REFERENCES
- Briggs , D. , Ferziger , J. , Koseff , J. , and Monismith , S. ( 1998 ) Turbulent mixing in a shear-free stably stratified two-layer fluid . J. Fluid Mech. , 354 , 175 . [CSA]
- Brown , G. and Roshko , A. ( 1974 ) On density effects and large structure in turbulent mixing layers . J. Fluid Mech. , 64 ( 4 ), 7 . [CSA]
- Chehroudi , B. , Talley , D. , and Coy , E. ( 2002 ) Visual characteristics and initial growth rates of round cryogenic jets at subcritical and supercritical pressures . Phys. Fluids , 14 ( 2 ), 850 . [CSA] [CROSSREF]
- Clifford , T. ( 1999 ) Fundamentals of Supercritical Fluids , Oxford University Press , New York .
- Edwards , T. ( 1993 ) USAF Supercritical hydrocarbon fuel interests . AIAA 93-0807, presented at the 31st Aerospace Sciences Meeting and Exhibit , Reno , NV .
- Edwards , T. and Maurice , L.Q. ( 2001 ) Surrogate mixtures to represent complex aviation and rocket fuels . J. Propul. Power , 17 ( 2 ), 461 . [CSA]
- Fernando , H.J.S. ( 1991 ) Turbulent mixing in stratified fluids . Ann. Rev. Fluid Mech. , 23 , 455 . [CSA] [CROSSREF]
- de Groot , S.R. and Mazur , P. ( 1984 ) Non-Equilibrium Thermodynamics , Dover , New York .
- Hannoun , I. , Fernando , H. , and List , E. ( 1988 ) Turbulence structure near a sharp density interface . J. Fluid Mech. , 189 , 189 . [CSA]
- Harstad , K. and Bellan , J. ( 1998 ) Isolated fluid oxygen drop behavior in fluid hydrogen at rocket chamber pressures . Int. J. Heat Mass Trans. , 41 , 3537 . [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. ( 1999 ) The Lewis number under supercritical conditions . Int. J. Heat Mass Trans. , 42 , 961 . [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. ( 2000 ) An all-pressure fluid drop model applied to a binary mixture: heptane in nitrogen . Int. J. Multiphase Flow , 26 ( 10 ), 1675 . [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. ( 2001a ) Evaluation of commonly used assumptions for isolated and cluster heptane drops in nitrogen at all pressures . Combust. Flame , 127 ( 1–2 ), 1861 . [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. (2001b) The D2 variation for isolated LOX drops and polydisperse clusters in hydrogen at high temperature and pressures. Combust. Flame , 124, 535. [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. ( 2004a ) High-pressure binary mass–diffusion coefficients for combustion applications . Ind. Eng. Chem. Res. , 43 ( 2 ), 645 . [CSA] [CROSSREF]
- Harstad , K. and Bellan , J. ( 2004b ) Mixing rules for multicomponent mixture mass diffusion coefficients and thermal diffusion factors . J. Chem. Phys. , 120 ( 12 ), 5664 . [PUBMED] [INFOTRIEVE] [CSA] [CROSSREF]
- Harstad , K. , Miller , R. , and Bellan , J. ( 1997 ) Efficient high pressure state equations . AIChE J. , 43 ( 6 ), 1605 . [CSA] [CROSSREF]
- Hirshfelder , J. , Curtis , C. , and Bird , R. ( 1964 ) Molecular Theory of Gases and Liquids , John Wiley and Sons , New York .
- Kantha , L.H. , Phillips , O.M. , and Azad , R.S. ( 1977 ) On turbulent entrainment at a stable density interface . J. Fluid Mech. , 79 ( 4 ), 753 . [CSA]
- Keizer , J. ( 1987 ) Statistical Thermodynamics of Nonequilibrium Processes , Springer-Verlag , New York .
- Kennedy , C. and Carpenter , M. ( 1994 ) Several new numerical methods for compressible shear layer simulations . Appl. Numer. Math. , 14 , 397 . [CSA] [CROSSREF]
- Lam , S.H. and Bellan , J. ( 2003 ) On decoupling of Shvab-Zel'dovich variables in the presence of diffusion . Combust. Flame , 132 ( 4 ), 691 . [CSA] [CROSSREF]
- Mayer , W. , Schik , A. , Schweitzer , C. , and Schaffler , M. ( 1996 ) Injection and mixing processes in high pressure LOX/GH2 rocket combustors . AIAA Paper 96–2620 , AIAA/ASME/SAE/ASEE Thirty-Second Joint Propulsion Conference , Lake Buena Vista , FL , July 1–3 .
- Mayer , W.O.H. , Schik , A.H.A. , Vielle , B. , Chauveau , C. , Gökalp , I. , Talley , D.G. , and Woodward , R.D. ( 1998a ) Atomization and breakup of cryogenic propellants under high–pressure subcritical and supercritical conditions . J. Propul. Power , 14 ( 5 ), 835 . [CSA]
- Mayer , W. , Ivancic , B. , Schik , A. , and Hornung , U. ( 1998b ) Propellant atomization in LOX/GH2 rocket combustors . AIAA Paper 98–3685 , AIAA/ASME/SAE/ASEE Thirty-Fourth Joint Propulsion Conference and Exhibit , Cleveland , OH , July 13–15 .
- Miller , R. , Harstad , K. , and Bellan , J. ( 2001 ) Direct numerical simulations of supercritical fluid mixing layers applied to heptane-nitrogen . J. Fluid Mech. , 436 , 1 . [CSA] [CROSSREF]
- Moser , R. and Rogers , M. ( 1991 ) Mixing transition and the cascade to small scales in a plane mixing layer . Phys. Fluids A , 3 ( 5 ), 1128 . [CSA] [CROSSREF]
- Moser , R. and Rogers , M. ( 1993 ) The three-dimensional evolution of a plane mixing layer: Pairing and transition to turbulence . J. Fluid Mech. , 247 , 275 . [CSA]
- Muller , S.M. and Scheerer , D. ( 1991 ) A method to parallelize tridiagonal solvers . Parallel Computing , 17 , 181 . [CSA] [CROSSREF]
- Nomura , H. , Ujiie , Y. , Rath , H.J. , Sato , J. , and Kono , M. (1996) Experimental study on high pressure droplet evaporation using microgravity conditions. Proc. Combust. Instit. , 26, 1267. [CSA]
- Oefelein , J. ( 2005 ) Thermophysical characteristics of shear–coaxial LOX-H2 flames at supercritical pressure . Proc. Combust. Instit. , 30 ( 2 ), 2929 . [CSA] [CROSSREF]
- Oefelein , J. and Yang , V. ( 1998 ) Modeling high–pressured mixing and combustion processes in liquid rocket engines . J. Propul. Power , 14 , 843 . [CSA]
- Okong'o , N. and Bellan , J. ( 2000 ) Entropy production of emerging turbulent scales in a temporal supercritical n-heptane/nitrogen three–dimensional mixing layer . Proc. Combust. Instit. , 28 , 497 . [CSA]
- Okong'o , N. and Bellan , J. ( 2002a ) Consistent boundary conditions for multicomponent real gas mixtures based on characteristic waves . J. Comp. Phys. , 176 ( 2 ), 330 . [CSA] [CROSSREF]
- Okong'o , N. and Bellan , J. ( 2002b ) Direct numerical simulation of a transitional supercritical binary mixing layer: heptane and nitrogen . J. Fluid Mech. , 464 , 1 . [CSA] [CROSSREF]
- Okong'o , N. and Bellan , J. ( 2002c ) Characteristics of supercritical transitional temporal mixing layers . Pollard , A. and Candel , S. ( Eds. ), Proceedings IUTAM Symposium on Turbulent Mixing and Combustion Kingston , Canada , 3–6, 2001 , Kluwer Academic Press , Dordrecht , 59 .
- Okong'o , N. and Bellan , J. ( 2003a ) Real-gas effects on mean flow and temporal stability of binary–species mixing layers . AIAA J. , 41 ( 12 ), 2429 . [CSA]
- Okong'o , N. and Bellan , J. ( 2003b ) Helicity in supercritical temporal mixing layers . AIAA 2003–0481 , presented at the 41st Aerospace Sciences Meeting and Exhibit , Reno , NV .
- Okong'o , N. and Bellan , J. ( 2004a ) Turbulence and fluid–front area production in binary-species, supercritical, transitional mixing layers . Phys. Fluids , 16 ( 5 ), 1467 . [CSA] [CROSSREF]
- Okong'o , N. and Bellan , J. ( 2004b ) Perturbation and initial Reynolds number effects on transition attainment of supercritical mixing layers . Comp. Fluids , 33 ( 8 ), 1023 . [CSA] [CROSSREF]
- Okong'o , N. and Bellan , J. ( 2005 ) The role of dissipation in supercritical mixing layers . In preparation .
- Okong'o , N. , Harstad , K. , and Bellan , J. ( 2002 ) Direct numerical simulations of O2/H2 temporal mixing layers under supercritical conditions . AIAA J. , 40 ( 5 ), 914 . [CSA]
- Oschwald , M. and Schik , A. ( 1999 ) Supercritical nitrogen free jet investigated by spontaneous Raman scattering . Exper. Fluids , 27 , 497 . [CSA] [CROSSREF]
- Papamoschou , D. and Roshko , A. ( 1988 ) The compressible turbulent shear layer: An experimental study . J. Fluid Mech. , 197 , 453 . [CSA]
- Poinsot , T.J. and Lele , S.K. ( 1992 ) Boundary conditions for direct simulations of compressible viscous flows . J. Comp. Phys. , 101 , 104 . [CSA] [CROSSREF]
- Prausnitz , J. , Lichtenthaler , R. , and de Azevedo , E. (1986) Molecular Thermodynamics for Fluid-Phase Equilibrium, Prentice-Hall , Englewood Cliffs , New Jersey.
- Reid , R.C. , Prausnitz , J.M. , and Poling , B.E. ( 1987 ) The Properties of Gases and Liquids , , 4th ed. , McGraw-Hill , New-York .
- Ruetsch , G. and Ferziger , J. ( 1997 ) Effects of small–scale structure on turbulent mixing . Center for Turbulence Research Annual Research Briefs , 213 , Center for Turbulence Research, Stanford University .
- Sarman , S. and Evans , D. ( 1992 ) Heat flux and mass diffusion in binary Lennard-Jones mixtures . Phy. Rev. A , 45 ( 4 ), 2370 . [CSA] [CROSSREF]
- Schumann , U. and Gerz , T. ( 1995 ) Turbulent mixing in a stably stratified shear flow . J. Appl. Meteorology , 34 , 33 . [CSA]
- Turner , J.S. ( 1968 ) The influence of molecular diffusivity on turbulent entrainment across a density interface . J. Fluid Mech. , 33 ( 4 ), 639 . [CSA]
- Vignes , A. ( 1966 ) Diffusion in binary solutions . Ind. Eng. Chem. Fundam. , 5 , 189 . [CSA] [CROSSREF]
- Zong , N. , Meng , H. , Hsieh , S.-Y. , and Yang , V. ( 2004 ) A numerical study of cryogenic fluid injection and mixing under upercritical conditions . Phys. Fluids , 16 ( 12 ), 4248 . [CSA] [CROSSREF]