics Kicked Rotor." Condensed Matter 4, no. 1 (January 14, 2019): 10. http://dx.doi.org/10.3390/condmat4010010.

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We investigate the effect of amplitude and phase noise on the dynamics of a discrete-time quantum walk and its related evolution. Our findings underline the robustness of the motion with respect to these noise sources, and can explain the stability of quantum walks that has recently been observed experimentally. This opens the road to measure topological properties of an atom-optics double kicked rotor with an additional internal spin degree of freedom.
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Florescu, Laura, Shirshendu Ganguly, Lionel Levine, and Yuval Peres. "Escape Rates for Rotor Walks in $\mathbb{Z}^d$." SIAM Journal on Discrete Mathematics 28, no. 1 (January 2014): 323–34. http://dx.doi.org/10.1137/130908646.

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Dereniowski, Dariusz, Adrian Kosowski, Dominik Pająk, and Przemysław Uznański. "Bounds on the cover time of parallel rotor walks." Journal of Computer and System Sciences 82, no. 5 (August 2016): 802–16. http://dx.doi.org/10.1016/j.jcss.2016.01.004.

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Kaiser, Robin, and Ecaterina Sava-Huss. "Random rotor walks and i.i.d. sandpiles on Sierpiński graphs." Statistics & Probability Letters 209 (June 2024): 110090. http://dx.doi.org/10.1016/j.spl.2024.110090.

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Chan, Swee Hong. "Rotor Walks on Transient Graphs and the Wired Spanning Forest." SIAM Journal on Discrete Mathematics 33, no. 4 (January 2019): 2369–93. http://dx.doi.org/10.1137/18m1217139.

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DOERR, BENJAMIN, and TOBIAS FRIEDRICH. "Deterministic Random Walks on the Two-Dimensional Grid." Combinatorics, Probability and Computing 18, no. 1-2 (March 2009): 123–44. http://dx.doi.org/10.1017/s0963548308009589.

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Jim Propp's rotor–router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbours in a fixed order. We analyse the difference between the Propp machine and random walk on the infinite two-dimensional grid. It is known that, apart from a technicality, independent of the starting configuration, at each time the number of chips on each vertex in the Propp model deviates from the expected number of chips in the random walk model by at most a constant. We show that this constant is approximately 7.8 if all vertices serve their neighbours in clockwise or order, and 7.3 otherwise. This result in particular shows that the order in which the neighbours are served makes a difference. Our analysis also reveals a number of further unexpected properties of the two-dimensional Propp machine.
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Pham, Trung Van. "Orbits of rotor-router operation and stationary distribution of random walks on directed graphs." Advances in Applied Mathematics 70 (September 2015): 45–53. http://dx.doi.org/10.1016/j.aam.2015.06.006.

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Klasing, Ralf, Adrian Kosowski, Dominik Pająk, and Thomas Sauerwald. "The multi-agent rotor-router on the ring: a deterministic alternative to parallel random walks." Distributed Computing 30, no. 2 (September 17, 2016): 127–48. http://dx.doi.org/10.1007/s00446-016-0282-y.

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Dissertations / Theses on the topic "Rotor walks"

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Pajak, Dominik. "Algorithms for Deterministic Parallel Graph Exploration." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2014. http://tel.archives-ouvertes.fr/tel-01064992.

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Nous étudions dans cette thèse le problème de l'exploration parallèle d'un graphe à l'aide des multiples, synchronisés et mobiles agents. Chaque agent est une entité individuelle qui peut, indépendamment des autres agents, visitez les sommets du graphe ou parcourir ses arêtes. Le but de ensemble des agents est de visiter tous les sommets de graphe. Nous étudions d'abord l'exploration du graphe dans un modèle où chaque agent est équipé de mémoire interne, mais les nœuds n'ont pas de mémoire. Dans ce modèle les agents sont autorisés à communiquer entre eux en échangeant des messages. Nous présentons des algorithmes qui s'exécutent dans un minimum de temps possible pour polynomiale nombre d'agents (polynomiale en nombre de sommets du graphe). Nous étudions aussi quelle est l'impacte de différent méthodes des communications. Nous étudions des algorithmes où les agents peuvent se communiquer à distance arbitraire, mais aussi où communication est possible seulement entre les agents situés dans le même sommet. Dans les deux cas nous présentons des algorithmes efficaces. Nous avons aussi obtenu des limites inférieures qui correspondent bien à la performance des algorithmes. Nous considérons également l'exploration de graphe en supposant que les mouvements des agents sont déterminés par le soi-disant rotor-router mécanisme. Du point de vue d'un sommet fixé, le rotor- router envoie des agents qui visitent les sommet voisins dans un mode round-robin. Nous étudions l'accélération défini comme la proportion entre le pire des cas de l'exploration d'un agent unique et des plusieurs agents. Pour générales graphes, nous montrerons que le gain de vitesse en cas de multi-agent rotor-router est toujours entre fonction logarithmique et linéaire du nombre d'agents. Nous présentons également des résultats optimaux sur l'accélération de multi-agent rotor-router pour cycles, expanseurs, graphes aléatoires, cliques, tores de dimension fixé et une analyse presque optimale pour hypercubes. Finalement nous considérons l'exploration sans collision, où chaque agent doit explorer le graphe de manière indépendante avec la contrainte supplémentaire que deux agents ne peuvent pas occuper le même sommet. Dans le cas où les agents sont donnés le plan de graphe, on présente un algorithme optimal pour les arbres et un algorithme asymptotiquement optimal pour générales graphes. Nous présentons aussi des algorithmes dans le cas de l'exploration sans collision des arbres et des générales graphes dans la situation où les agents ne connaissent pas le graphe. Nous fermons la thèse par des observations finales et une discussion de problèmes ouverts liés dans le domaine de l'exploration des graphes.
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Kosowski, Adrian. "Time and Space-Efficient Algorithms for Mobile Agents in an Anonymous Network." Habilitation à diriger des recherches, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00867765.

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Computing with mobile agents is rapidly becoming a topic of mainstream research in the theory of distributed computing. The main research questions undertaken in this study concern the feasibility of solving fundamental tasks in an anonymous network, subject to limitations on the resources available to the agent. The considered challenges include: exploring a graph by means of an agent with limited memory, discovery of the network topology, and attempting to meet with another agent in another network (rendezvous). The constraints imposed on the agent include the number of moves which the agent is allowed to perform in the network, the amount of state memory available to the agent, the ability of the agent to communicate with other agents, as well as its a priori knowledge of the network topology or of global parameters.
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Books on the topic "Rotor walks"

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International Conference on Vibrations in Rotating Machinery (8th 2004 University of Wales, Swansea, UK). Eighth International Conference on Vibrations in Rotating Machinery, 7-9 September 2004, University of Wales, Swansea, UK. Bury St. Edmunds: Published by Professional Engineering Pub. Limited for The Institution of Mechanical Engineers, 2004.

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Book chapters on the topic "Rotor walks"

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Cooper, Colin, Tomasz Radzik, Nicolás Rivera, and Takeharu Shiraga. "Coalescing Walks on Rotor-Router Systems." In Structural Information and Communication Complexity, 444–58. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25258-2_31.

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Auger, David, Pierre Coucheney, Loric Duhazé, and Kossi Roland Etse. "Generalized ARRIVAL Problem for Rotor Walks in Path Multigraphs." In Lecture Notes in Computer Science, 183–98. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-45286-4_14.

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Ten Busschen, Albert. "Industrial Re-Use of Composites." In Current Topics in Recycling [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.99452.

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The amount of obsolete composites is increasing on a global scale, for example yacht hulls from a growing leisure industry and large rotor blades from wind energy production. Until now it has not been possible to recycle or disassemble thermoset composites into their original constituent parts of fibre reinforcement and resins. Subsequently a new method of re-use has been developed. This method involves machining the obsolete composite product into strips or flakes for re-use as reinforcing elements which, when combined with fresh resin and fibre, enable the production of a brand new component. This, in effect, preserves and re-uses the mechanical properties of the original obsolete composite. This method has been proven in manufacturing retaining walls, also guide beams for canals, crane mats and bridge decking, all using the strips or flakes from end of life composite products. For use on an industrial scale, a positive business case is imperative. In order to prove the industrial technology, new products have to contain a sufficiently high percentage of re-used composites in combination with automated processing. This has been achieved with “push-pultrusion” which is in essence a further development of the long established pultrusion process.
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Conference papers on the topic "Rotor walks"

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Avin, Chen, Marcin Bienkowski, Iosif Salem, Robert Sama, Stefan Schmid, and Pawel Schmidt. "Deterministic Self-Adjusting Tree Networks Using Rotor Walks." In 2022 IEEE 42nd International Conference on Distributed Computing Systems (ICDCS). IEEE, 2022. http://dx.doi.org/10.1109/icdcs54860.2022.00016.

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Akbari, Hoda, and Petra Berenbrink. "Parallel rotor walks on finite graphs and applications in discrete load balancing." In SPAA '13: 25th ACM Symposium on Parallelism in Algorithms and Architectures. New York, NY, USA: ACM, 2013. http://dx.doi.org/10.1145/2486159.2486178.

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Heuvel, Norman L. "Disc-Type Airborne Vehicle and Radial Flow Gas Turbine Engine Used Therein." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0447.

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An annular, radial flow gas turbine engine and airborne vehicle utilizing same for jet propulsion. The engine comprises counter-rotating rotors and a compressor section with counter-rotating annular rows of intermeshing compressor blades, an annular combustion section common to both rotors wherein the combustion zone is defined by oppositely rotating rotor walls, and a turbine section made up of annular rows of counter-rotating exhaust turbine blades. No stator blades are present in either the compressor or the turbine sections. The craft comprises a central hub on which the engine rotors rotate on thrust bearings, and speed-staged bearings maintain rotor tolerances with respect to each other and to nonrotating shell portions above and below the engine rotors. Air inlet guide vanes leading to the compressor section are also housed in the hub portion of the craft. Exhaust gases emitting from the turbine section are selectively ducted through the annularly arranged-downwardly directed lift thrust producing ducts and/ or rearwardly directed ducts or vanes for generation of forward propulsion. Directional control during hovering and low speed flight is by selective braking of one or the other of the rotors. and during high speed flight also by selective control of spoiler surfaces arranged in the upper and lower external surfaces of the craft.
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Wilson, Jack. "An Experimental Determination of Losses in a 3-Port Wave Rotor." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-117.

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Wave rotors, used in a gas turbine topping cycle, offer a potential route to higher specific power and lower specific fuel consumption. In order to exploit this potential properly, it is necessary to have some realistic means of calculating wave rotor performance, taking losses into account, so that wave rotors can be designed for good performance. This in turn requires a knowledge of the loss mechanisms. The experiment reported here was designed as a statistical experiment to identify the losses due to finite passage opening time, friction, and leakage. For simplicity, the experiment used a 3-port, flow divider, wave cycle, but the results should be applicable to other cycles. A 12” diameter rotor was used, with two different lengths, 9” and 18”, and two different passage widths, 0.25” and 0.54”, in order to vary friction and opening time. To vary leakage, moveable end-walls were provided so that the rotor to end-wall gap could be adjusted. The experiment is described, and the results are presented, together with a parametric fit to the data. The fit shows that there will be an optimum passage width for a given wave rotor, since, as the passage width increases, friction losses decrease, but opening-time losses increase, and vice-versa. Leakage losses can be made small at reasonable gap sizes.
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Takamine, Taiki, and Satoshi Watanabe. "Numerical Investigation of the Influence of Impeller-Diffuser Gap (A- and B-Gaps) on Unsteady Flow in a Centrifugal Pump at Part Flows." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5372.

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Abstract Because of the high energy density of multi-stage centrifugal pump, it is really important to ensure the reliability of the pumps thus the stability of rotor system in the wide flow rate range. Rotating stall is a well-known unsteady flow phenomenon in which one or several stall cell structures propagate circumferentially in impeller and/or diffuser. Rotating stall alters the peripheral pressure distribution of rotors, and therefore it is often regarded as one of the primary trigger of unstable fluid force acting on the rotor system. One possible factor which could affect the rotating stall is a geometrical relationship between the rotor and the stator. In the present study, unsteady RANS simulations of internal flow in a centrifugal pump are carried out. The pump is the partial model of the final stage of the three-stage centrifugal pump used in our previous study. In order to investigate the effect of the gap between impeller trailing edge and diffuser leading edge on the unsteady flow of the pump, three cases of impeller-diffuser gap is simulated; one is the smaller gap case with original impeller. The other cases are two larger gap cases with only cutting the impeller blades and with cutting the both impeller blades and impeller shroud walls. For all gap cases, the computations are conducted for the nominal flow rate and the low flor rate with 10% of the nominal flow rate. As a result, the rotating stall is observed only in the larger gap case with the cut shroud walls, indicating that the key phenomenon for the stable formation of the stall cell is not only the weakened rotor-stator interaction, but also the other phenomenon attributed to the enlarged gap between the impeller shroud walls and the diffuser walls. In the shroud cut case, a part of the main flow blocked by the stalled region and the secondary flow on the diffuser walls tend to flow into the side gaps more easily than other cases. They might be the important phenomenon associated with the diffuser rotating stall in the enlarged wall gap condition.
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Suryavamshi, N., and B. Lakshminarayana. "Numerical Prediction of Wakes in Cascades and Compressor Rotors Including the Effects of Mixing: Part II — Rotor Passage Flow and Wakes Including the Effects of Spanwise Mixing." In ASME 1991 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/91-gt-222.

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The results of a numerical investigation to predict the flow field including wakes and mixing in axial flow compressor rotors has been presented in this paper. The wake behaviour in a moderately loaded compressor rotor has been studied numerically using a three-dimensional incompressible Navier-Stokes solver with a high Reynolds number form of the k–ε turbulence model. The equations are solved using a time dependent implicit technique. The agreement between the measured data and the predictions are good; including the blade boundary layer profiles, wake mean velocity profiles and decay. The ability of the pseudo-compressibility scheme to predict the entire flow field including the near and far wake profiles and its decay characteristics, effect of loading and the viscous losses of a three-dimensional rotor flow field has been demonstrated. An analysis of the passage averaged velocities and the pressure coefficients shows that the mixing in the downstream regions away from the hub and annulus walls is dominated by wake diffusion. In regions away from the walls, the radial mixing is predominantly caused by the transport of mass, momentum and energy by the radial component of velocity in the wake.
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Jain, Rohit. "Effect of Facility Walls and Blade Aeroelasticity on PSP Rotor Hover Performance Predictions." In 2018 AIAA Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-0305.

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Tüchler, Stefan, and Colin D. Copeland. "Validation of a Numerical Quasi One-Dimensional Model for Wave Rotor Turbines With Curved Channels." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90868.

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Abstract A wave rotor is a shock-driven pressure exchange device that, whilst relatively rarely studied or indeed, employed, offers significant potential efficiency gains in a variety of applications including refrigeration and gas turbine topping cycles. This paper introduces a quasi one-dimensional wave action model implemented in MATLAB for the computation of the unsteady flow field and performance characteristics of wave rotors of straight or cambered channel profiles. The purpose here is to introduce and validate a rapid but reliable method of modelling the performance of a power-generating wave rotor where little such insight exists in open literature. The model numerically solves the laminar one-dimensional Navier-Stokes equations using a two-step Richtmyer TVD scheme with minmod flux limiter. Additional source terms account for viscous losses, wall heat transfer, flow leakage between rotor and stator endplates as well as torque generation through momentum change. Model validation was conducted in two steps. First of all, unsteady and steady predictive capabilities were tested on three-port pressure divider rotors from open literature. The results show that both steady port flow conditions as well as the wave action within the rotor can be predicted with good agreement. Further validation was done on an in-house developed and experimentally tested four-port, three-cycle, throughflow micro wave rotor turbine featuring symmetrically cambered passage walls aimed at delivering approximately 500 W of shaft power. The numerical results depict trends for pressure ratio, shaft power and outlet temperature reasonably well. However, the results also highlight the need to accurately measure leakage gaps when the machine is running in thermal equilibrium.
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Jenny, P., R. S. Abhari, M. G. Rose, M. Brettschneider, and J. Gier. "A Low Pressure Turbine With Profiled End Walls and Purge Flow Operating With a Pressure Side Bubble." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-46309.

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This paper presents an experimental and computational study of non-axisymmetric rotor end wall profiling in a low pressure turbine. End wall profiling has been proven to be an effective technique to reduce both turbine blade row losses and the required purge flow. For this work a rotor with profiled end walls on both hub and shroud is considered. The rotor tip and hub end walls have been designed using an automatic numerical optimisation that is implemented in an in-house MTU code. The end wall shape is modified up to the platform leading edge. Several levels of purge flow are considered in order to analyze the combined effects of end wall profiling and purge flow. The non-dimensional parameters match real engine conditions. The 2-sensor Fast Response Aerodynamic Probe (FRAP) technique system developed at ETH Zurich is used in this experimental campaign. Time-resolved measurements of the unsteady pressure, temperature and entropy fields between the rotor and stator blade rows are made. For the operating point under investigation the turbine rotor blades have pressure side separations. The unsteady behavior of the pressure side bubble is studied. Furthermore, the results of unsteady RANS simulations are compared to the measurements and the computations are also used to detail the flow field with particular emphasis on the unsteady purge flow migration and transport mechanisms in the turbine main flow containing a rotor pressure side separation. The profiled end walls show the beneficial effects of improved measured efficiency at this operating point, together with a reduced sensitivity to purge flow.
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Kost, F. "Three Dimensional Transonic Flow Measurements in an Axial Turbine With Conical Walls." In ASME 1992 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/92-gt-061.

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To investigate the spatial flow structure caused by sweep and dihedral effects in turbomachinery blade rows, detailed measurements have been conducted in the windtunnel for rotating annular cascades of DLR-Göttingen. The special configuration investigated, consisted of a turbine rotor equipped with straight blades, a conical hub and a conical casing with a cone half-angle of 30°. Numerous flow data are obtained from surface pressure distributions at seven radial blade sections and from Laser velocimetry upstream, downstream and inside the rotor. As the Laser-Two-Focus technique is a two-dimensional one, two laser velocity measurements at different angles bad to be taken at each meaurement location in the flow, in order to get the three components of velocity. The measurement accuracy of the three derived Mach number components in the blade relative system has been evaluated and stored together with mean and fluctuating values at each measurement location.
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