Quadrature method of moments for modeling multi-component spray vaporization

International Journal of Multiphase Flow

Volumn 36, Issue 1, 2010, Pages 51-59

  Laurent, Claire ^a   Lavergne, Gerard ^a   Villedieu, Philippe ^a  

^a ONERA   (France)

Author keywords

Droplet; Multi component mixture; Quadrature method of moments; Vaporization

Indexed keywords

CONTINUOUS THERMODYNAMICS; DISCRETE COMPONENTS; DROPLET SURFACES; DROPLET VAPORIZATION; MATHEMATICAL FORMS; MULTI-COMPONENT MIXTURE; MULTICOMPONENTS; NUMBER OF COMPONENTS; NUMERICAL FEATURES; PROBABILITY DENSITY FUNCTION (PDF); QUADRATURE METHOD OF MOMENTS; SPRAY VAPORIZATION; TEST CASE; VAPOR CONDENSATION;

CONDENSATION; DROP FORMATION; PHASE EQUILIBRIA; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; VAPORIZATION; VAPORS;

METHOD OF MOMENTS;

EID: 71649100139     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2009.08.005     Document Type: Article

References (16)

1. Arias-Zugasti M., and Rosner D.E. Multi-component fuel droplet vaporization and combustion using spectral continuous mixture theory. Combust. Flame 135 (2003) 271-284
2. Cotterman R.L., Bender R., and Prausnitz J.M. Phase equilibria for mixtures containing very many components. Development and applications of continuous thermodynamics for chemical process design. Ind. Eng. Chem. Process Des. Dev. 24 (1985) 194-203
3. Curto R.E., and Fialkow L.A. Recursiveness, positivity, and truncated moment problems. Houston J. Math. 17 (1991) 603-635
4. Desjardins O., Fox R.O., and Villedieu P. A quadrature-based moment method for dilute fluid-particle flows. J. Comp. Phys. 227 (2008) 2514-2539
5. Gautschi W. Orthogonal Polynomial - Computation and Approximation (2004), Oxford University Press
6. Gordon R.G. Error bounds in equilibrium statistical mechanics. J. Math. Phys. 9 (1968) 655-663
7. Hallett W.L.H. A simple model for the vaporization of droplets with large numbers of components. Combust. Flame 121 (2000) 334-344
8. Harstadt K.G., Le Clercq P., and Bellan J. Statistical model of multicomponent-fuel drop evaporation for many-droplet liquid-gas flow simulations. AIAA J. 41 (2003) 1858-1874
9. Lage P.L.C. The quadrature method of moments for continuous thermodynamics. Comput. Chem. Eng. 31 (2007) 782-799
10. Laurent C., Lavergne G., and Villedieu P. Continuous thermodynamics for droplet vaporization: comparison between Gamma-PDF model and QMoM. C.R. Mecanique 337 (2009) 449-457
11. Marchisio D.L., and Fox R.O. Solution of population balance equations using the direct quadrature method of moments. J. Aerosol Sci. 36 (2005) 43-73
12. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Sci. Technol. 27 (1997) 255-265
13. Press W.H., and Teukolsky S.A. Orthogonal polynomials and gaussian quadrature with nonclassical weight. Comput. Phys. 4 (1990) 423-426
14. Reid R.C., Prausnitz J.M., and Sherwood T.K. The Properties of Gases and Liquids. Third ed. (1977), McGraw-Hill, New York
15. Shohat J.A., and Tamarkin J.D. The Problem of Moments (1943), Am. Math. Soc., New York
16. Sirignano W.A. Fluid Dynamics and Transport of Droplets and Sprays (1999), Cambridge University Press