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rsta.royalsocietypublishing.org Research Cite this article: Firsov A, Savelkin KV, Yarantsev DA, Leonov SB. 2015 Plasma-enhanced mixing and flameholding in supersonic flow. Phil. Trans. R. Soc. A 373: 20140337. http://dx.doi.org/10.1098/rsta.2014.0337 Accepted: 11 May 2015 One contribution of 14 to a theme issue ‘Physics and chemistry of plasma-assisted combustion’. Subject Areas: mechanical engineering, plasma physics, chemical physics Keywords: plasma-assisted combustion, supersonic combustor, injection-ignition module, mixing enhancement Author for correspondence: Sergey B. Leonov e-mail: [email protected] Plasma-enhanced mixing and flameholding in supersonic flow Alexander Firsov 1 , Konstantin V. Savelkin 1 , Dmitry A. Yarantsev 1 and Sergey B. Leonov 1,2 1 Joint Institute for High Temperatures, Russian Academy of Sciences, 125412 Moscow, Russia 2 Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556, USA The results of experimental study of plasma-based mixing, ignition and flameholding in a supersonic model combustor are presented in the paper. The model combustor has a length of 600 mm and cross section of 72 mm width and 60 mm height. The fuel is directly injected into supersonic airflow (Mach number M = 2, static pressure P st = 160–250 Torr) through wall orifices. Two series of tests are focused on flameholding and mixing correspondingly. In the first series, the near-surface quasi-DC electrical discharge is generated by flush-mounted electrodes at electrical power deposition of W pl = 3–24 kW. The scope includes parametric study of ignition and flame front dynamics, and comparison of three schemes of plasma generation: the first and the second layouts examine the location of plasma generators upstream and downstream from the fuel injectors. The third pattern follows a novel approach of combined mixing/ignition technique, where the electrical discharge distributes along the fuel jet. The last pattern demonstrates a significant advantage in terms of flameholding limit. In the second series of tests, a long discharge of submicrosecond duration is generated across the flow and along the fuel jet. A gasdynamic instability of thermal cavity developed after a deposition of high-power density in a thin plasma filament promotes the air–fuel mixing. The technique studied in this work has weighty potential for high-speed combustion applications, including cold start/restart of scramjet engines and support of transition regime in dual-mode scramjet and at off- design operation. 2015 The Author(s) Published by the Royal Society. All rights reserved. on June 25, 2018 http://rsta.royalsocietypublishing.org/ Downloaded from

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    ResearchCite this article: Firsov A, Savelkin KV,Yarantsev DA, Leonov SB. 2015Plasma-enhanced mixing and flameholding insupersonic flow. Phil. Trans. R. Soc. A 373:20140337.http://dx.doi.org/10.1098/rsta.2014.0337

    Accepted: 11 May 2015

    One contribution of 14 to a theme issuePhysics and chemistry of plasma-assistedcombustion.

    Subject Areas:mechanical engineering, plasma physics,chemical physics

    Keywords:plasma-assisted combustion, supersoniccombustor, injection-ignition module,mixing enhancement

    Author for correspondence:Sergey B. Leonove-mail: [email protected]

    Plasma-enhanced mixingand flameholdingin supersonic flowAlexander Firsov1, Konstantin V. Savelkin1,

    Dmitry A. Yarantsev1 and Sergey B. Leonov1,2

    1Joint Institute for High Temperatures, Russian Academy of Sciences,125412 Moscow, Russia2Department of Aerospace and Mechanical Engineering,University of Notre Dame, Notre Dame, IN 46556, USA

    The results of experimental study of plasma-basedmixing, ignition and flameholding in a supersonicmodel combustor are presented in the paper. Themodel combustor has a length of 600 mm and crosssection of 72 mm width and 60 mm height. The fuelis directly injected into supersonic airflow (Machnumber M = 2, static pressure Pst = 160250 Torr)through wall orifices. Two series of tests are focusedon flameholding and mixing correspondingly. Inthe first series, the near-surface quasi-DC electricaldischarge is generated by flush-mounted electrodesat electrical power deposition of Wpl = 324 kW. Thescope includes parametric study of ignition andflame front dynamics, and comparison of threeschemes of plasma generation: the first and thesecond layouts examine the location of plasmagenerators upstream and downstream from the fuelinjectors. The third pattern follows a novel approachof combined mixing/ignition technique, where theelectrical discharge distributes along the fuel jet. Thelast pattern demonstrates a significant advantage interms of flameholding limit. In the second series oftests, a long discharge of submicrosecond duration isgenerated across the flow and along the fuel jet. Agasdynamic instability of thermal cavity developedafter a deposition of high-power density in a thinplasma filament promotes the airfuel mixing. Thetechnique studied in this work has weighty potentialfor high-speed combustion applications, includingcold start/restart of scramjet engines and support oftransition regime in dual-mode scramjet and at off-design operation.

    2015 The Author(s) Published by the Royal Society. All rights reserved.

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    1. IntroductionThe effective operation of high-speed air-breathing engines (ram- and scramjets) over a widerange of flow parameters (velocity and altitude) is one of the most technically difficultchallenges in design of hypersonic vehicles. The promising approach is a scramjet havingflexible gasdynamic configurations that meets a number of extremely challenging technical issues:materials, gears, etc. Commonly discussed trade-off assessment consists of a fixed geometricalconfiguration based on some characteristic Mach number of operation and a control systemaugmenting a poorer performance for lower and higher values of Mach number, especially forram/scram transition mode [13]. To improve the overall capability of a scramjet with fixed ductgeometry at variable conditions, some methods could be applied such as a staged fuel injection,additional mechanical flameholding, or electrical discharge as an ignitor and flameholder. Themain advantage of plasma application for control of fuel ignition/combustion is due to non-equilibrium, non-uniform and transient nature of electrical discharges, which deliver a synergywith thermal effects (heating) owing to essentially nonlinear behaviour of induction time versusgas temperature. Those properties may also be of critical importance under non-premixed flowconditions, enhancing airfuel mixing in compressible flows [48]. Three main ideas underliethe concept of plasma-assisted combustion: the gas heating/non-equilibrium excitation by thedischarge, fuelair mixing enhancement owing to gasdynamic instability generation, and controlof flow structure in the vicinity of the reaction zone. Sections 3 and 4 consider the experimentaldata emphasizing the details of plasma-flowfuel interaction.

    A number of experimental studies have been performed to demonstrate the electricaldischarge capability for the fuel ignition under conditions typical for scramjet operation [911].In most of those experiments, a modification of supersonic duct geometry was used, such asa backward facing wall step or a contoured cavity, and plasma was used as an igniter ofa combustible mixture in a low-speed flow region. At the same time, previous experimentsusing an alternative configuration, where an electric discharge was sustained over a planewall [12,13], demonstrated feasibility of plasma application as an effective flameholder in asupersonic combustor, without relying on mechanical obstacles. The last approach is particularlyconsidered in this work. Over the years, a main benefit of plasma application was expectedowing to highly non-equilibrium chemical kinetics, which helps to reduce plasma power for fueloxidizer mixture ignition [57,1416]. There was shown a dramatic reduction of ignition time upto orders of magnitude at premixed conditions, including a specifically important for scramjettechnology range of gas temperature, T0 = 500900 K. Despite very promising capability, such anapproach looks to be a little impractical for high-speed engines with a direct fuel injection. Inmost conditions, a main limiting factor is a rather slow mixing, resulting in strong gradients offueloxidizer ratio across a combustion chamber.

    Mixing enhancement by plasma is the second principal focus of this work. In practicalschemes of non-premixed flow, the combustion and mixing develop simultaneously affectingeach other [1719]. In general, the molecular diffusion and the kinematic stretching of fueloxidizer interface are responsible for the mixing process. However, the molecular diffusion is arather slow process and the mechanism of interface stretching, natural or artificial, is only enableto provide a fast enough mixing in compressible flow. Both direct and indirect mechanisms ofplasma-flow interaction may be responsible for the mixing boost. First, plasma-based heatinggenerated in the flow acts as a gradual obstacle, generating a vortex flow similar to a Karmanvortex trail [20]. A body force generation due to electrical current in an external magnetic field(magnetohydrodynamics mechanism) affects the flow structure and mixing accordingly [21,22].Another direct plasma effect is caused by strong modulation of power deposition in the electricdischarge, which results in boundary layer or shear layer tripping, depending of the dischargelocation. An indirect mechanism of mixing enhancement is realized through the RichtmyerMeshkov instability, occurring in flows with non-collinear gradients of density and pressure [23].This leads to formation of deterministic vortex-dominated flows and, subsequently, to small-scaleperturbations resulting in accelerated interface stretch and turbulent kinematic mixing. The most

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    challenging issue in this case is a right location of typically non-uniform discharge in a shear layerbetween a fuel jet and surrounding airflow [24].

    A novel pattern of plasmafuel interaction is examined in this paper comparing withpreviously tested configurations, where plasma was generated in air in front or behind of the fuelinjection [12,13,25]. In the current scheme, electric discharge partially locates inside of an injectionorifice, chemically preprocessing the fuel and accelerating the mixing owing to introduction ofstrong thermal inhomogeneity into flowfield. For future research such an approach looks to bequite promising to promote mixing and flameholding in a supersonic combustor.

    2. Experimental apparatus and diagnosticsThe experiments were performed in a supersonic blow-down wind tunnel PWT-50H [12,13], aschematic of which is shown in figure 1. In the present configuration, the test section operates asa supersonic combustor, with the fuel injectors and electrical discharge generator flush-mountedon a plane wall [20], as shown tentatively in figure 1b. The coordinate system X, Y, Z = 0 is placedat fuel injector exit. The combustor cross section is Dy(width) Dz(height) = 72 60 mm, witha length of Dx = 600 mm. To avoid thermal choking during fuel ignition, the test section has a1015 expansion angle downstream of the injectors x = 4060 mm on the opposite (bottom) wall,to the cross section of Dy Dz = 72 72 mm. The experimental conditions are as follows: initialMach number M = 2; static pressure Pst = 160250 Torr; stagnation temperature T0 = 300 K; airmass flow rate Gair = 0.60.9 kg s1; fuel (ethylene) mass flow rate GC2H4 = 18 g s1; duration ofsteady-state aerodynamic operation t 0.5 s. The global equivalence ratio (ER) alters in the rangeof ER = 0.020.15, while the local value is rather variable in zone of interaction.

    The test section of PWT-50H high-speed combustion facility is equipped with three pairsof 100 mm diameter quartz windows placed in the side walls of the duct for optical access.The first pair of windows is located near the upstream side of the combustor and providesoptical access to the area of plasmafuel-flow interaction. The second pair of windows is placeddownstream, with a 65 mm gap between the two pairs of windows. The third pair of windowsis typically used for tunable diode laser absorption spectroscopy (TDLAS) measurements, as hasbeen done in our previous work [25]. Instrumentation includes the pressure measuring system,the schlieren system, UV/visible optical emission spectrometer, current and voltage sensors,TDLAS apparatus for water vapour temperature/concentration measurements, five-componentexhaust flow chemical analyser, high-speed cameras and operation sensors.

    Three basic schemes of injectors and plasma generators arrangement were examined, as shownin figure 2:

    Scheme 1: electrodes located upstream of the fuel injectors. Plasma is generated mostly inair and then interacts with injected fuel [12].

    Scheme 2: electrodes located downstream of the fuel injectors. Electrical discharge isgenerated in non-uniform airfuel composition [25].

    Scheme 3: the electrical discharge collocates with the fuel jet [26].

    In the first two patterns, the fuel is injected through five circular (d = 3.5 mm) orifices all in a rowacross the span, as is shown in figure 2b. The row of injectors is located at 20 mm downstreamof the first row of electrodes and 30 mm upstream of the second one. The direction of fuelinjection is normal to the wall. Typically, the duration of the discharge was about 100 ms. Fuelinjection was started 20 ms after the discharge initiation. The fuel injection continued 1020 msafter the discharge to observe whether the flame was held or extinguished. In the third schemefour injection-ignition modules (PIMs) are installed in the combustor on the same wall. The fuelinjectors have the same diameter and geometry as in schemes 1 and 2. The high-voltage electrode(anode) is integrated into the fuel injector to ensure significant impact of the discharge on thefuel-flow prior to its injection into the main airflow. The custom-made power supply used in thepresent experiments is designed to operate with a steep falling voltagecurrent characteristic and

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    nozzleside

    fuel

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    72 mm diffusersideZ

    Y X

    23

    1112

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    43

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    3(a)

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    Figure 1. Schematic of experimental facility PWT-50H. (a) General layout: 1, high pressure tank; 2, operation gauges; 3, solenoidvalves; 4, plenum section; 5, honeycomb; 6, nozzle; 7, test section; 8, optical access windows; 9, plasma-injector modules;10, high-voltage power supply; 11, fuel ports/discharge connectors; 12, fuel tank; 13, diffuser; 14, low-pressure tank. (b) Testsection wall profile: optical windows are indicated by circles, location of plasma-injection modules is shown by a rectangle inthe top wall of the test section. (Online version in colour.)

    electrodes scheme 2

    electrodes scheme 1

    ceramics

    ceramicsHVHVHV

    electrodes

    HV electrodes

    ceramics ceramics

    ceramicsinjection orifices

    pressure taps

    metal

    metal

    injection orificespressure taps

    flow(a)

    (b)

    plasma plasma plasma

    flow flowfuel

    fuel fuel fuel

    fuel fuel

    Figure 2. Schematic of three basic layouts of fuel injectors and electrode arrangement (a). Three-dimensional view of twoinsertions used in test (b): left image is for scheme 1 and scheme 2; right image is for scheme 3. (Online version in colour.)

    individual control of each output channel. Control of output power is performed by varying theinternal resistance of the power supply. Despite large magnitude of high-frequency oscillations,the time-averaged power values are quite stable and repeatable from run to run.

    The facility is equipped with the static pressure scanner NetScanner 9116 with 16 staticpressure sensors, B1B16, stagnation pressure sensor PPitot, pressure in vacuum tank Plp.Schlieren visualization was used as the main tool to study dynamics of the flow structuremodification during fuel ignition induced by the plasma. The high-resolution schlieren systemuses a high-power pulsed diode laser (pulse duration texp = 100 ns, frame rate up to 5000

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    (a) (b)

    (c) (d)

    Figure 3. Photographs of electrical discharge in combustion chamber, exposure time of t = 100s (compare with figure 2bfor details). Scheme 1: (a) no ethylene injection; (b) ethylene injection on. Scheme 3: (c) no ethylene injection; (d) ethyleneinjection on. (Online version in colour.)

    frames per second) and framing camera Basler A504 K (frame rate up to 1000 frames persecond synchronized with the diode laser). Emission spectra of the plasma luminescence wererecorded by a Lot-ORIEL spectrometer with Andor CCD camera (spectral range = 2001200 nm). The spectral dispersion is 0.035 nm pixel1, and the spectral resolution is 0.13 nm.The spectroscopic system collects plasma emission from a cylindrical volume aligned in theY-direction from window to window and with diameter of 10 mm.

    3. Ignition and flameholding experiment

    (a) Near-surface quasi-DC electrical discharge characterization in high-speed flowTypical photographs of the discharge appearance, taken during operation in scheme 1 andscheme 3, without and with fuel injection, are presented in figure 3. In scheme 2, the dischargewithout injection looks very similar to scheme 1. A hydrocarbon fuel injection leads to significantincrease of discharge luminescence in zones of interaction, mostly because of strong CN andC2 molecular bands amplification. Total discharge power in all cases was Wpl = 624 kW. Thedischarge voltages were oscillating because of variation of discharge filament lengths, within arange of Upl = 0.72 kV. The voltampere characteristic of the discharge has a stepwise shape: atfixed parameters of electrical circuit and airflow the discharge current remains roughly constant[13]. The average power is regulated by means of variation of the discharge average currentwithin a range of Ipl = 1.57 A for each electrode or PIM. Prior to fuel injection, the dischargepower is distributed equally between the electrodes. A simple estimation shows that for thetypical tests the discharge power presents a small fraction of the thermal power released at fuelcombustion, Wpl/(h GC2H4 ) 10%, decreasing down to a few per cent at optimization. Note thatan apparatus, similar to one described in this paper, is unlikely to be used at operation with solow an overall ER but mostly as a flameholder or chemical reactor in engine with much higherthermal release.

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    200

    103

    104

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    COH

    N2CN

    CN CHC2

    C2Hb

    HaH2

    C2

    CN

    log

    (int

    ensi

    ty),

    arb

    . uni

    ts

    400wavelength (nm)

    500 600 700

    Figure 4. Optical emission spectrum taken in scheme 3 from the ethyleneairflowplasma interaction region. The spectrumincorporates seven overlapping spectra, taken separately at the same conditions. Discharge current Ipl = 24 A, ethyleneinjection jet GC2H4 = 0.51 g s1 from each module inM= 2 airflow, Pst = 180220 Torr. Major emission lines and bands arelabelled. (Online version in colour.)

    The detailed data for the discharge in modes 1 and 2 are presented in [12,13,20]. For scheme 3,the discharge dynamics is described in the following way. In the beginning of plasma filamentdevelopment, breakdown occurs along the flow inside the injector and a short gap between theinjection orifice and a grounded metal wall upstream of the injector. After this, the filamentsare blown away by the flow downstream of the injector, terminating to the grounded walldownstream of the ceramic inserts, shown in figure 2. After this occurs, the plasma filamentsextend downstream over a distance up to 100 mm, close to the surface of the ceramic insert. Thelocation of filament termination at the grounded wall oscillates at a frequency of F = 1020 kHz.The filament behaviour changes after fuel injection. Specifically, plasma emission intensityincreases and the plasma filaments move away from the surface. Operation characteristics ofindividual PIMs depend to some extent on whether the adjacent modules are powered or not,especially for the side modules.

    A composite optical emission spectrum of the plasma, taken by integrating the emissionfrom the area of plasmafuel-flow interaction, X = 2030 mm, Y = 010 mm, is displayed infigure 4. Analysis of the spectrum shows that in the presence of the hydrocarbon fuel,three different types of species are detected: hydrocarbon/carbon fragments, chemical reactionproducts resulting from interaction of hydrocarbon plasma and air, and excited air species(mainly N2). Species with highest emission intensity include atomic hydrogen, carbon andoxygen (O atom triplet line at = 777 nm outside of the spectral range of figure 4), hydrogenmolecule H2, as well as C2, CN, OH and CH radicals. Neglecting continuum luminescence,the molecular bands of CN violet system, and C2 Swan bands dominate in acquired visibleUV emission. These spectra indicate intense chemical transformations in the flow, includinggeneration of active radicals in electronically excited states. The emission spectra were usedto evaluate plasma parameters in a zone near the base of the fuel injection jet. Secondpositive system of molecular nitrogen, N2 (C3

    u, v

    = 0 B3 g, v = 0) band at = 337.1 nm,was used to infer the rotationaltranslational temperature in the plasma [27], Tr = 3000 500 K, which is strongly weighted towards the peak temperature in the plasma filament.The H atom Balmer series lines are very intense, with the H line at = 656.3 nm beingthe strongest in this case. Electron density in the plasma was extracted from H spectralline shape [28,29], since Stark effect is the dominant mechanism of line broadening at thepresent conditions. Electron density near the base of the fuel injection jet is inferred to bene = (4.5 1.0) 1015 cm3.

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    0.5

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    distance (mm)

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    ethyleneflow rate, g s1

    ethyleneflow rate, g s1

    scheme 2

    scheme 1

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    1.31.82.33.63.84.14.75.07.2

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    io

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    (a)

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    Figure 5. Normalized wall pressure Pst/P distribution at plasma-assisted combustion. (a) For scheme 1 and scheme 2.Total discharge powerWpl = 912 kW. (b) Scheme 3, total discharge powerWpl = 1618 kW. Numbers in the legend indicateethylene mass flow rate GC2H4 in g s

    1; points labelled flow taken without fuel injection, with the discharge turned off; pointslabelled dis taken without fuel injection, with the discharge turned on. (Online version in colour.)

    (b) Experimental results on plasma-assisted combustion: effect of fuel mass flow rate anddischarge power

    Typical wall pressure distributions are presented in figure 5a for schemes 1 and 2, whenthe electrode system and fuel injectors are not combined into a single module. Thedischarge generation without fuel injection slightly affects the pressure distribution, increasingthe pressure in immediate vicinity of electrode system. When the fuel injection is turnedon, the pressure elevates slightly in zone near (downstream) injector for the first schemeand close to plasma area for the second scheme. This elevation is associated with the fastreactions of fuel partial oxidation by atomic oxygen O. Other branches of reaction are relatedto electronically/vibrationally excited nitrogen (N2) and other active species generated in airplasma.

    In the case of the second scheme, the highly reactive species and radicals, such as H, CH, C2H3,are involved also in the initial fast chemical processes. The products of those fast plasmachemicalreactions are accumulated in associated separation bubble and then are blown down by a core

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    fuel

    flow

    A

    Bflow

    flame front

    expansion angle(a)

    (b)

    Figure 6. Schlieren image illustrating the flow structure in test section. It consists of a pair of images taken through twodifferentwindows during different runs, combined into one. Total length of image is x = 250 mm. Black areas show the contourof combustor walls; point of fuel injection is indicated by a small (red) rectangle. The extent of the wedge-like combustion zonebetween the two windows is interpolated in grey colour. (a) Scheme 1: ethylene injection mass flow rate GC2H4 = 1.3 g s1.(b) Scheme 3: ethylene injection mass flow rate GC2H4 = 3 g s1. (Online version in colour.)

    flow. Main chemical power release occurs after fuel mixing with a core air on the second stageof combustion [12], rather downstream of the place of plasma generation. In figure 5, this zone islocated at X > 120 mm. The schlieren image in figure 6a depicts this zone very well; it is labelledas the flame front. At relatively low plasma power Wpl < 8 kW, the second stage of combustionmay not be realized at all. Two effects are responsible for this: (i) insufficient fuel activation by thedischarge and (ii) insufficient fuelair mixing enhanced by the plasma. Numerical modelling [30],including plasmachemical kinetics and mixing processes, indicates that the second effect maybe dominant.

    At optimal conditions for scheme 2, the zone of intensive chemical reactions moves upstreamand stabilizes near the plasma location. This regime is seen in figure 5a for ethylene mass flow rateGC2H4 = 2.1 g s1. It appears in significant increase of the wall pressure at coordinates betweenx = 30 and x = 40 mm. When the flame front is stabilized (during steady-state flameholding), thecombustion process progresses slowly in the axial direction, owing to gradual mixing of fueland air. Chemical energy release during combustion elevates the pressure and forms a wedge-shape combustion zone, with its average angle increasing as combustion intensifies. The attachedoblique shock-wave angle increases accordingly. It should be noted that this zone is observed atoperation on scheme 1 as well; but the electrical power for this effect to appear has to be ratherhigh, Wpl > 20 kW. If G > 3 g s1, the zone of high-energy release moves down.

    The second series of experiments was performed on ethylene ignition and flameholding bymeans of the electrical discharge collocated to the fuel injection jet, described above as scheme 3[26,31]. The following test parameters have been varied: (i) fuel injection flow rate, within arange of GC2H4 = 18 g s1 and (ii) discharge time-averaged current (i.e. discharge power). Firstof all, it has been determined that ignition and flameholding are observed over a much wider

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    range of parameters compared to previously tested configurations on schemes 1 and 2, both withupstream and downstream location of the electric discharge relative to fuel injection port. Pressuredistributions measured along the test section are plotted in figure 5b versus fuel mass flowrate. At high enough values of discharge power and fuel injection mass flow rate, a significantincrease of wall pressure is observed over a wide range of fuel-flow rates. In lean mixtures,ignition is detected downstream, as far as X > 250 mm from the location of the plasmaairflowfuel injection interaction region (this is not visible in the schlieren images). As the fuel injectionflow rate is increased, the flame front moves forward and gradually occupies the entire combustordownstream of the injector location. Operating at fuel mass flow rate above GC2H4 6 g s1 maylead to thermal choking in this combustor geometry. At higher temperature of air the thermalchoking should be observed with a greater fuel mass flow rate. Increasing the duct expansionangle may resolve this problem.

    Typical schlieren images of flow structure during combustion are shown in figure 6a,b forschemes 1 and 3, correspondingly. In the case of scheme 1, the oblique shock wave, originatingat plasma generator, reflects from the bottom wall and impinges the fuel jet. Another shockwave from the wall ramp impinges the mixing layer of fuel and air that is visible in the secondwindows. In the case of scheme 3, the oblique shock wave, originating at fuel injector andplasma generator, interacts with expansion fan and compression wave generated by the ductexpansion on the bottom wall of the test section (see figure 6b), and then impinges the mixinglayer between the fuel jet and the core flow. Flow separation near the side wall at the PIM locationis evident. An increase of fuel mass flow rate would result in separation bubble moving upstream,thus increasing the oblique shock-wave angle, and eventually leading to thermal choking ofthe duct.

    The other side of electrical discharge effect on combustion is enhancement of airfuel mixing inhigh-speed flows. Two regions of the flow field, labelled as A and B in figure 6b, are of particularinterest. In region A, shock waves caused by the test section wall imperfections and originatingupstream of the field of view interact with the fuel jet with a high density gradient, caused byplasma-induced non-uniform heating. In region B, the shock wave is caused by the wall wedgeand is amplified by a strong shock coming from the PIMs. At the beginning of PIM operation, thisshock impacts the heated near-wall fuel jets, thus enhancing the mixing processes.

    Figure 7 demonstrates a remarkable difference between the performance of the three schemesapplied for plasma-based ignition and flameholding under conditions of low gas temperature,non-premixed composition and low overall ER 1. Scheme 1 exhibits more effective ignitionat low fuel-flow rates, GC2H4 < 2 g s

    1. The last configuration, scheme 3, however, shows muchbetter performance at higher values of the fuel injection, GC2H4 > 2 g s

    1, where scheme 1is limited to partial oxidation with fairly insignificant increase of pressure. To interpret thisdifference, two key factors need to be pointed out: (i) in scheme 1, the discharge was sustainedin air, while in scheme 3 it is sustained in the fuel (inside the injection orifice) as well as in thefuelair mixture and (ii) the flow structure in scheme 3 is significantly different comparing withscheme 1. Specifically, near-surface quasi-DC discharge used in scheme 1 produces a closed flowseparation zone (a separation bubble) downstream of the discharge, with high concentrationsof chemically active species, such as atomic oxygen (O) and electronically/vibrationally excitednitrogen (N2). The fuel, after being injected into this zone, has sufficiently long residence time tomix with plasma-activated air and ignite. After ignition, the volume of this zone increases andforms an extended subsonic flow zone without obvious reattachment downstream. At furtherincrease of fuel injection a local concentration of the fuel in separation zone exceeds the richlimit of ignition. In contrast to this pattern, in scheme 3 the discharge is localized along thefuel injection jet, which generates reactive species and radicals, such as H, CH, C2H3, etc. byelectron impact, and enhances mixing by convecting the unstable plasma filament with theinjection jet. Based on the present results, it appears that plasma filament convection with theflow becomes significant only at sufficiently high fuel injection speed, comparable with the mainairflow velocity.

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    01.0

    1.5

    1 2 3 4 5 6 7fuel mass flow rate (g s1)

    X = 175 mm, scheme 1X = 190 mm, scheme 2X = 180 mm, scheme 3

    X = 40 mm, scheme 1X = 40 mm, scheme 2X = 50 mm, scheme 3

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    (a)

    (b)

    Figure 7. Comparison of pressure data depending on fuel mass flow rate, obtained for the configuration with dischargegeneration upstream of the fuel injector, downstream of the fuel injector, and for collocated scheme. Flow parameters (M= 2,Pst = 150200 Torr) and discharge power (Wpl = 1218 kW) are similar in all cases; axial location X is measured from the fuelinjection cross section. (a) Location of measuring points in proximity of fuel injector x = 4050 mm; (b) in downstream zonex = 175190 mm. (Online version in colour.)

    (c) Data on tunable diode laser absorption spectroscopy measurementsTDLAS measurements were performed in typical operation modes: M = 2, Pst = 150 Torr, plasmapower was Wpl = 1016 kW, ethylene mass flow rate was optimal for each operation scheme:GC2H4 = 1.31.6 g s1 for scheme 1, GC2H4 = 1.82.1 g s1 for scheme 2 and GC2H4 = 22.5 g s1for scheme 3. The data on Z-distribution of gas temperature in cross section x = 130 mm areshown in figure 8. The spectral interval of a single diode laser (DL) scan was about 0.9 cm1.Four absorption lines fall within the interval. Depending on the temperature of the probing zonerelative intensities of the lines vary significantly. The details of data processing algorithm aredescribed in [32] and references therein. Each point in the figure was obtained in an individualrun of the facility. The accuracy of measurements could be estimated in T = 30 K at T > 300 K.Note that the measured temperature is line-averaged on the DL beam pass from wall to wall.In the case of non-homogeneous distribution of gas parameters in reacting zone, a contribution

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    0200

    400av

    erag

    ed te

    mpe

    ratu

    re (

    K)

    600

    800

    25201510Z (mm)

    scheme 1

    TDLAS datafor X = 130 mm

    scheme 2scheme 3

    5

    Figure 8. Static temperature of water vapour distribution cross-flow, measured by TDLAS in cross section x = 130 mm.Comparison of three schemes. Test parameters:M= 2, Pst = 150 Torr, plasma powerWpl = 1016 kW, GC2H4 = 1.32.5 g s1.(Online version in colour.)

    of each individual area is weighted in accordance with water vapour concentration. It makes anestimation of maximal values of gas temperature to be a non-trivial problem.

    The result of measurements indicates substantial difference in maximal value of temperatureand a hot zone thickness depending on applied scheme of plasma-flowfuel interaction. In thecase of upstream plasma generation, the reaction zone is thin in Z direction comparing withschemes 2 and 3. The maximal value of the Y-averaged gas temperature is also much lower inthis case. The distribution patterns are also different. Scheme 3, where plasma collocates with thefuel injection jet, demonstrates the highest amplitude of gas temperature and a rather thick hotzone in Y direction. Qualitatively, similar result was obtained for a water vapour concentrationdistribution measured by TDLAS.

    4. Mixing enhancement experimentsIn this section, a problem of the mixing enhancement is explored owing to a mechanism ofgasdynamic instabilities developing at decay of after-discharge channel. It was mentioned inthe Introduction that such a mechanism is one of several direct and indirect ones that could berealized at interaction of electrical discharge with a high-speed flow. The described mechanismis based on an experimentally proved fact that a strongly turbulent gas motion develops in acooling post-discharge channel [3335]. In experiments with a pulse sub-microsecond filamentarydischarge [3638], it has been shown that there is one more, much faster, mechanism of theafter-spark channel expansion. In such specific mode, the expansion is driven by high-velocityradial jets formed during the after-spark channel cooling. The second important feature ofthe short-pulse long spark is a high selectivity of the discharge localization in medium withgradient concentration of different components [24]. The discharge position is detected right inmixing layer of some pairs of gases involved. Finally, it was demonstrated that the dischargechannel position can be effectively tailored by a little energy beam of a femtosecond laser [39].Recently, the mixing intensification in high-speed flow due to filamentary discharge generationwas experimentally proven by means of analysis of flow disturbances and measurements of localfuel concentration by method of probe breakdown fluorescence [40].

    The triggered pulse discharge is generated by means of the specially designed power supplybased on a Tesla coil with impulse excitation [37,38]. An important feature of the power supplyis the rapid voltage rise, dU/dt > 2 1011 V s1. Tests were performed in ambient conditions andin a high-speed flow at the following parameters: air pressure P = 1 bar at M = 0 and P = 0.20.8bar at M = 20.3; inter-electrode gap d = 3080 mm; discharge main pulse duration = 3080 ns;

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    SW

    DCh

    3 mm

    10 mm 30 mm

    (b)(a) (c)

    Figure 9. Schlieren images of gasdynamic instabilities developed due to pulse discharge generation in ambient air at Umax =90 kV, Imax = 1.5 kA. (a) Time delay t 1s; (b) time delay t = 100s; (c) time delay t = 1 ms. SWposition of shockwave; DChinterface of residual thermal cavity expanded after the electrical discharge. (Online version in colour.)

    maximum voltage Umax = 80120 kV; maximum current Imax = 13 kA; maximum power releaseWmax = 20110 MW; energy deposition in a single-pulse mode Ed = 1.02.7 J. Instrumentationincludes test chamber with variable gas pressure and gas composition, supersonic wind tunnelPWT-50 with a set of sensors, voltage and current probes. A set of schlieren images were acquiredwith spatial resolution of 0.2 mm and a temporal resolution of 0.1 s.

    The discharge duration is rather short compared with the gasdynamic processes occurringafter the pulse. The gas movement after high-energy density deposition appears to be unstableand goes through several stages [36]. On the first stage (t < 50 s), the channel looks quiteclassical: cylindrical thermal cavity and shock wave running away. Note that even in the earlystage small-scale instabilities of the discharge channel were observed (figure 9a). A workinghypothesis of the origin of these perturbations is of an electromagnetic nature due to interactionof high electric current with the azimuthal magnetic field.

    At t = 80150 s the shape of the after-spark channel occurs intensely unstable (figure 9b). Thephysical mechanism of this instability was considered in [38,41]: cooling of the axial zone leadsto the pressure decrease with sequential gas reverse movement. Such a movement is unstableowing to the RayleighTaylor mechanism [34,41]. The estimation of the instability developmenttime t 100 s appears in a good agreement with the experimentally observed value.

    The analysis of experimental data taken in ambient air and in high-speed flow returns a notobvious result concerning the size of disturbed zone: its value is several times bigger than itshould be in accordance with laminar or turbulent diffusion mechanisms [4042]. This happensbecause of generation of intensive lateral jets on the last stage of expansion followed by fastturbulization of the gas in significant volume, comparable to the gap distance, as is shown infigure 9c.

    The fast jet generation on a time scale t = 102103 s is of major importance for a suggestedmechanism of the mixing intensification. The mechanism of jet origination is in strong asymmetryof the discharge shape at long enough plasma filament. At concave sides of the plasma channel,the shock-wave propagation results in strong compression followed by strong rarefaction behindthe shock. At convex sides, the shock wave is diverging, and thus is characterized by smallercompression followed by weaker rarefaction when compared with the concave sides. As a result,a pressure gradient builds up, with pressure decreasing from convex to the opposite concavesides. This causes jet formation outside of the concave regions, with the general direction of jetsfrom concave to convex. Typically, the velocity of gas movement measured in jets decreases fromV 300 m s1 at t = 100 s down to V 100 m s1 at t = 300 s. The processes mentioned aboveare well illustrated in [41,42]. Note that no jets are observed when the peak power is lower than10 MW.

    It was found experimentally that the discharge closely follows a boundary between two gasesin most of the cases at the airfuelplasma interaction (see [35,38] and references therein). This

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    mainflow M = 0.3

    M = 0.3M = 0.3

    secondarygas

    groundedelectrode

    mixing jet

    hotelectrode

    (b)(a)

    (c) (d)

    Figure 10. Experiment on filamentary discharge localization in high-speed airflow: M= 0.3, Pst = 0.8 bar, T0 = 300 K.(a) Experimental scheme. (bd) Schlieren images; (b) CO2 jet in airflow; (c) discharge in airflow; (d) discharge with CO2 jetin airflow. (Online version in colour.)

    effect has been called the effect of specific localization [43]. The explanation of this fact includesthe idea that the discharge localization is managed by the rule of minimal electrical field, requiredfor the discharge maintenance, along the line of breakdown. It can be supposed that the dischargeprefers the path in the fuel, oxidizer or between them depending on conditions and the phase ofdischarge development. If the medium is non-homogeneous, the favoured path may not be theshortest one. Tests and computational analysis of plasma properties in fuelair (C2H4air in thisparticular case) mixtures of various compositions demonstrate [35,42,44] that the best conditionsfor discharge development may be realized in the airfuel mixture but in air or in fuel.

    Special tests were arranged to prove the effect of discharge specific localization in high-speed two-component flow [42]. The experimental approach includes the following key points:supersonic duct-driven airflow M = 0.3 and M = 2.5; direct wall injection of gaseous fuel ormodel gas; and transversal short-pulse repetitive electrical discharge, crossing airfuelair zone.Experimental scheme is shown in figure 10a. Jet of secondary gas was injected from the wallthrough a D = 4 mm orifice with sonic velocity. The grounded electrode was combined with thenozzle. The hot high-voltage electrode was installed on the opposite wall of the duct slightlydownstream in respect of the grounded one. Injected gases were of different density, namely:C2H4 (fuel), CO2 (model of a heavier fuel and product) and He (model of hydrogen).

    Schlieren photos in figure 10bd demonstrate CO2 jet in flow, discharge operation withoutCO2 jet, and the discharge with jet under conditions of subsonic flow (the result in supersonicflow was qualitatively the same). It is clearly seen that discharge breakdown occurs along thejet. Localization of the discharges filament may vary from run to run in the experimental modewithout jet, but it does not vary significantly in different runs with jet injection.

    5. ConclusionMixing, ignition and stabilization of combustion in supersonic flows are the problems of majorfundamental and applied importance in the development of hypersonic vehicles. Utilizationof electrical discharges is the promising approach for the fueloxidizer mixing at direct fuel

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    injection into combustion chamber and for the stabilization of supersonic combustion flame front.Being compared with basic scramjets layout, the scheme with plasma assistance delivers morefreedom in choice of geometric configuration owing to replacement of mechanical flameholderwith a highly effective electrically driven apparatus. The concept of plasma-assisted combustionincludes not only accelerating ignition but also mixing enhancement when operating at non-premixed conditions, and flame stabilization (flameholding).

    The paper discusses the experimental results on plasma-assisted supersonic combustion andflameholding that have been recently obtained at high-speed combustion facility PWT-50H, usingflush-mounted installation of discharge modules. The comparison of previously used schemeswith upstream and downstream generation of plasma in respect of fuel injection place and thenovel scheme of a combined electric discharge/fuel injection module, with the high-voltageelectrode placed inside the fuel injection orifice, is depicted in this work. In the last scheme, calledscheme 3, after breakdown is achieved, the discharge current path follows the fuel injection jetdue to convective entrainment of the plasma by the flow. The axial part of the plasma filament islocalized inside the fuelair mixing layer. The plasma filaments are extended by the fuel injectionflow, penetrate into the main airflow, and terminate far downstream, which is critically importantfor fuelair mixing acceleration. Stable flameholding has been observed over a wide range of fuelinjection mass flow rates. Critical importance of plasma module and combustor geometry, as wellas of key operation parameters such as total discharge power, Wpl > 10 kW, and fuel mass flowrate, GC2H4 > 1 g s

    1, has been demonstrated. Finally, the new scheme demonstrates a significantadvantage in terms of flameholding limits, compared with previously tested configurations.

    The airfuel mixing intensification by a long spark discharge of sub-microsecond durationgenerated in free stream (M = 0.32.5, static pressure P = 100250 Torr, discharge energy approx.1 J pulse1) has been considered as an effective method of mixing intensification in compressibleflow. Experimental results demonstrate generation of turbulent and directed motion in the after-spark channel that can essentially enhance the rate of fuel-gas mixing within a high-speedcombustor. The effect of specific localization of the filamentary discharge in a mixing layer oftwo-component flow is of major importance for an implementation.

    The use of plasma technology may potentially lead to reduction of total pressure losses whenoperating the combustor under non-optimal conditions, enhancement of operation stability and,consequently, expanding the air-breathing corridor of ramjet/scramjet operation range. It is alsoimportant that the present experiments illustrate possible ways for further improvement of thistechnique, including the use of contoured injector orifices for supersonic injection and a powersupply with a modified voltagecurrent characteristic.

    Authors contributions. A.F. performed simulations and the data processing; K.S. prepared and conducted mostexperiments, D.Y. was responsible for measurements and diagnostics and S.L. planned the experiments,processed the data and drafted the manuscript.Competing interests. We declare we have no competing interests.Funding. This work was supported by the AFOSR (contract monitors: Dr Julian Tishkoff and Dr Chipping Li)and the AFORL (contract monitor: Dr Campbell Carter).Acknowledgements. The authors are grateful to Prof. Igor Adamovich (OSU), Dr Michail Shneyder andDr Vladimir Sabelnikov (ONERA) for multiple discussions; to the team of Institute for Spectroscopy RAS,headed by Prof. Mikhail Bolshov, which performed the TDLAS measurements, figure 8 and discussion; toDr Michail Shurupov for valuable assistance in the experiments, figure 9a; to Prof. Anatoly Napartovichand Dr Igor Kochetov for the computational simulations and discussion; and two anonymous reviewers forhelpful comments and corrections.

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    IntroductionExperimental apparatus and diagnosticsIgnition and flameholding experimentNear-surface quasi-DC electrical discharge characterization in high-speed flowExperimental results on plasma-assisted combustion: effect of fuel mass flow rate and discharge powerData on tunable diode laser absorption spectroscopy measurements

    Mixing enhancement experimentsConclusionReferences