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A CFD study of jet mixing in reduced flow areas for lower combustor emissions PDF

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/,,,u,--7o NASATechnical Memorandum_!044ii ::: /_,,2 _ - AIAA-911=2_460 .... _..................... _.................... _...... ............. .. ,. ...... . , ±.... - :.... 7 .... :2..... ± : =_: -,:_-_:-:2-7:Y _-::-= i ,_--=_-.... _ ° LT: 2_7- L _ ,2_-=i-=_-: i , A CFD__Study of Jet Mixing in Reduced Flow ___e-asfor Lower Combustor Emissions =- C2E. Smith and M.V. Tal_Ilikar CFD Re_search Corporation Huntsville, Alabama - --k: ± -_ L - _L_ :2 - L :L !L and J.D_Holdeman ........................... Lewis Research Center ............. Cleveland, Ohio ' _ _ _ -_ :: _ : .... :_::_::_-i _:: _ _ -_,_ Prepared f6r-ih_- ..... :/-::- ::-7-7 i-:_ ----i-: _7_J , : . " " " 27th Joint Propul_0n Corffe_rence_ ................. cosponsored by the AIAA, SAE, ASME,-and ASEE "" .......... Sacramento, Ca!ifomg j_e.24-27, i99:!-_=]:_:_ ,=. :_ =_2_--___,,=__:=_. : _-- It - z -: = := _ __ .= N91-23185 (NASA-TM-I0441I) A CFD aTUDY OF JET MIXING IN R_DUCED FLnW APEAS FOR LOWER COMBUSTnR . <.g EMISSIONS (NASA) 17 p CSCE 21E Unclas =: : 63/0? 0014928 A CFD STUDY OF JET MIXING IN REDUCED FLOW AREAS FOR LOWER COMBUSTOR EMISSIONS C. E. Smith* M. V. Talpallikar** CFD Research Corporation Huntsville, AL 35805 J. D. Holdeman*** NASA Lewis Research Center Cleveland, OH 44135 Abstract 1. Introduction The Rich-burn/Quick-mlx/Lean-burn (RQL) The design of low NOx combustors isa subject combustor has the potential of significantly of ongoing research at NASA Lewis Research reducing NOx emissions in combustion chambers Center as applied to High Speed Civil Transport of High Speed Civil Transport (HSCT) aircraft. (HSCT) aircraft. One combustor design presently Previous work on RQL combustors for industrial under studyis the Rich-burn/Quick-mix/Lean-burn applications suggested the benefit of "necking (RQL) combustor. Originally conceived and down" the mixing section. In this study, a 3D developed for industrial combustors I-2, the RQL numerical investigation was performed to study the concept utilizes staged burning, as shown in effects of neckdown on NOx emissions and to Figure 1. Combustion isinitiatedinafuel richzone develop a correlation for optimum mixing designs atequivalence ratiosbetween 1.2 and 1.8, thereby interms of neckdown area ratio. The results of the reducing NOx formation by depleting the available study showed that jet mixing inreduced flow areas oxygen. Bypass air is introduced in a quick-mix does not enhance mixing, but does decrease section and lean combustion occurs downstream residence time at high flame temperatures, thus at equivalence ratios between 0.5 and 0.7. A key reducing NOx formation. By necking down the design technology required for the RQL mixing flow area by four, apotential NOx reduction combustor isamethod of rapidly mixingbypass air of sixteen-to-one is possible for annular withrich-bum gases. Rapid and uniform mixingis combustors. However, there is a penalty that required for producing low amounts of NOx while accompanies the mixing neckdown: reduced oxidizingCO produced inthe rich-burnsection. pressure drop across the combustor swirler. At conventional combustor loading parameters, the Generic research on dilution jet mixing ingas pressure drop penalty does not appear to be turbine combustors has been performed in the excessive. past3,and is applicable to RQL combustors. Good * Manager, ApplicationProjects Member AIAA ** Project Engineer Member AIAA *** Senior Research Engineer Member AIAA engineeaingcorrelationswere developedfor inches) was performed to understand the cause of optimummixingofdilutionjetsincan,rectangular NOx reductioninreduced flow area. And finally, a andannulargeometries4.Insearchofimproved 1-D computer code was used to calculate the mixingschemesr,ecentworkhasbeenperformed overall pressure lossofacombustor and toassess on staggered dilution jets in rectangular the penalty ofmixinginaneckdown section. Each geometriess,asymmetrijcetsincangeometrie6s, part ofthe studywill be discussed inthe following andslotsincangeometrie7s. sections. An important aspect of jet mixing that warranted further investigation was the effect of "necking down" the mixing flow area. The mixing Geometry section has been typically necked down in RQL combustors to promote better mixing and prevent A "no neckdown" case was selected as the backflow8-11. In Reference 2 itwas experimentally baseline. The baseline configuration (see Figure shown that neckdown of the mixing section 2) consisted of three components: inlet pipe, produced lower NOx emissions. The experiments converging section, and mixing section. The inlet did not provide the data base to identify why pipe was 6.0 inches (0.152 m) indiameter and 3.0 neckdown produced lower NOx emissions or how inches (0.0762 m) in length. The convergence to optimize NOx reduction. Hence, this study was section connected the inlet pipe to the mixing undertaken to investigate the effects of area section and was 0.866 inches (0.022 m) in length. reduction on NOx formation inthe mixing section, The mixing section had a diameter of six inches and to develop design correlations to optimize (Le. no neckdown_ a_ad twelve equally-spaced mixing inreduced areas. slots located on its perimeter. The slots' centerlines were located one mixing section diameter downstream of the exit plane of the converging section. The aspect ratio of each slot Parametric numerical calculations were was 4-to-1, with the largest dimension of 1.31 performed to quantify potential improvement from inches (0.033 m) positioned in the direction of the neckdown and to understand the physical mainstream. The mixing section extended two mechanisms causing low NOx. Both 3-D CFD mixing section diameters downstream of the jet numerical analysis and 1-D analysis were centerline. employed. The 3-D numerical calculations were made using the CFD code named REFLEQS. Grid REFLEQS has been developed to analyze turbulent reacting flows12, and has undergone a The baseline grid had 20,160 cells (56x20x1 8 considerable amount of systematic quantitative cells in x,r, 0directions). Figure 3 shows two views validation for both incompressible and of the baseline grid. The grid distribution is compressibleflows. Over 30validationcases have non-uniform with greater grid density inthe vicinity been performed to date, and good to excellent of the slot as well as the combustor wall. The agreement between data and predictions has domain in the 0-direction extends from the jet been shown13-14. Further, ithas been shownthat centerline to between the jets. Only a pie section REFLEQS is a viable tool in modelling complex with a central angle of 15" was analyzed to geometries and intricate flow patterns involved in conserve grid points. The grid distribution in each mixingconcepts of lowemissioncombustors5-7. direction is described below. The studywas divided into four parts. First, a baseline mixing configuration was analyzed and assessed for grid independence. Second, the X0 < x < X1 inlet pipe 4 cells uniform baseline configuration was optimized interms of numberofslots. Third,aparametricvariationofthe Xl <x<X2 converging 2cells uniform mixing diameter (from six inches down to four section X2<x<X3 pre-slot 10 cells matched last cell Numerical Details to the 1st cell in the slot The numerical details of the baseline calculation (as well as all calculations in this paper) X3<x <X4 slot 8cells uniform included: X4<x <)(5 post-slot 22 cells matched 1stcell . Wholefield solution of u momentum, v to 1-D to last cell in the momentum, w momentum, pressure slot correction, turbulent kinetic energy (k), turbulence dissipation (¢), total enthalpy, Xs<x <XL 1-Dto exit 10 cells matched 1st cell and mixture fraction. to last cell of previous domain 2. Second order central differencing of convective and diffusive fluxes; Radial Direction 3. Variable fluid properties; Ro< r<RL 20 cells grid refined at the combustor wall 4. Adiabatic walls; with algebraic packing factor of 5. Standard k-_modelwith wallfunctions; 1.4 6. Turbulent Prandtl number of 0.9; Angular Direction . Instantaneous heat-release model and eo<0<el slot 6cells uniform one-step NOx model (details of the reaction models are discussed in 01<O<OL 12 cells matched 1st cell reference 7); and with last cell inthe slot 8. Six chemical species. The values of the grid variables in the different zones discussed above are given inTable 1. Boundary_ Conditions The baseline case had a jet-to-mainstream Table 1. Grid Data momentum flux ratio (J) of 36 and a jet-to-mainstream mass flow ratio of 1.94. Specific boundary conditions are stated below. -0.1744 -0.1490 .0.1236 Mainstream Flow .0.1524 -0.1270 -0.1016 -0.0167 -0.0139 -0,0111 AxialVelocity = 35.4 m/s (116.2 ft/s) unit= Temperature = 2221 "K(3538 "F) 0.0167 0.013g 0.0111 x~m R~rn Density = 1.864 kg/m3 (0.1163 Ibm/ft3) 0.1524 0.1300 0.1016 0 - deg Composition = 0.134 CO, 0.068 CO2, 0.3048 0.2540 0.2032 (massfraction) 0.006 H2, 0.096 H20, 0.696 0.0000 0.0000 0.0000 N2 Turbulent kinetic = 300.0 m2/s2 (3.2x103 0.0762 0.0782 0.0762 energy, k ft2/s 2) 0.0000 0.0000 0.0000 Dissipation of = 5.5x105 m2/s3 3.1400 3.1400 3.1400 turbulent kinetic (5.92xl 06 ft2/s3) energy, 15.0000 15.0000 15.0000 The mass fractions of the species were equilibrium concentrations for propane and air at an equivalence ratio (¢) of 1.6. The turbulent The combustor wall was treated as a no-slip kinetic energy corresponded to a high turbulence adiabatic wall (zero enthalpy gradient). Wall intensity (40%) typically encountered at the exit of functions were used for the calculation of wall combustor primary zones15. However, the solution shear stress and near wall turbulent quantities (k has been shown to be relatively insensitive to inlet and _). turbulent kinetic energy. Centerline JetElow (Slot) The computational boundary at the centerline Radial Velocity = 120.3 m/s (394.6 ft/s) was assumed to be asymmetryplane. Temperature = 811 "K (1000 "F) Density = 5.82 kg/m3 (0.36 Convergence tbrn/ft3) Composition = 0.232 02, 0.768 N2 The summations of all error residuals were (mass fraction) reduced five orders of magnitude, and continuity Turbulent kinetic = 219.0 m2/s2 (2.3x103 was conserved in each axial plane. Typically, energy, k ft2/s2) convergence required approximately 300 Dissipationof iterations. Approximately 6 CPU hours were turbulent kinetic = 1.2x105m2/s3 (1.3x106 required on an Alliant FX/8 mini-supercomputer energy, c ft2/s3) (configured one computational element per job). For comparison, the Alliant computer speeds are The radial velocity corresponded to a liner ~20times slower than aCray X-MP. Ap/p of 0.03. The assumed turbulent kinetic energy gave aturbulence intensity of 10%, typical Besults for Baseline Case of dilution jets15. The calculated isotherm results are presented in Figure 4. Figure 4a shows isotherms inthe x-r plane through the center of the slot (0 = 0). The exit boundary condition was a fixed Although a 15° pie section was numerically pressure boundary with pressure set at 200 psia analyzed, the results in Figure 4are shown as a30° (13.6x10 s N/m2). All other variables (velocity pie sectionfor ease of understanding. The cold jet components, physical properties, turbulence has penetrated to about the center of the mixing variables, species concentrations, etc.) were zero section. Reaction istaking place at the interface of gradient. the two flowstreams as evidenced by isotherms near stoichiometric temperature. At x/D=0.15, Transverse Boundaries Figure 4b shows kidney-shaped isotherms behind the jet. Figure 4c shows the velocity vectors at The transverse boundaries were assumed to x/D=0.5. The velocity vectors show the vortex be symmetry planes. As a check for potential roll-up behind the jet which is atypical feature of a asymmetric and/or periodic flow behavior, the jet incrossfiow. transverse boundaries were moved between slots (doubling the computational grid) and periodicity In Figure 5, NOx emissions are presented in was enforced. No discernible difference was terms of NOx Emission Index (El) as afunction of observed between the two solutions. Hence, to axialdistance. NOx El isderived from the sum of conserve grid points, transverse boundaries were volumefractions of NO and NO2,and expressed as assumed to be symmetric, and positioned on the equivalent gramsof NO2 perkilogram offuel. The jet centerline and between jets. valueofNOx El onediameter downstream ofthe jet centerline (x/D=1.0) is8.14. 4 4. Grid Independence Study developed for circular holed dilutionjet mixing and jet-to-mainstream mass flow ratios (mj/moo) of Two sizes ofgridswere employed to check for approximately 0.5. The accuracy of equation 1for grid independence. The baseline gridwas 20,160 high aspect ratio slots (44o-1) and high mass flow cells and the fine grid was 68,040 cells. The fine ratios (1.94) studied in this investigation is not grid was obtained by increasing the grid density by certain. 50% in each of the three directions and maintaining the same stretching factors. Hence, as a preliminary step to studying flow area reductionon mixing, a parametric study was Computational results for the two grids are performed to determine the optimum number of presented in Figure 6. Quantitatively, they are slots for J=36. The number of slots was nearly the same. However, the fine grid solution parametrically varied from 10to 14on the baseline shows slightly greater jet penetration and less geometry. As the number of slots was varied, the temperature dissipation. central angle of the pie section changed, but the jet-to-mainstream mass flow ratio (mj/m=) was held To estimate numerical error caused by grid constant by varying the slot open area. The slot resolution, the Richardson extrapolation method aspect ratio was maintained at4for allcases. was employed. The Richardson extrapolation method utilizes a Taylor series expansion on the The same number of grid cells was used in all baseline and fine grid solutions to obtain an cases, including the number of grid cells inthe slot. approximate solution based on zero discretization However, since the slot width-to-transverse error. The values of NOx El at x/D=1.0 are 8.14, dimension varied in each case, cell density in the 7.97, and 7.47 for the baseline grid, fine grid and O-directionvaried between cases. This variation is zero error grid, respectively. Based on this finding, thought to have minimal impact on the trends hundreds of thousands of grid cells would be discussed below. required to obtain a grid independent solution. Such finegridswere not practical inthis study. For Figure 7 shows the predicted isotherms in the a comparative study such as this, it was felt the 0=0 plane for different numbers of slots. The jet baseline grid is sufficient in accuracy, and should penetration increased as an inversefunction of the give qualitative engineering answers. number of slots and led to backflow as the number of slots was reduced to 10. From previous 5. Optimization on Number of Slots experience in reference 6, jet backflow on the mixingsection centerline leads to poor mixingand It has been shown in the past 16-19that excessive NOx formation in the combustor. So, temperature distributions are similar when J and further decrease in number of slots below 10 was orifice spacing are coupled. Since the number of not considered necessary for this analysis. ASthe orifices follows from orifice spacing, optimum number of jets was increased to 14, the individual mixing in a can occurs when the following jets did not penetrate to the mixing section expression is satisfied4: centerline. Such underpenetration has been shown to be poor from amixing viewpoint. n = ___.__ (1) C Table 2shows NOx and CO emissions at x/D of 1.0 as a function of number of slots. NOx where emissions decrease with the increase in the n= optimum number of holes number of slots. Going by NOx emissions alone, C = experimentally derived Gonstant~2.5 the 14 slot case would be judged to be the J=jet-to-mainstream momentum flux ratio optimum mixing configuration. However, for the 13 and 14slot cases, CO has gone unreacted on the Using equation 1, the optimum number of centerline of the mixer due to underpenetration of slots would be 10 or 11 depending on the the dilution jets. The 12 slot configuration has the roundoff. However, this correlation was lowest NOx El while exhibiting no CO at x/D--1.0. Basedonthisanalysis,the12slotconfiguration same as the baseline case except the exit was selectedas the optimummixerfor this boundary condition. geometryandtheseflowconditions. Table3. Jet VelocityandTurbulence Data Table2. NOxandCOEmissionsatx/D=1 for VariableNumberofSlots Slots _xx El CO El 120.3 173.2 270.6 iii!iii!i!ii!i!!!!ii!iiiiiii 10.07 0.00 i1_::!__:jii_i_i_ Ii 219.0 454.1 1098.0 ;ii;i!i 8.73 0.00 ::.+::.::+:.::..:;++:;..:;+.;:+.:;+.::++::+:-:+;:+,:+:+:.:+:.:.:.: : 1.2 xl0 s 4.3x10 s 2.0x10 s iiiiiiiiiii!!i ! iii8ii.i1 i 4iii i' o.oo The pressure at the exit plane for the 6 inch +::;--;;).::.:;++::.+:.::++::+.::+.::.+:+:-::,:.:+:.::,:.::.:I.+:::::-: ..,..,.,.....,......,.....,...........,,...... diameter case was set to be 200 psia (13.6 x 105 i!iii!iiii!!!!i i i!!iliiiiiiiiiiiiii 7.37 1.22 N/m2). For the 5 inch and 4 inch neckdown :::::.::;::+:::::::;::,:::::::+:::::::.:::::+:::::::,:::::::+:::::::+:::::::+:::::::,:::::::.:::::+:::::::.:::::::::::::.::::::::::::: diameters, the exit pressure was set at 198.8 psia :::::,:::::+:::::::.:::::+:::::::.:::::.:::::+:::::::.:::::,:::::.:::::.:::::.:::::.:::::.:::::.:::::.:::::.:::::.:::::.:::::.:::::+:::::::.:::: (13.52 x 105 N/m2) and 195.3 psia (13.28 x 105 6.75 5.71 N/m2), respectively. The lower pressures were !i.iiiilil);iiiiii!iiiiiii}i!ii!ii!!iiiil determined by assuming isentropicflow expansion fromthe fiveorfourinchdiameter mixertoa 6inch 6. Parametric Study of Area Reduction diameter exit. This precluded the necessity of modeling a diffuser at the exit of the five or four Using the optimized 12 slot geometry, three inchmixerinthe CFD calculations. neckdown configurations were analyzed to assess the effect o! flow area reduction on NOx emissions. The grid distribution inthe axial and the radial The three mixing section diameters were 6, 5, and direction was identical except for the size of the 4 inches (0.1524, 0.127, and 0.0762 m). As the slot. The grid distributions for the three flow area was reduced, the velocity of the configurations are given inTable 1. mainstream flow in the mixing section increased proportionately to the flow area reduction. The Figure 8 shows the isotherms in the plane resulting reduction in mainstream static pressure in through the jet centerline (0=0) for allthree cases. the mixing section increased the pressure drop Figure 9 shows isotherms at an r-e plane one across the slots, thus increasing the jet velocity. mixing section diameter downstream of the jet inlet For incompressible flow, the increase in (x/D=1.0). In this figure, a full 360° plane is mainstream and jet velocities exactly displayed, although the computations were counterbalanced, and the jet-to-mainstream performed on a 15° pie section. The identical momentum flux ratio (J) remained constant as the nature of the flow patterns shows that the mixing mixing flow area was reduced. characteristics were identical for each case. The slot size was adjusted according to the There was some concern that flow separation variation in diameter of the mixing section to was not predicted at the inlet 1o the four-inch ensure a constant mass flow ratio (mj/m=). The diameter mixing section. To investigate this turbulence parameters at the jet inlet had to be concern, a number of cases were run with fine grid rescaled according to slot size and the jet velocity. in the converging section and immediately The jet velocity and turbulence parameters at the downstream. Cases were run with and without jet inlet for each mixing diameter are given inTable dilution jets. Without dilution jets, flow separation 3. The rest of the boundary conditions were the was predicted for laminar flow, but not for turbulent flow (although a somewhat thick boundary layer was calculated downstream of the contraction). A flow area reduction of 4.0 appears to be However, with dilution jets, the mainstream flow possible in conventional combustor designs (see "sensed" the jet blockage and started accelerating next section for details), giving a potential NOx at the entrance of the mixing section. Hence, flow reduction of 16-to-1 in an annular combustor separation (and a thick boundary layer) was (84o-1 inacan combustor). avoided inthe neckdown mixing sections. 7. 1-D Pressure Loss Analysis In Figure 10, NOx El is plotted as afunction of axial location for the three different neckdown There is apenalty involved inreducing the flow diameters. NOx decreased as the mixing section area of the mixing section. By necking down the diameter decreased. For all the cases, CO was mixing section,atotal pressure drop occurs across completely depleted by x/D of 1.0. The NOx Elfor the mixer, backpressuring the combustor. The the six inch diameter mixing section was 8.14 at backpressure causes a reduced pressure drop x/D of 1.0, while the NOx El for the four inch across the combustor swirler. The reduced swirler diameter mixing section was 2.43, a 3.35-to-1 air pressure drop results in lower atomizing reduction. velocities and worse atomization quality. The formation of NOx is controlled by local To investigate this backpressure effect, a 1-D temperature, local oxygen concentration, and local flow model of a combustor was developed. This residence time. Since mixingwas identicalfor the model was similar to the 1-D model discussed in three mixing diameters analyzed, the local reference 2 that showed good agreement with temperatures and oxygen concentrations must be experimental pressure loss measurements. Figure identical.This left residencetime asthe parameter 11 shows the basic elements of the model, causing reduced NOx levels. Residence time is consisting of 1) primary zone section, 2) reduced in neckdown mixers intwo ways: higher converging section, 3) constant-area mixing velocities andshortermixinglengths. section, and 4) diffuser. The primary zone was six inches in diameter, and the mixing section An engineering correlation was developed to diameter was varied between six and three inches. approximate NOx emissions attainable by reduced flow areas. The correlation (based on residence The hotmainstream gases inthe primary zone time considerations) is expressed below: section were isentropically accelerated into the mixing section. In the mixing section, the 1-D NOxn_.do,, = Aneck_o,,. Hned_down (2) momentum equation was used to solve for static NOxnoned_down Ano neckdown Hno neckdown pressure at the exit of the mixing section. The jet velocity was assumed to enter radially, and where complete (Le. uniform) mixing and reaction was A = flow area assumed. An iterative solution procedure was H = height (diameter in can, duct height in used, in which the inlet pressure of the hot gases annulus) was iterated until a combustor exit pressure of 200 pslawas attained. A comparison of CFD results with equation 2 is shown inTable 4. To better understand the relationship of combustor loading parameter on backpressure Table 4. Neckdown Effect on NOx Emissions penalty, calculations were performed with two _P__2T fro rr_L,;cn'6"w reference velocities: 50 and 100 f/s. The reference velocity is defined as ! i i i iIiiiii1i .i0 iiIi 1iii°i1!iii! ! i Vrel= rh (3) 1.,3i1,,i pA _i_::_iii_i?:_:_i_!_i_i_i_:3:!_!3_is_i_ I 3.38] 7 where effect is caused by increased total pressure loss across the mixing section. rh =total combustor airflow Analysis showed the penalty for neckdown p =combustor inletdensity to be relatively minor for conventional A =area ofthe inlet(6in. diameter) combustor loadingparameters. A combustor reference velocity of 50 f/s 9. Acknowledgements corresponds to conventional combustor design practice. The authors wish to thank NASA Lewis Research Center for funding this work under Figure 12 presents the predictions of swirler NASA Contract NAS3-25967. Our thanksalso are pressure drop versus mixing flow area. For extended to Ms. Kathy W. Rhoades for preparing demonstration purposes, a six percent Ap/p was thistypescript. assumed across the swirler for no mixing neckdown. As the mixingflow area was reduced, 10. Reference_ the pressure drop acrossthe swirierwas reduced. For a combustor reference velocity of 50 f/s, a 1. Mosier, S.A., and Pierce, R.M., "Advanced 4-to-1 flowarea reductionproduced afour percent Combustion Systems for Stationary Gas Ap/p across the swirler. Such a swirler pressure Turbine Engines," Vol. I,EPA Contract 68-02- drop should be acceptable to combustor 2136, 1980. designers. However, for a combustor reference 2. Pierce, R.M., Smith, C.E., and Hinton, B.S., velocity of 100 f/s, it is evident that excessive "Advanced Combustion Systems for backpressure would result, making the three-inch Stationary Gas Turbine Engines," Vol. III, EPA diameter mixingdesignimpractical. Contract 68-02-2136, 1980. 3. Holdeman, J.D., "Summary of NASA- To get confidence in the 1-D model, results Supported Experiments and Modeling of the fromthe 3-D CFD calculationswere compared with Mixing of Multiple Jets with a Confined the 1-D predictions. Figure 13 shows the Crossflow for Controlling Exit Temperature comparison and good agreement between 1-D Profiles in Gas Turbine Combustors," AIAA and 3-D calculations. Paper 91-2458, 1991. 4. Hoideman, J.D., Srinivasan, R., and White, C.D., " An Empirical Model of the Effects of Curvature and Convergence on Dilution Jet The overallconclusionsofthisstudyare" Mixing", AIAA Paper 88-3180 (NASA TM 100896), July 1988. . By reducing residence time at high flame 5. Smith, C.E., "Mixing Characteristics of Dilution temperatures, mixing in a "neckdown" Jets inSmall Gas Turbine Combustors," AIAA- mixing section significantly reduces NOx 90-2728,1990. formation. A design correlation was 6. Talpallikar, M.V., Smith, C.E., and Lai, M.-C., developed for NOx reductionattainableby "Rapid Mix Concepts for Low Emission area reduction,as shown inequation2. Combustors in Gas Turbine Engines," NASA CR-185292, 1990. Area reduction of 4.0 appears to be 7. Talpallikar, M.V., Smith, C.E., Lai, M.-C., and possible in conventional combustor Holdeman, J.D., "CFD Analysis of Jet Mixing designs, giving a potential NOx reduction in Low NOx Flametube Combustors," 36th of 16-to-1 inan annular combustor (8-to-1 ASME International Gas Turbine and inacan combustor). Aeroengine Conference, 1991. 8. Russell, P.L., et aL, "Evaluation of Concepts . The penalty for neckdown manifests itself for Controlling Exhaust Emissions from in reduced pressure drop across the Minimally Processed Petroleum and Synthetic combustor swirler. This backpressure Fuels," ASME Paper 81-GT-157, 1981. 8

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