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Nonmixing layers

Pierre Gaillard

Vincent Giovangigli

Lionel Matuszewski

  • ONERA, Chemin de la Hunière, 91123 Palaiseau France

  • CMAP-CNRS, École Polytechnique, 91128 Palaiseau France and ONERA, Chemin de la Hunière, 91123 Palaiseau France

  • ONERA, Chemin de la Hunière, 91123 Palaiseau France

Phys. Rev. Fluids 1, 084001 – Published 12 December, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.084001

Abstract

We investigate the impact of nonideal diffusion on the structure of supercritical cryogenic binary mixing layers. This situation is typical of liquid fuel injection in high-pressure rocket engines. Nonideal diffusion has a dramatic impact in the neighborhood of chemical thermodynamic stability limits where the components become quasi-immiscible and ultimately form a nonmixing layer. Numerical simulations are performed for mixing layers of H2 and N2 at a pressure of 100 atm and temperature around 120–150 K near chemical thermodynamic stability limits.

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References (52)

  1. M. Habiballah, M. Orain, F. Grisch, L. Vingert, and P. Gicquel, Experimental studies of high pressure cryogenic flames on the MASCOTTE facility, Combust. Sci. Technol. 178, 101 (2006).
  2. S. Candel, M. Juniper, G. Singla, P. Scouflaire, and C. Rolon, Structure and dynamics of cryogenic flames at supercritical pressure, Combust. Sci. Technol. 178, 161 (2006).
  3. B. Chehroudi, D. Talley, and E. Coy, Visual characteristics and initial growth rates of round cryogenic jets at subcritical and supercritical pressures, Phys. Fluids 14, 850 (2002).
  4. N. A. Okong'o and J. Bellan, Direct numerical simulation of a transitional supercritical binary mixing layer: Heptane and nitrogen, J. Fluid Mech. 464, 1 (2002).
  5. G. Ribert, N. Zong, V. Yang, L. Pons, N. Darabiha, and S. Candel, Counterflow diffusion flames of general fluids: Oxygen/hydrogen mixtures, Combust. Flame 154, 319 (2008).
  6. L. Pons, N. Darabiha, S. Candel, G. Ribert, and V. Yang, Mass transfer and combustion in transcritical non-premixed counterflows, Combust. Theory Model. 13, 57 (2009).
  7. V. Giovangigli, L. Matuszewski, and F. Dupoirieux, Detailed modeling of transcritical planar H2O2N2 flames, Combust. Theory Model. 15, 141 (2011).
  8. V. Giovangigli and L. Matuszewski, Numerical simulation of transcritical strained laminar flames, Combust. Flame 159, 2829 (2012).
  9. P. Gaillard, V. Giovangigli, and L. Matuszewski, A transcritical diffuse interface H2/LOX flame model, Combust. Theory Model. 20, 486 (2016).
  10. J. C. Oefelein, Thermophysical characteristics of shear-coaxial LOX-H2 flames at supercritical pressure, Proc. Combust. Inst. 30, 2929 (2005).
  11. J. Bellan, Theory, modeling and analysis of turbulent supercritical mixing, Combust. Sci. Technol. 178, 253 (2006).
  12. T. Schmitt, Y. Méry, M. Boileau, and S. Candel, Large-eddy simulation of oxygen/methane flames under transcritical conditions, Proc. Combust. Inst. 33, 1383 (2011).
  13. L. Onsager, Reciprocal relations in irreversible processes, Phys. Rev. 37, 405 (1931).
  14. C. Eckart, The thermodynamic of irreversible processes, II. Fluid mixtures, Phys. Rev. 58, 269 (1940).
  15. J. Meixner, Zur thermodynamik der thermodiffusion, Ann. Phys. (Leipzig) 431, 333 (1941).
  16. J. Meixner, Zur thermodynamik der irreversiblen prozesse in gasen mit chemisch reagierenden, dissoziierenden und anregbaren komponenten, Ann. Phys. (Leipzig) 435, 244 (1943).
  17. I. Prigogine, Etude Thermodynamique des Phénomènes Irréversibles (Dunod, Paris, 1947).
  18. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1984).
  19. J. H. Irving and J. G. Kirkwood, The statistical mechanics of transport processes. IV. The equations of hydrodynamics, J. Chem. Phys. 18, 817 (1950).
  20. R. J. Bearman and J. G. Kirkwood, The statistical mechanics of transport processes. XI. Equations of transport in multicomponent systems, J. Chem. Phys. 28, 136 (1958).
  21. H. Mori, Statistical-mechanical theory of transport in fluids, Phys. Rev. 112, 1829 (1958).
  22. J. Keizer, Statistical Thermodynamics of Nonequilibrium Processes (Springer, New York, 1987).
  23. L. Bajaras, L. S. Garcia-Colin, and E. Piña, On the Enskog-Thorne theory for a binary mixture of dissimilar rigid spheres, J. Stat. Phys. 7, 161 (1973).
  24. H. Van Beijeren and M. H. Ernst, The modified Enskog equations for mixtures, Physica 70, 225 (1973).
  25. V. I. Kurochkin, S. F. Makarenko, and G. A. Tirskii, Transport coefficients and the Onsager relations in the kinetic theory of dense gas mixtures, J. Appl. Mech. Tech. Phys. 25, 218 (1984).
  26. O. Redlich and J. N. S. Kwong, On the thermodynamics of solutions. V. An equation of state. Fugacities of gaseous solutions, Chem. Rev. 44, 233 (1949).
  27. G. S. Soave, Equilibrium constants from a modified Redlich-Kwong equation of state, Chem. Eng. Sci. 27, 1197 (1972).
  28. V. Giovangigli and L. Matuszewski, Supercritical fluid thermodynamics from equations of state, Physica D 241, 649 (2012).
  29. A. Congiunti, C. Bruno, and E. Giacomazzi, in Proceedings of the 41th Aerospace Sciences Meeting and Exhibit (AIAA, Reston, 2003), paper AIAA-2003-478.
  30. P. Colonna and P. Silva, Dense gas thermodynamic properties of single and multicomponent fluids for fluid dynamics simulations, J. Fluid Eng. 125, 414 (2003).
  31. W. A. Cañas-Marín, U. E. Guerrero-Aconcha, and J. D. Ortiz-Arango, Comparison of different cubic equations of state and combination rules for predicting residual chemical potential of binary and ternary Lennard-Jones mixtures, Fluid Phase Equil. 234, 42 (2005).
  32. W. A. Cañas-Marín, J. D. Ortiz-Arango, U. E. Guerrero-Aconcha, and C. P. Soto-Tavera, Thermodynamic derivative properties and densities for hyperbaric gas condensates: SRK equation of state predictions versus Monte Carlo data, Fluid Phase Equil. 253, 147 (2007).
  33. R. C. Reid, J. M. Prausnitz, and B. E. Poling, The Properties of Gases and Liquids (McGraw-Hill, New York, 1987).
  34. T. T. H. Verschoyle, The ternary system monoxide-nitrogen-hydrogen and the component binary systems between temperatures of 185 degrees and 215 degrees C., and between pressures of 0 and 225 atm, Philos. Trans. R. Soc. London Ser. A 230, 189 (1932).
  35. L. S. Eubanks, Vapor-Liquid Equilibria in the System Hydrogen-Nitrogen-Carbon Monoxide (The Rice Institute, Houston, 1957).
  36. T. H. Chung, M. Ajlan, L. L. Lee, and K. E. Starling, Generalized multiparameter correlation for nonpolar and polar fluid transport properties, Ind. Eng. Chem. Res. 27, 671 (1988).
  37. J. F. Ely and H. J. Hanley, Prediction of transport properties. 2. Thermal conductivity of pure fluids and mixtures, Ind. Eng. Chem. Fund. 22, 90 (1983).
  38. V. Giovangigli, Multicomponent Flow Modeling (Birkhaüser, Boston, 1999).
  39. L. Waldmann, Thermodynamik der Gase, edited by S. Flügge, Handbuch der Physik Vol. 3 (Springer, Berlin, 1958), p. 295.
  40. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases (Cambridge University Press, Cambridge, 1970).
  41. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
  42. A. Ern and V. Giovangigli, Multicomponent Transport Algorithms, Lecture Notes in Physics Monographs, Vol. 24 (Springer, Heidelberg, 1994).
  43. V. Giovangigli and L. Matuszewski, Mathematical modeling of supercritical multicomponent reactive fluids, Math. Mod. Meth. Appl. Sci. 23, 2193 (2013).
  44. L. Ting, On the mixing of two parallel streams, J. Math. Phys. 38, 153 (1959).
  45. C. A. Kennedy and T. B. Gatski, Self-similar supersonic variable density shear layers in binary systems, Phys. Fluids 6, 662 (1994).
  46. M. D. Smooke, Solution of burner stabilized premixed laminar flames by boundary value methods, J. Comput. Phys. 48, 72 (1982).
  47. M. D. Smooke, The computation of laminar flames, Proc. Combust. Inst. 34, 65 (2013).
  48. R. Bendakhlia, V. Giovangigli, and D. Rosner, Soret effects in laminar counterflow spray diffusion flames, Combust. Theory Model. 6, 1 (2002).
  49. V. Giovangigli and N. Darabiha, in Mathematical Modeling in Combustion and Related Topics, edited by C.-M. Brauner and C. Schmidt-Lainé, NATO Advanced Studies Institute, Series E: Applied Sciences (Nijhoff, Dordrecht, 1988), Vol. 140, pp. 491–503.
  50. A. Ern and V. Giovangigli, EGlib server and User's manual, http://www.cmap.polytechnique.fr/www.eglib
  51. L. Matuszewski, Ph.D. thesis, University Paris 6, 2011.
  52. R. Menikoff and B. J. Plohr, The Riemann problem for fluid flow of real materials, Rev. Mod. Phys. 61, 75 (1989).

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