The local volumetric interfacial area transport equation: derivation and physical significance
Tài liệu tham khảo
Achard, J.L., 1978. Contribution à l’étude théorique des écoulements diphasiques en régime transitoire. Thèse de doctorat ès sciences, Université Scientifique et Médicale and Institut National Polytechnique de Grenoble
Aris, 1962
Candel, 1990, Flame stretch and the balance equation for the flame area, Combust. Sci. Tech., 70, 1, 10.1080/00102209008951608
Coutris, 1993, Balance equations for fluid lines, sheets, filaments and membranes, Int. J. Multiphase Flow, 19, 611, 10.1016/0301-9322(93)90091-8
Delhaye, J.M., 1976. Sur les surfaces volumiques locale et intégrale en écoulement diphasique. C.R. Acad. Sci., Paris, t. 282, Série A, pp. 243–246
Delhaye, 1977, On the use of averaging operators in two-phase flow modeling, 289
Drew, 1990, Evolution of geometric statistics, SIAM J. Applied Mathematics, 50, 649, 10.1137/0150038
Garnier, J., 1998. Private communication
Guido-Lavalle, 1991, Application of the statistical description of two-phase flows to interfacial area assessment, 143
Hulburt, 1964, Some problems in particle technology, a statistical mechanical formulation, Chem. Eng. Science, 19, 555, 10.1016/0009-2509(64)85047-8
Ishii, M., 1975. Thermo-fluid dynamic theory of two-phase flows. Eyrolles, Paris
Kataoka, I., Ishii, M., Serizawa, A., 1984. Local formulation of interfacial area concentration and its measurements in two-phase flow. NUREG/CR-4029, ANL 84-68
Kataoka, I., Ishii, M., Serizawa, A., 1986. Local formulation and measurements of interfacial area concentration. Int. J. Multiphase Flow (12), 505–527
Kataoka, 1994, Sensitivity analysis of bubble size and probe geometry on the measurements of interfacial area concentration in gas–liquid two-phase flow, Nuclear Engineering and Design, 146, 53, 10.1016/0029-5493(94)90320-4
Kim, S., Fu, X.Y., Wang, X., Ishii, M., 1998. The local interfacial area concentration measurement in a two-phase flow using a four-sensor conductivity probe. ANS Winter Meeting
Kocamustafaogullari, 1995, Foundation of the interfacial area transport equation and its closure relations, Int. J. Heat Mass Transfer, 38, 481, 10.1016/0017-9310(94)00183-V
Kojasoy, 1998, Interfacial area, velocity and void fraction in two-phase slug flow
Marle, 1982, On macroscopic equations governing multiphase flows with diffusion and chemical reactions in porous media, Int. J. Eng. Sci., 20, 643, 10.1016/0020-7225(82)90118-5
Millies, 1996, A first order relaxation model for the prediction of the local interfacial area density in two-phase flows, Int. J. Multiphase Flow, 22, 1073, 10.1016/0301-9322(96)00031-6
Morel, C., 1997. Modélisation multidimensionnelle des écoulements diphasiques gaz–liquide. Application à la simulation des écoulements à bulles ascendants en conduite verticale. Thèse de doctorat, Ecole Centrale Paris
Navarro-Valenti, 1991, A contribution to the mathematical modeling of bubbly/slug flow regime transition, Chem. Eng. Comm., 102, 69, 10.1080/00986449108910850
Revankar, 1993, Theory and measurement of local interfacial area using a four-sensor probe in two-phase flow, Int. J. Heat Mass Transfer, 36, 2997, 10.1016/0017-9310(93)90029-6
Tien, 1979, 333