Mixing of multiple jets with a confined subsonic crossflow

Abstract This paper summarizes experimental and computational results on the mixing of single, double, and opposed rows of jets with an isothermal or variable temperature mainstream in a confined subsonic crossflow. The studies from which these results came were performed to investigate flow and geometric variations typical of the complex three-dimensional flowfield in the dilution zone of combustion chambers in gas turbine engines. The principal observations from the experiments were that the momentum-flux ratio was the most significant flow variable, and that temperature distributions were similar, independent of orifice diameter, when the orifice spacing and the square-root of the momentum-flux ratio were inversely proportional. The experiments and empirical model for the mixing of a single row of jets from round holes were extended to include several variations typical of gas turbine combustors, namely variable temperature mainstream, flow area convergence, noncircular orifices, and double and opposed rows of jets, both inline and staggered. All except the last of these were appropriately modeled with superposition or patches to the basic empirical model. Combinations of flow and geometry that gave optimum mixing were identified from the experimental and computational results. Based on the results of calculations made with a three-dimensional numerical model, the empirical model was further extended to model the effects of curvature and convergence. The principal conclusions from this study were that the orifice spacing and momentum-flux relationships were the same as observed previously in a straight duct, but the jet structure was significantly different for jets injected from the inner wall of a turn than for those injected from the outer wall. Also, curvature in the axial direction caused a drift of the jet trajectories toward the inner wall, but the mixing in a turning and converging channel did not seem to be inhibited by the convergence, independent of whether the contraction was radial or circumferential. The calculated jet penetration and mixing in an annulus were similar to those in a rectangular duct when the orifice spacing was specified at the radius dividing the annulus into equal areas.

[1]  J. D. Holdeman,et al.  Correlation for temperature profiles in the plane of symmetry downstream of a jet injected normal to a crossflow , 1972 .

[2]  S.-W. Kim,et al.  Calculation of a circular jet in crossflow with a multiple-time-scale turbulence model , 1991 .

[3]  A. Lefebvre Gas Turbine Combustion , 1983 .

[4]  Y. Ben-Haim,et al.  Turbulent Jets in a Confined Crossflow , 1973 .

[5]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[6]  W. W. Bowley,et al.  Prediction of the Trajectory of a Turbulent Jet Injected Into a Crossflowing Stream , 1976 .

[7]  J. D. Holdeman,et al.  Effects of multiple rows and noncircular orifices on dilution jet mixing , 1987 .

[8]  Richard J. Margason,et al.  Fifty Years of Jet in Cross Flow Research , 1993 .

[9]  Mixing characteristics of dilution jets in small gas turbine combustors , 1990 .

[10]  R. P. Weston,et al.  Properties of Aspect-Ratio-4.0 Rectangular Jets in a Subsonic Crossflow , 1978 .

[11]  A. S. Novick,et al.  Development of a Gas Turbine Combustor Dilution Zone Design Analysis , 1980 .

[12]  Ann Karagozian An analytical model for the vorticity associated with a transverse jet , 1986 .

[13]  J. Holdeman,et al.  An Empirical Model of the Effects of Curvature and Convergence on Dilution Jet Mixing , 1988 .

[14]  J. Schetz,et al.  Analysis of Multiple Jets in a Cross-Flow , 1982 .

[15]  J. G. Palfery,et al.  Vortex shedding from a turbulent jet in a cross-wind , 1971, Journal of Fluid Mechanics.

[16]  H. C. Mongia,et al.  Assessment, Development, and Application of Combustor Aerothermal Models , 1988 .

[17]  R. P. Weston,et al.  Round Jet in a Cross Flow: Influence of Injection Angle on Vortex Properties , 1978 .

[18]  A. Jakubowski,et al.  Rectangular jets in a crossflow , 1989 .

[19]  R. Srinivasan,et al.  Modeling of dilution jet flowfields , 1984 .

[20]  R. Breidenthal Turbulent Mixing in Accelerating Jets , 1988 .

[21]  S.-W. Kim,et al.  Fluid-flow of a row of jets in crossflow - A numerical study , 1992 .

[22]  S. Vanka,et al.  Multigrid calculations of a jet in crossflow , 1992 .

[23]  W. S. Lewellen,et al.  On the vorticity dynamics of a turbulent jet in a crossflow , 1986, Journal of Fluid Mechanics.

[24]  T. Shih,et al.  Simulation of mixing in the quick quench region of a rich burn-quick quench mix-lean burn combustor , 1991 .

[25]  P. Vermeulen,et al.  Acoustic Control of Dilution-Air Mixing in a Gas Turbine Combustor , 1982 .

[26]  A. J. R. White The prediction of the flow and heat transfer in the vicinity of a jet in crossflow , 1980 .

[27]  H. Mongia,et al.  Multidimensional gas turbine combustion modeling Applications and limitations , 1986 .

[28]  Ming Chia Lai,et al.  CFD Analysis of Jet Mixing in Low NOx Flametube Combustors , 1991 .

[29]  R. Claus Analytical calculation of a single jet in cross-flow and comparison with experiment , 1983 .

[30]  W. Rodi,et al.  Experimental investigation of jets in a crossflow , 1982, Journal of Fluid Mechanics.

[31]  D. Liscinsky,et al.  Planar imaging of jet mixing in crossflow , 1988 .

[32]  Richard H. Pletcher,et al.  Measurements of the Flow and Turbulence Characteristics of Round Jets in Crossflow , 1989 .

[33]  J. Schetz,et al.  Flow properties of submerged heated effluents in a waterway. , 1972 .

[34]  A. F. Bicen,et al.  Combustion characteristics of a model can-type combustor , 1990 .

[35]  D. Spalding A novel finite difference formulation for differential expressions involving both first and second derivatives , 1972 .

[36]  R. Koch,et al.  Study of NOx emission characteristics in pressurized staged combustor concepts , 1994 .

[37]  J. Whitelaw,et al.  Vector and scalar characteristics of opposing jets discharging normally into a cross-stream , 1980 .

[38]  R. Srinivasan,et al.  Studies of the effects of curvature on dilution jet mixing , 1992 .

[39]  E. Le Grivès Mixing Process Induced by the Vorticity Associated with the Penetration of a Jet into a Cross Flow , 1978 .

[40]  C. Richards,et al.  The role of primary jet injection on mixing in gas turbine combustion , 1991 .

[41]  A. Eroglu Turbulent mixing in accelerating transverse jets , 1990 .

[42]  G. Samuelsen,et al.  Optimization of orifice geometry for crossflow mixing in a cylindrical duct , 1994 .

[43]  H. Chiang,et al.  Entrainment models and their application to jets in a turbulent cross flow , 1985 .

[44]  C. T. Norgren,et al.  Dilution-jet mixing study for gas-turbine combustors , 1968 .

[45]  Yasuhiro Kamotani,et al.  Experiments on a Turbulent Jet in a Cross Flow , 1972 .

[46]  J. Odgers,et al.  Jet mixing as defined by water models , 1975 .

[47]  R. Abgrall,et al.  Numerical simulation of transverse jet flows by a nonreactive two species multidomain Euler flow solver , 1990 .

[48]  R. J. Goldstein,et al.  Interaction of a heated jet with a deflecting stream Summary report , 1970 .

[49]  A. Vakili,et al.  Investigation of the interacting flow of nonsymmetric jets in crossflow , 1986 .

[50]  Z. Moussa,et al.  The near field in the mixing of a round jet with a cross-stream , 1977, Journal of Fluid Mechanics.

[51]  J. A. Schetz,et al.  Numerical Solution of the Three-Dimensional Navier-Stokes Equations With Applications to Channel Flows and a Buoyant Jet in a Cross Flow , 1975 .

[52]  M. Lasky,et al.  A Unified Analysis of Gaseous Jet Penetration , 1971 .

[53]  John L. Lumley,et al.  Injection and Mixing in Turbulent Flow , 1980 .

[54]  Patrick Chassaing,et al.  Physical characteristics of subsonic jets in a cross-stream , 1974, Journal of Fluid Mechanics.

[55]  J. Foss,et al.  Development of a temperature measurement system with application to a jet in a cross flow experiment , 1985 .

[56]  J. D. Holdeman On the mixing of a row of jets with a confined crossflow , 1977 .

[57]  A numerical study of the effects of curvature and convergence on dilution jet mixing , 1987 .

[58]  J. Broadwell,et al.  Structure and mixing of a transverse jet in incompressible flow , 1984, Journal of Fluid Mechanics.

[59]  J. D. Holdeman,et al.  Perspectives on the mixing of a row of jets with a confined crossflow , 1977 .

[60]  S. Stevens,et al.  Experimental studies of combustor dilution zone aerodynamics. II - Jet development , 1990 .

[61]  H. Dwyer,et al.  On the turbulent mixing structure of a cross jet in a cylindrical chamber , 1990 .

[62]  J. Hunt,et al.  The dynamics of the near field of strong jets in crossflows , 1989, Journal of Fluid Mechanics.

[63]  A. Jakubowski,et al.  Experimental study of the interaction of multiple jets with a cross flow , 1985 .

[64]  P. Vermeulen,et al.  Mixing of an acoustically pulsed air jet with a confined crossflow , 1990 .

[65]  J. A. Schetz,et al.  Effects of swirl and high turbulence on a jet in a crossflow , 1989 .

[66]  E. R. G. Eckert,et al.  A model for analysis of the temperature field downstream of a heated jet injected into an isothermal crossflow at an angle of 90 deg , 1971 .

[67]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[68]  R. Breidenthal,et al.  Turbulent mixing in nonsteady jets , 1986 .

[69]  A. Busnaina,et al.  MODELING OF LATERAL JETS INJECTED INTO SWIRLING CROSSFLOW , 1989 .

[70]  J. Whitelaw,et al.  Experimental investigation of opposed jets discharging normally into a cross-stream , 1982, Journal of Fluid Mechanics.

[71]  S. Patankar,et al.  Prediction of the Three-Dimensional Velocity Field of a Deflected Turbulent Jet , 1977 .

[72]  David S. Liscinsky,et al.  Experimental study of cross-stream mixing in a cylindrical duct , 1991 .

[73]  Y. Kamotani,et al.  Experiments on confined turbulent jets in cross flow. , 1973 .

[74]  Lawrence Sirovich,et al.  Eigenfunction analysis of turbulent mixing phenomena , 1991 .

[75]  A. D. Gosman,et al.  Near-field character of a jet discharged through a wall at 30 deg toa mainstream , 1977 .

[76]  A. Roshko,et al.  Structure in the Near Field of the Transverse Jet , 1989 .

[77]  A. O. Demuren,et al.  Modeling jets in cross flow , 1994 .

[78]  R. Srinivasan,et al.  Experiments in dilution jet mixing , 1983 .

[79]  Hot-wire measurements of a single lateral jet injected into swirling crossflow , 1985 .

[80]  B. Noll,et al.  Temperature Profile Development in Turbulent Mixing of Coolant Jets With a Confined Hot Cross Flow , 1983 .

[81]  M. Nikjooy,et al.  Calculation of turbulent three-dimensional jet-induced flow in a rectangular enclosure , 1990 .

[82]  James J. McGuirk,et al.  Investigation of Swirler/Dilution Jet Flow Split on Primary Zone Flow Patterns in a Water Model Can-Type Combustor , 1985 .

[83]  S. D. Heister,et al.  Vortex modeling of gaseous jets in a compressible crossflow , 1988 .

[84]  S. Stevens,et al.  The Influence of Dilution Hole Geometry on Jet Mixing , 1990 .

[85]  N. A. Durando Vortices induced in a jet by a subsonic cross flow , 1971 .

[86]  Stanley K. Widener Improving the development process for main combustor exit temperature distribution , 1989 .

[87]  R. Claus Numerical calculation of subsonic jets in crossflow with reduced numerical diffusion , 1985 .

[88]  G. B. Cox,et al.  Multiple Jet Correlations for Gas Turbine Engine Combustor Design , 1976 .

[89]  F. W. Staub Solids Circulation in Turbulent Fluidized Beds and Heat Transfer to Immersed Tube Banks , 1979 .

[90]  D. B. Spalding,et al.  A computer model for three-dimensional flow in furnaces , 1973 .

[91]  Turbulent mixing in two-dimensional ducts with transverse jets , 1985 .

[92]  P. Vermeulen,et al.  Measurements of Entrainment by Acoustically Pulsed Axisymmetric Air Jets , 1986 .

[93]  R. P. Weston,et al.  Vorticity Associated with a Jet in a Cross Flow , 1974 .

[94]  P. R. Sterland,et al.  An Experimental Study of Multiple Jets Directed Normally to a Cross-Flow: , 1975 .

[95]  J. D. Holdeman,et al.  Jet mixing into a heated cross flow in a cylindrical duct: Influence of geometry and flow variations , 1992 .

[96]  Donald J. Hautman,et al.  Transverse gaseous injection into subsonic air flows , 1991 .

[97]  D. Lilley Lateral jet injection into typical combustor flowfields , 1984 .

[98]  David S. Liscinsky,et al.  Experimental Study of Cross-Stream Mixing in a Rectangular Duct , 1992 .

[99]  J. D. Holderman,et al.  A Parametric Numerical Study of Mixing in a Cylindrical Duct , 1992 .

[100]  C. G. W. Sheppard,et al.  Measurements of Mixing and Species Concentrations Within a Gas Turbine Type Combustor , 1981 .

[101]  M. Heitor,et al.  Velocity, temperature, and species characteristics of the flow in a gas-turbine combustor , 1986 .

[102]  I. Greber,et al.  Turbulent jet patterns in accelerating flows , 1981 .

[103]  P. Chleboun,et al.  A Study of Transverse Turbulent Jets in a Cross Flow , 1982 .

[104]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[105]  Multispark flow visualization of lateral jet injection into a swirling cross flow , 1985 .

[106]  Clifford E. Smith,et al.  Rapid mix concepts for low emission combustors in gas turbine engines , 1990 .

[107]  J. D. Holdeman Perspectives on dilution jet mixing , 1986 .

[108]  J. H. Whitelaw,et al.  A Round Jet Normal to a Crossflow , 1981 .

[109]  D. L. Kors,et al.  Mixing of multiple dilution jets with a hot primary airstream for gas turbine combustors , 1973 .

[110]  S. J. Stevens,et al.  Experimental studies of combustor dilution zone aerodynamics. I - Mean flowfields , 1990 .