Vortex modeling of gaseous jets in a compressible crossflow

This paper discusses an analytical/numerical model developed to describe the behavior of gaseous jets injected transversely into a subsonic (but compressible) crossflow. The cross section of the jet is modeled as an inviscid, compressible vortex pair, consistent with experimental observations of the transverse jet cross section. The numerically computed behavior of the vortex pair is used as an input to mass and momentum balances along the jet, forming a model that describes the trajectory, entrainment, and mixing of jets injected into subsonic crossflows in the range 0.15 < Mx < 0.8. Theoretical predictions of jet trajectories are compared with limited experimental data, yielding accuracy within 10%. Because very short computational times are required for this model, it could serve as an excellent design tool for perfectly expanded or slightly underexpanded jets in subsonic crossflow. Nomenclature B = constant used in defining jet cross-sectional area d = jet orifice diameter Fy = dimensionless force tending to separate vortices due to compressibility associated with vortex pair Fyp = dimensionless force tending to separate vortices due to

[1]  D. Collins,et al.  Stagnation Temperature and Molecular Weight Effects in Jet Interaction , 1970 .

[2]  H. T.-S. Hsia,et al.  Equivalence of secondary injection to a blunt body in supersonic flow. , 1966 .

[3]  F. S. Billig,et al.  Penetration of gaseous jets injected into a supersonic stream. , 1966 .

[4]  A. Seginer,et al.  Jet penetration height in transonic flow , 1986 .

[5]  E. E. Zukoski,et al.  A Study of the Interaction of Gaseous Jets from Transverse Slots with Supersonic External Flows , 1968 .

[6]  Edward E. Zukoski,et al.  Secondary injection of gases into a supersonic flow , 1964 .

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

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

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

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

[11]  Lee W. Johnson,et al.  Numerical Analysis , 1977 .

[12]  J. A. Nicholls,et al.  On the Structure of Jets from Highly Underexpanded Nozzles Into Still Air , 1958 .

[13]  A. R. Karagozian,et al.  Effects of heat release and flame distortion in the transverse fuel jet , 1988 .

[14]  Edward E. Zukoski,et al.  Further experiments concerning secondary injection of gases into a supersonic flow , 1966 .

[15]  A. Karagozian,et al.  The flame structure and vorticity generated by a chemically reacting transverse jet , 1986 .

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

[17]  D. W. Moore,et al.  The compressible vortex pair , 1987, Journal of Fluid Mechanics.