Modelling of subgrid-scale phenomena in supercritical transitional mixing layers: An a priori study

Journal of Fluid Mechanics

Volumn 593, Issue , 2007, Pages 57-91

  Selle, Laurent C ^a   Okong'o, Nora A ^b   Bellan, Josette ^a,b   Harstad, Kenneth G ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT NUMERICAL SIMULATION; EQUATIONS OF STATE OF GASES; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; VORTEX FLOW;

ATMOSPHERIC-PRESSURE GASEOUS FLOWS; SCALAR-DISSIPATION VISUALIZATIONS; SUBGRID-SCALE (SGS) MODELS;

TURBULENT FLOW;

DIRECT NUMERICAL SIMULATION; EQUATIONS OF STATE OF GASES; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; TURBULENT FLOW; VORTEX FLOW;

GAUSSIAN METHOD; LARGE EDDY SIMULATION; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER;

EID: 36549071587     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008075     Document Type: Article

References (43)

1. BARDINA, J., FERZIGER, J. & REYNOLDS, W. 1980 Improved subgrid scale models for large eddy simulation. AIAA Paper 80-1357.
2. BELLAN, J. 2006 Theory, modeling and analysis of turbulent supercritical mixing. Combust. Sci. Technol. 178, 253-281.
3. CHEHROUDI, B., TALLEY, D. & COY, E. 1999 Initial growth rate and visual characteristics of a round jet into a sub- to supercritical environment of relevance to rocket, gas turbine and diesel engines. AIAA Paper 99-0206.
4. CLARK, R., FERZIGER, J. & REYNOLDS, W. 1979 Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech. 91, 1-16.
5. GONZALES-BAGNOLI, M. G., SHAPIRO, A. A. & STENBY, E. H. 2003 Evaluation of the thermodynamic models for the thermal diffusion factor. Phil. Mag. 83(17-18), 2171-2183.
6. HANNOUN, I. A., FERNANDO, H. J. S. & LIST, E. J. 1988 Turbulence structure near a sharp density interface. J. Fluid Mech. 189 189-209.
7. HARSTAD, K., MILLER, R. S. & BELLAN, J. 1997 Efficient high-pressure state equations. AIChE J. 43(6), 1605-1610.
8. HARSTAD, K. & BELLAN, J. 1998 Isolated fluid oxygen drop behavior in fluid hydrogen at rocket chamber pressures. Intl J. Heat Mass Transfer 41, 3537-3550.
9. HARSTAD, K. & BELLAN, J. 2000 An all-pressure fluid-drop model applied to a binary mixture: Heptane in nitrogen. Intl J. Multiphase Flow 26(10), 1675-1706.
10. 2 variation for isolated LOX drops and polydisperse clusters in hydrogen at high temperature and pressures. Combust. Flame 124(4), 535-550.
11. HIRSHFULDER, J., CURTIS, C. & BIRD, R. 1964 Molecular Theory of Gases and Liquids. John Wiley and Sons.
12. KEIZER, J. 1987 Statistical Thermodynamics of Nonequilibrium Processes. Springer.
13. KENNEDY, C. & CARPENTER, M. 1994 Several new numerical methods for compressible shear layer simulations. Appl. Numer. Maths 14, 397-433.
14. LEBOISSETIER, A., OKONG'O, N. & BELLAN, J. 2005 Consistent large-eddy simulation of a temporal mixing layer laden with evaporating drops. Part 2. A Posteriori modelling. J. Fluid Mech. 523 37-78.
15. LIU, S., MENEVEAU, C. & KATZ, J. 1994 On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. J. Fluid Mech. 275, 83-119.
16. MAYER, W., SCHIK, A., SCHWEITZER, C. & SCHAFFLER, M. 1996 Injection and mixing processes in high pressure LOX/GH2 rocket combustors. AIAA Paper 96-2620.
17. MAYER, W., IVANCIC, B., SCHIK, A. & HORNUNG, U. 1998 Propellant atomization in LOX/GH2 rocket combustors. AIAA Paper 98-3685.
18. MILLER, R., HARSTAD, K. & BELLAN, J. 2001 Direct numerical simulations of supercritical fluid mixing layers applied to heptane-nitrogen. J. Fluid Mech. 436, 1-39.
19. MOSER, R. & ROGERS, M. 1991 Mixing transition and the cascade to small scales in a plane mixing layer. Phys. Fluids A 3(5), 1128-1134.
20. MOSER, R. & ROGERS, M. 1993 The three-dimensional evolution of a plane mixing layer: Pairing and transition to turbulence. J. Fluid Mech. 247, 275-320.
21. MULLER, S. M. & SCHEERER, D. 1991 A method to parallelize tridiagonal solvers. Parallel Computing 17, 181-188.
22. OEFELEIN, J. C. & YANG, V. 1998 Modeling high-pressure mixing and combustion processes in liquid rocket engines. J. Propul. Power 14, 843-857.
23. OEFELEIN, J. C. 2005 Thermophysical characteristics of shear-coaxial LOX-H2 flames at supercritical pressure. Proc. Combust. Inst. 30, 2929-2937.
24. OKONG'O, N. & BELLAN, J. 2002a Direct numerical simulation of a transitional supercritical binary mixing layer: Heptane and nitrogen. J. Fluid Mech. 464, 1-34.
25. OKONG'O, N. & BELLAN, J. 2002b Consistent boundary conditions for multicomponent real gas mixtures based on characteristic waves. J. Comput. Phys. 176, 330-344.
26. OKONG'O, N. & BELLAN, J. 2003 Real gas effects of mean flow and temporal stability of binary-species mixing layers. AIAA J. 41 12), 2429-2443.
27. OKONG'O, N. & BELLAN, J. 2004a Turbulence and fluid-front area production in binary-species, supercritical, transitional mixing layers. Phys. Fluids 16(5), 1467-1492.
28. OKONG'O, N. & BELLAN, J. 2004b Consistent large eddy simulation of a temporal mixing layer laden with evaporating drops. Part 1. Direct numerical simulation, formulation and a priori analysis. J. Fluid Mech. 499, 1-47.
29. 2 temporal mixing layers under supercritical conditions. AIAA J. 40(5), 914-926.
30. OSCHWALD, M. & SCHIK, A. 1999 Supercritical nitrogen free jet investigated by spontaneous Raman scattering. Exps. Fluids 27 497-506.
31. OSCHWALD, M., SCHIK, A. KLAR, M. & MAYER, W. 1999 Investigation of coaxial LN2/GH2-injection at supercritical pressure by spontaneous Raman scattering. AIAA Paper 99-2887.
32. PAPAMOSCHOU, D. & ROSHKO, A. 1988 The compressible turbulent shear layer: An experimental study. J. Fluid Mech. 197, 453-477.
33. PETERS, N. 2000 Turbulent Combustion. Cambridge University Press.
34. POLIKHOV, S. & SEGAL, C. 2007 Subcritical to supercritical jet mixing. AIAA Paper 2007-0569.
35. PRAUSNITZ, J., LICHTENTHALER, R. & DE AZEVEDO, E. 1986 Molecular Thermodynamics for Fluid-Phase Equilibrium. Prentice-Hall.
36. PRUETT, C., SOCHACKI, J. & ADAMS, N. 2001 On Taylor-series expansions of residual stress. Phys. Fluids 13(9), 2578-2589.
37. SELLE, L. C. & BELLAN, J. 2007 Scalar dissipation modeling for passive and active scalars: A priori study using Direct Numerical Simulation. Proc. Comb. Inst. 31, 1665-1673.
38. SMAGORINKSY, J. 1993 Some historical remarks on the use of nonlinear viscosities. In Large Eddy Simulation of Complex Engineering and Geophysical Flows (ed. B. Galperin & S. Orszag), chap. 1, pp. 3-36. Cambridge University Press.
39. SU, L. K. & CLEMENS, N. T. 2003 The structure of fine-scale scalar mixing in gas-phase planar turbulent jets. J. Fluid Mech. 488 1-29.
40. VREMAN, B., GEURTS, B. & KUERTEN, H. 1995 A priori tests of large eddy simulation of the compressible plane mixing layer. J. Engng Maths 29, 299-327.
41. WARHAFT, Z. 2000 Passive scalars in turbulent flows. Annu. Rev. Fluid Mech. 32, 203-240.
42. YOSHIZAWA, A. 1986 Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling. Phys. Fluids 29(7), 2152-2164.
43. ZONG, N., MENG, H., HSIEH, S.-Y. & YANG, V. 2004 A numerical study of cryogenic fluid injection and mixing under supercritical conditions. Phys. Fluids 16(12), 4248-4261.