Thermoacoustically driven flame motion and heat release variation in a swirl-stabilized gas turbine burner investigated by LIF and chemiluminescence

Laser-induced fluorescence and chemiluminescence, both phase-locked to the dominant acoustic oscillation, are used to investigate phenomena related to thermoacoustic instability in a swirl-stabilized industrial scale gas turbine burner. The observed sinusoidal phase-averaged flame motion in axial (main flow) direction is analyzed using different schemes for defining the flame position. Qualitative agreement between experimental data and theoretical analysis of the observed flame motion is obtained, interpreted as originating primarily from variation of the burning velocity. The heat release variation during an acoustic cycle is determined from the sinusoidally varying total OH* chemiluminescence intensity.

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Diffuser stall and rotating zones of separated boundary layer

Unsteady flows and rotating stall in vaneless diffusers were investigated by measuring both the wall fluctuating pressures and the unsteady velocity field using hot-wires and laser Doppler anemometers. Experiments were carried out with a fixed impeller and fixed diffuser inlet and outlet radii. However, the diffuser width was varied so that its effect on rotating stall could be examined. Results show that the variation of _r with b/r _i is in qualitative agreement with the prediction of Senoo et al. (1977). Therefore, the onset of stall is delayed as diffuser width is decreased. For diffusers with small width, stall emerges first with one stall cell and then develops into 2 and 4 stall cells as the mass flow rate is decreased. On the other hand, for the diffuser with the largest width tested, stall emerges with one stall cell and quickly develops into 3 stall cells. The ratio of the speed of rotation of the stall cell to impeller speed is independent of diffuser width, but decreases slightly as the number of stall cells increases. Finally, rotating stall is associated with reversed flow originating from the hub side rather than from the shroud side.     

Turbulent jet flows with buoyancy and swirl

Übersicht Das gleichzeitige Auftreten von Auftrieb und Drall in vertikalen, runden, turbulenten Freistrahlen wird mit einer Integralmethode untersucht. Durch Hinzunahme der Bewegungs- und Energiegleichung an der Strahlachse kann auf die Verwendung eines empirischen Entrainmentkoeffizienten verzichtet werden. Es zeigt sich, daß zwischen Druck- und Axialgeschwindigkeitsprofilen eine ganz bestimmte Beziehung bestehen muß, um unrealistische Singularitäten im Strömungsfeld zu vermeiden. Die Beziehung wird durch Meßergebnisse annähernd bestätigt. Der Einfluß des Dralls auf alle Strömungsgrößen ist in der Nähe des Ursprungs am stksten. Eine Zunahme der dimensionslosen Drallzahl bewirkt eine starke Aufwertung des Strahls mit 180° Öffnungswinkel im Ursprung und eine Abnahme der axialen Geschwindigkeit. Im Grenzfall sehr hoher Drallzahlen entsteht eine neue Strahlströmung, die als drallbehafteter, auftriebserzeugter Strahl bezeichnet wird. Stromabwärts klingen die Dralleffekte rasch ab und Auftriebseffekte nehmen an Bedeutung zu. Das asymptotische Verhalten entspricht einem auftriebserzeugten Strahl (plume).

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Turbulent jet flows with buoyancy and swirl

Summary Vertical, round, turbulent jets with combined effects of buoyancy and swirl are investigated by an integral method. The method avoids application of an empirical entrainment coefficient by including the differential equations of motion and energy at the jet axis. It is shown that pressure and velocity profiles have to be related to each other in order to avoid unrealistic singularities in the flow field. This relationship is approximately confirmed by measurements. With respect to all flow quantities, the influence of swirl is felt strongest near the origin. Increasing the dimensionless swirl number strongly increases the width of the jet (with infinite derivative at the origin) and decreases the axial velocity. In the limiting case of very high swirl numbers a new type of jet flow is found which can be called a swirling plume. Further, downstream swirl effects decay rapidly and buoyancy becomes relatively more important. The asymptotic behaviour resembles that of a plume.

     

Beeinflussung der Eigenwerte von Schwingungssystemen mit modaler Dämpfung

Übersicht Die exakte oder näherungsweise Erfüllung der Proportionalität einzelner Operatoren in der Differentialgleichung diskreter oder kontinuierlicher Systeme führt zu Vereinfachungen bei der Bestimmung des Eigenverhaltens. Insbesondere läßt die Kenntnis der Proportionalitätskonstanten schon den Schluß von den Eigenwerten eines vereinfachten Systems auf das Verhalten des Originalproblems zu. Es wird ein Diagramm vorgestellt, das Anhaltspunkte für Änderungen liefert, die bezüglich Stabilität, Schwingen, Kriechen etc. das gewünschte Systemverhalten herstellen.

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Summary The exact or approximate existence of proportionality of some operators in the differential equation of discrete or continuous systems leads to simplifications in calculation of the characteristic behaviour.Particularly the knowledge of the proportionality factors allows a conclusion from the eigenvalues of a simplified to those of the original problem. A diagram is represented, which gives criterions to modificate the system parameters in such a way that a special behaviour — with respect to stability, oscillating, creeping etc. — is reached.

     

Einfluß nichtnewtonscher Stoffeigenschaften auf die Taylor-Wirbelströmung

Zusammenfassung Nach einer kurzen Beschreibung über die Anwendung der Taylor-Wirbelströmung bei der Filtration von nichtnewtonschen Flüssigkeiten werden polymere Modellflüssigkeiten charakterisiert, die als Partikel- und Netzwerklösungen in einer Wirbelströmungsapparatur eingesetzt wurden. Die Fließkurven der Polymerlösungen zeigen aufgrund der extrem hochmolekularen Polymerproben neben strukturviskosen Erscheinungen auch dilatantes Fließverhalten mit besonderer Wirkung auf die Taylor-Wirbelströmung.Die Versuchsflüssigkeiten offenbaren vier verschiedene Typen von Strömungsinstabilitäten: spiralförmige, schwingende und stationäre Instabilitäten sowie gedämpfte Turbulenz. Während die stark strukturviskosen Netzwerklösungen alle genannten Formen aufweisen, fehlt bei den Partikellösungen die spiralförmige Instabilität.Unter Zuhilfenahme des Hantelmolekülmodells zur Beschreibung viskoelastischer Strömungsphänomene gelingt es, durch Einführung einer kritischen Deborahzahl den Einsatzpunkt nichtnewtonscher Taylorströmungseffekte vorauszusagen. Die gefundene Beziehung steht in engem Zusammenhang mit dehnviskositätserhöhenden Polymerwirkungen in Porenströmungen und mit reibungsmindernden Polymereffekten in turbulenten Rohrströmungen.

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Experimental investigations dealing with dilute polymer solutions are described after a short review of the application of Taylor-vortex flow in the filtration processes of non-Newtonian fluids. The test fluids represent both viscoelastic solutions with isolated macromolecules and network solutions with power law fluid behaviour.These solutions show four different types of flow instabilities: spiral-shaped, oscillatory, steady and turbulent phenomena. The Taylor-numbers which depend upon the polymer concentration are determined for the onset of these instability types. For isolated macromolecule solutions, the Deborah-number concept for dilute dumbbell solutions can be applied to describe the first appearance of irregular nonstationary Taylor vortices.The present data are compared to literature values. This fluid behaviour is related to extensional viscosity increases which are also observed in porous media flow and turbulent pipe flow of dilute macromolecular solutions.

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Nomenklatur A, B Konstanten aus Randbedingungen der Ringspaltströmung - C Polymerkonzentration - D Schergeschwindigkeit - De Deborahzahl - l Länge einer Wirbelzelle - L Zylinderlänge - m Gesamtanzahl der Wirbelpaare zur Bestimmung der Wellenzahl - M Molmasse der Polymere - M _w Gewichtsmittel der Molmasse - M _v Viskositätsmittel der Molmasse - n Drehzahl des Rotors - universelle Gaskonstante - r Radius - R _a Radius des Außenzylinders - R _i Radius des Innenzylinders - s Spaltweite - s ^* dimensionslose Spaltweite - T Temperatur - Ta Taylorzahl - v Umfangsgeschwindigkeit - z Anzahl der Wirbelpaare zur Bestimmung der Wellenzahl Griechische Symbole Deformationskoeffizient von Makromolekülen - Wellenzahl - Dehnrate - dynamische Viskosität - [] Grenzviskositätszahl - Relaxationszeit - Dichte - Schubspannung - Winkelgeschwindigkeit - _a Winkelgeschwindigkeit des Außenzylinders - _i Winkelgeschwindigkeit des Innenzylinders Indices c kritisch (erstmaliges Auftreten von Taylorwirbel) - N newtonsch - o onset, Schwellwert - P polymer - r radial - Sch schwingend - Spir spiralförmig - Stat stationär - Turb turbulent - T Taylorströmung - Umfangsrichtung Herrn Prof. Dr. Heinz Harnisch zum 60. Geburtstag gewidmet     

An experimental study of the behavior of transient isolated convection in a rigidly rotating fluid

The temperature field of starting thermal plumes were measured in a rotating annulus with various rotation rates and buoyancies. The experiments revealed many details of the internal structure of these convective phenomena and also significant horizontal displacements from their source. Measurements show an increase in the maximum temperature observed in the thermal caps with increasing rotation and a more rapid cooling of the buoyancy source.List of symbols D angle relating inward centripetal acceleration to buoyant acceleration, defined by tan D = R/g - g gravitational acceleration - P total pressure of ambient fluid - R radial coordinate measured from rotation axis - R ₀ distance from rotation axis to buoyancy source - u velocity of fluid parcel along the radial direction - velocity of fluid parcel along the azimuthal direction - w velocity of fluid parcel along the axial direction - z axial coordinate, measured upward from the plane containing the buoyancy source - density of a buoyant parcel of fluid - ₀ density of the ambient fluid - azimuthal angle measured from the radial line passing through the buoyancy source - rotation rate of the R––z coordinate system in radians/second     

A new method of representation of fiber creep data tensile creep behavior of some acrylic fibers

Summary Fiber creep data are usually represented as plots of extension versus time at constant stress and temperature. Fiber samples, however, exhibit some degree of variability in structure from filament to filament. Consequently, even when initial applied stresses are nominally equivalent (as determined by measurement of cross-sectional area, and load), the creep of individual fibers can differ significantly, and the creep behavior of a sample can only be characterized statistically.Structural parameters such as orientation, which affect fiber properties greatly, and therefore creep, are not considered in the conventional representation of creep data. Orientation, in turn, is associated with stretch or extension. On this basis, creep, i. e. creep rate, can be expected to depend on extension.In the proposed method for representing creep data, the rate of creep is related to the extension at a constant time and temperature. In these so-called isochronal creep rate curves, the use of stress as an independent variable is omitted, and is replaced by extension. This method of representation discloses common creep characteristics in fibers, which, though taken from the same sample, exhibit widely different creep behavior when treated conventionally. In this way, the creep behavior of the whole sample can be conveniently represented. These plots reveal more detail than the ordinary creep curves, and indicate different creep mechanisms within certain extension regions as well as the stretch-relaxation history of the particular fiber sample. In this paper, the aspects and limitations of these two methods of representation of creep data are discussed, and their relative merits are demonstrated using experimental acrylic fibers.     

Elongational properties and molecular structure of polyethylene melts

Summary The viscosity and the recoverable strain in the steady state of elongation have been measured on several polyethylenes of different molecular structures. The elongational viscosity as a function of tensile stress runs through a more or less pronounced maximum in the nonlinear range whereas in the linear range the Trouton viscosity is reached. For low density polyethylenes it could be demonstrated that the maximum of the steady-state elongational viscosity and the elasticity expressed by the steady-state compliances in shear and tension sensitively increase if the molecular weight distribution is broadened by the addition of high molecular weight components. A variation of the weight average molecular weight does only shift the elongational viscosity curve but leaves its shape unchanged. Two of the four high density polyethylenes investigated do not show a maximum of the steady-state elongational viscosity, for the others it is less pronounced than in the case of low density polyethylenes. The influence of branching on the elongational behaviour of polyethylene melts in the steady-state and the transient region is qualitatively discussed.With 11 figures and 4 tables     

Turbulence in cooling channels of rocket engines: Large Eddy Simulations

The aim of this Note is to predict by means of large eddy simulations the three-dimensional structures and secondary mass and heat fluxes which develop within a heated curved duct, for applications to rocket engines cooling channels. We show the existence of unsteady Görtler-type vortices above the concave wall, as well as intense secondary vortices taking the shape of two quasi-steady counter-rotating cells of Ekman type close to the convex wall. These cells control heat exchanges. They induce ejections and sweeps close to the convex wall when it is heated. In this case the Nusselt number undergoes strong transverse fluctuations which might induce material alterations. To cite this article: C. Münch, O. Métais, C. R. Mecanique 333 (2005).     

Nonequilibrium thermodynamics of pseudoelasticity

Solid-solid phase transitions often exhibit hystereses, and a hysteresis indicates energy dissipation. Pseudoelasticity refers to a hysteretic loadingunloading characteristic observed in the stress-induced martensitic transformation of shape memory alloys.This paper describes the thermodynamic model ofideal pseudoelasticity, a largely schematized adaptation of the experimental observations, and it reviews the works of other authors on thermodynamics of pseudoelasticity. Different approaches vary widely and we have chosen to put them into perspective by contrasting their assumptions and predictions against those of ideal pseudoelasticity.Ideal pseudoelasticity receives support from the experimental results of Fu [1] and its thermodynamic properties have been exploited by Huo [2]. The model makes use of an analytical ansatz proposed by Müller [3] in which the hysteresis is assumed to be due to the presence of a coherency energy in solid phase mixtures. This model permits the study of stability of the equilibrium states and the calculation of the energy dissipation or entropy production during the phase transition: The equilibrium states of a phase mixture are found to be unstable in load-controlled processes and the dissipated energy is related to the coherency coefficient.We also discuss some open problems concerning the states inside the hysteresis loop and the formation of interfaces.