User menu

Low-Mach number asymptotics for two-phase flows of granular materials

Bibliographic reference Varsakelis, Christos ; Papalexandris, Miltiadis. Low-Mach number asymptotics for two-phase flows of granular materials. In: Journal of Fluid Mechanics, Vol. 669, p. 472-497 (2011)
Permanent URL
  1. Alazard Thomas, Low Mach Number Limit of the Full Navier-Stokes Equations, 10.1007/s00205-005-0393-2
  2. Baer M.R., Nunziato J.W., A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials, 10.1016/0301-9322(86)90033-9
  3. Bagnold R. A., Experiments on a Gravity-Free Dispersion of Large Solid Spheres in a Newtonian Fluid under Shear, 10.1098/rspa.1954.0186
  4. Chenoweth D. R., Paolucci S., Natural convection in an enclosed vertical air layer with large horizontal temperature differences, 10.1017/s0022112086000587
  5. Cook Andrew W., Riley James J., Direct Numerical Simulation of a Turbulent Reactive Plume on a Parallel Computer, 10.1006/jcph.1996.0249
  6. Drew Donald A., Passman Stephen L., Theory of Multicomponent Fluids, ISBN:9781468492279, 10.1007/b97678
  7. Feireisl Eduard, Novotný Antonín, The Low Mach Number Limit for the Full Navier–Stokes–Fourier System, 10.1007/s00205-007-0066-4
  8. Gallavotti Giovanni, Foundations of Fluid Dynamics, ISBN:9783642074684, 10.1007/978-3-662-04670-8
  9. Goodman M.A., Cowin S.C., A continuum theory for granular materials, 10.1007/bf00284326
  10. de Groot, Non-Equilibrium Thermodynamics (1984)
  11. Herczynski A., Kassoy D. R., Response of a confined gas to volumetric heating in the absence of gravity. I: Slow transients, 10.1063/1.858118
  12. Jenkins J. T., Richman M. W., Boundary conditions for plane flows of smooth, nearly elastic, circular disks, 10.1017/s0022112086001362
  13. Klainerman Sergiu, Majda Andrew, Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, 10.1002/cpa.3160340405
  14. Lebon G., Jou D., Casas-Vázquez J., Understanding Non-equilibrium Thermodynamics, ISBN:9783540742517, 10.1007/978-3-540-74252-4
  15. Le Métayer O, Massoni J, Saurel R, Élaboration des lois d'état d'un liquide et de sa vapeur pour les modèles d'écoulements diphasiques, 10.1016/j.ijthermalsci.2003.09.002
  16. Lessani Bamdad, Papalexandris Miltiadis V., Time-accurate calculation of variable density flows with strong temperature gradients and combustion, 10.1016/
  17. Lessani Bamdad, Papalexandris Miltiadis V., Numerical study of turbulent channel flow with strong temperature gradients, 10.1108/09615530810853727
  18. MAJDA ANDFREW, SETHIAN JAMES, The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion, 10.1080/00102208508960376
  19. Najm Habib N., Wyckoff Peter S., Knio Omar M., A Semi-implicit Numerical Scheme for Reacting Flow, 10.1006/jcph.1997.5856
  20. PAPALEXANDRIS MILTIADIS V., A two-phase model for compressible granular flows based on the theory of irreversible processes, 10.1017/s0022112004000874
  21. Passman Stephen L., Nunziato Jace W., Bailey Paul B., Reed Kenneth W., Shearing motion of a fluid‐saturated granular material, 10.1122/1.549894
  22. Powers Joseph M., Two-phase viscous modeling of compaction of granular materials, 10.1063/1.1764951
  23. Richman M. W., Chou C. S., Boundary effects on granular shear flows of smooth disks, 10.1007/bf00945125
  24. Savage Stuart B., Gravity flow of cohesionless granular materials in chutes and channels, 10.1017/s0022112079000525
  25. Savage S. B., Lun C. K. K., Particle size segregation in inclined chute flow of dry cohesionless granular solids, 10.1017/s002211208800103x
  26. Savage Stuart B., Mckeown Shawn, Shear stresses developed during rapid shear of concentrated suspensions of large spherical particles between concentric cylinders, 10.1017/s0022112083002827
  27. Svendsen Bob, Hutter Kolumban, On the thermodynamics of a mixture of isotropic materials with constraints, 10.1016/0020-7225(95)00044-x
  28. Varsakelis C., Papalexandris M.V., The equilibrium limit of a constitutive model for two-phase granular mixtures and its numerical approximation, 10.1016/
  29. VOLPE G., Performance of compressible flow codes at low Mach numbers, 10.2514/3.11317
  30. Wang Yongqi, Hutter Kolumban, A constitutive model of multiphase mixtures and its application in shearing flows of saturated solid-fluid mixtures, 10.1007/s100350050023
  31. Fang Chung, Wang Yongqi, Hutter Kolumban, A thermo-mechanical continuum theory with internal length for cohesionless granular materials : Part II. Non-equilibrium postulates and numerical simulations of simple shear, plane Poiseuille and gravity driven problems, 10.1007/s00161-006-0008-7