메뉴 건너뛰기




Volumn 56, Issue 2, 1996, Pages 327-357

Kinetic theory for bubbly flow I: Collisionless case

Author keywords

Bubbly flow; Kinetic theory

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BUBBLES (IN FLUIDS); COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL MODELS;

EID: 0030127191     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139993260563     Document Type: Article
Times cited : (51)

References (42)
  • 1
    • 0000637620 scopus 로고
    • Interial coupling in two-phase flow: Macroscopic properties of suspensions in an inviscid fluid
    • G. B. WALLIS, Interial coupling in two-phase flow: Macroscopic properties of suspensions in an inviscid fluid, Multiphase Science and Technology, 5 (1989), pp. 239-261.
    • (1989) Multiphase Science and Technology , vol.5 , pp. 239-261
    • Wallis, G.B.1
  • 2
    • 0026259202 scopus 로고
    • Geurst's stability criterion for concentration waves in bubbly fluids
    • L. VAN WIJNGAARDEN, Geurst's stability criterion for concentration waves in bubbly fluids, Internat. J. Multiphase Flow, 17 (1989), pp. 809-814.
    • (1989) Internat. J. Multiphase Flow , vol.17 , pp. 809-814
    • Van Wijngaarden, L.1
  • 3
    • 0026257629 scopus 로고
    • Virtual mass and impulse of bubble dispersions: Reply to a note by van Wijngaarden
    • J. A. GEURST, Virtual mass and impulse of bubble dispersions: Reply to a note by van Wijngaarden, Internat. J. Multiphase Flow, 17 (1991), pp. 815-821.
    • (1991) Internat. J. Multiphase Flow , vol.17 , pp. 815-821
    • Geurst, J.A.1
  • 4
    • 0021517501 scopus 로고
    • Two phase flow equations for a dilute dispersion of bubbles
    • A. BIESHEUVEL AND L. VAN WIJNGAARDEN, Two phase flow equations for a dilute dispersion of bubbles, J. Fluid Mech., 148 (1984), pp. 301-318.
    • (1984) J. Fluid Mech. , vol.148 , pp. 301-318
    • Biesheuvel, A.1    Van Wijngaarden, L.2
  • 5
    • 6544220743 scopus 로고
    • Overview and Taxonomy of Models and Methods
    • National Bureau of Standards, Gaithersburg, Maryland, September
    • D. A. DREW AND R. T. WOOD, Overview and Taxonomy of Models and Methods, Workshop on Two-Phase Flow Fundamentals, National Bureau of Standards, Gaithersburg, Maryland, September 1985.
    • (1985) Workshop on Two-Phase Flow Fundamentals
    • Drew, D.A.1    Wood, R.T.2
  • 6
    • 0022094554 scopus 로고
    • Phenomenology of interia effects in a dispersed solid-fluid mixture
    • D. LHUILLIER, Phenomenology of interia effects in a dispersed solid-fluid mixture, Internat. J. Multiphase Flow, 11 (1985), pp. 427-444.
    • (1985) Internat. J. Multiphase Flow , vol.11 , pp. 427-444
    • Lhuillier, D.1
  • 7
    • 0000034868 scopus 로고
    • Interphase momentum interaction effects in the averaged multifield model. Part I: Void wave propagation in bubbly flows
    • C. PAUCHON AND S. BANERJEE, Interphase momentum interaction effects in the averaged multifield model. Part I: void wave propagation in bubbly flows, Internat. J. Multiphase Flow, 12 (1986), pp. 559-573.
    • (1986) Internat. J. Multiphase Flow , vol.12 , pp. 559-573
    • Pauchon, C.1    Banerjee, S.2
  • 8
    • 18144436318 scopus 로고
    • O(α)-accurate modeling of the virtual mass effects in a liquid-bubble dispersion
    • P. VAN BEEK, O(α)-accurate modeling of the virtual mass effects in a liquid-bubble dispersion, App. Sci. Res., 38 (1982), pp. 323-330.
    • (1982) App. Sci. Res. , vol.38 , pp. 323-330
    • Van Beek, P.1
  • 9
    • 0000421376 scopus 로고
    • Virtual mass effects in two-phase flow
    • J. A. GEURST, Virtual mass effects in two-phase flow, Physica, 129A (1985), pp. 233-261.
    • (1985) Physica , vol.129 A , pp. 233-261
    • Geurst, J.A.1
  • 10
    • 0026617058 scopus 로고
    • Momentum interactions in dispersed flow: An averaging and a variational approach
    • C. PAUCHON AND P. SMEREKA, Momentum interactions in dispersed flow: An averaging and a variational approach, Internat. J. Multiphase Flow, 18 (1991), pp. 65-00.
    • (1991) Internat. J. Multiphase Flow , vol.18 , pp. 65-100
    • Pauchon, C.1    Smereka, P.2
  • 11
    • 0026404190 scopus 로고
    • Bubbly Flow and its relation to conduction in composites
    • P. SMEREKA AND G. W. MILTON, Bubbly Flow and its relation to conduction in composites, J. Fluid Mech., 233 (1991), pp. 65-87.
    • (1991) J. Fluid Mech. , vol.233 , pp. 65-87
    • Smereka, P.1    Milton, G.W.2
  • 12
    • 0027470871 scopus 로고
    • Dynamic simulations of flows of bubbly liquids at large Reynolds numbers
    • A. S. SANGANI AND A. K. DIDWANIA, Dynamic simulations of flows of bubbly liquids at large Reynolds numbers, J. Fluid Mech., 250 (1993), pp. 307-337.
    • (1993) J. Fluid Mech. , vol.250 , pp. 307-337
    • Sangani, A.S.1    Didwania, A.K.2
  • 13
    • 0027473572 scopus 로고
    • On the dynamics of bubbles in a periodic box
    • P. SMEREKA, On the dynamics of bubbles in a periodic box, J. Fluid Mech., 254 (1993), pp. 79-112.
    • (1993) J. Fluid Mech. , vol.254 , pp. 79-112
    • Smereka, P.1
  • 14
    • 0025403488 scopus 로고
    • Void fraction disturbances in a uniform bubbly liquid
    • A. BIESHEUVEL AND W. C. M. GORISSEN, Void fraction disturbances in a uniform bubbly liquid, Internat. J. Multiphase Flow, 16 (1990), pp. 211-231.
    • (1990) Internat. J. Multiphase Flow , vol.16 , pp. 211-231
    • Biesheuvel, A.1    Gorissen, W.C.M.2
  • 15
    • 0025398452 scopus 로고
    • Concentration waves in dilute bubble/liquid mixtures
    • L. VAN WIJNGAARDEN AND C. KAPTEYN Concentration waves in dilute bubble/liquid mixtures, J. Fluid Mech., 212 (1990), pp. 111-137.
    • (1990) J. Fluid Mech. , vol.212 , pp. 111-137
    • Van Wijngaarden, L.1    Kapteyn, C.2
  • 16
    • 0023744269 scopus 로고
    • A new theory of the instability of a uniform fluidized bed
    • G. K. BATCHELOR, A new theory of the instability of a uniform fluidized bed, J. Fluid Mech. 193 (1988), pp. 75-110.
    • (1988) J. Fluid Mech. , vol.193 , pp. 75-110
    • Batchelor, G.K.1
  • 17
    • 0001779051 scopus 로고
    • On the vibrations of the electronic plasma
    • U.S.S.R.
    • L. LANDAU, On the vibrations of the electronic plasma J. Physics (U.S.S.R.), 10 (1946), pp. 88-94.
    • (1946) J. Physics , vol.10 , pp. 88-94
    • Landau, L.1
  • 18
    • 0027531162 scopus 로고
    • Dispersed phase stress tensor of bubbly liquids at large Reynolds numbers
    • A. S. SANGANI AND A. K. DIDWANIA, Dispersed phase stress tensor of bubbly liquids at large Reynolds numbers, J. Fluid Mech., 248 (1993), pp. 27-54.
    • (1993) J. Fluid Mech. , vol.248 , pp. 27-54
    • Sangani, A.S.1    Didwania, A.K.2
  • 20
    • 0004168443 scopus 로고
    • Cambridge University Press, Cambridge, UK, 1932 Dover edition
    • H. LAMB, Hydrodynamics, 6th ed. Cambridge University Press, Cambridge, UK, 1932 (Dover edition, 1945).
    • (1945) Hydrodynamics, 6th Ed.
    • Lamb, H.1
  • 21
    • 0040905476 scopus 로고
    • On the motion of two spheres in a liquid
    • A. B. BASSET, On the motion of two spheres in a liquid, Proc. London Math. Soc., 18 (1887), pp. 369-381.
    • (1887) Proc. London Math. Soc. , vol.18 , pp. 369-381
    • Basset, A.B.1
  • 22
    • 0027092181 scopus 로고
    • Numerical simulation of the motion of rigid spheres in potential flow
    • H. S. KIM AND A. PROSPERETTI, Numerical simulation of the motion of rigid spheres in potential flow, SIAM J. Appl. Math., 52 (1992), pp. 1533-1562.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1533-1562
    • Kim, H.S.1    Prosperetti, A.2
  • 28
    • 0010322607 scopus 로고
    • An introduction to the nonlinear Boltzmann-Vlasov equation
    • Kinetic Theory and the Boltzmann Equation, Springer-Verlag, New York
    • H. NEUNZERT, An introduction to the nonlinear Boltzmann-Vlasov equation, in Kinetic Theory and the Boltzmann Equation, Lecture Notes in Mathematics 1048, Springer-Verlag, New York, 1984, pp. 60-110.
    • (1984) Lecture Notes in Mathematics , vol.1048 , pp. 60-110
    • Neunzert, H.1
  • 30
    • 4243112132 scopus 로고
    • Kinetic approach to condensation
    • R. L. LIHOFF, Kinetic approach to condensation, Phys. Rev., 131 (1963), pp. 2318-2325.
    • (1963) Phys. Rev. , vol.131 , pp. 2318-2325
    • Lihoff, R.L.1
  • 32
    • 0010896383 scopus 로고
    • Dynamics of point vortex dipoles and spontaneous singularities in three dimensional turbulent flows
    • S. G. CHEFRANOV, Dynamics of point vortex dipoles and spontaneous singularities in three dimensional turbulent flows, Soviet Phys. JETP, 66 (1987), pp. 85-89.
    • (1987) Soviet Phys. JETP , vol.66 , pp. 85-89
    • Chefranov, S.G.1
  • 33
    • 4243121138 scopus 로고
    • Hamiltonian vortex models in the theory of turbulence
    • Y. N. GIUGORYEV AND N. N. YANENKO, Hamiltonian vortex models in the theory of turbulence, Arch. Mech., 34 (1982), pp. 621-631.
    • (1982) Arch. Mech. , vol.34 , pp. 621-631
    • Giugoryev, Y.N.1    Yanenko, N.N.2
  • 34
    • 84956085700 scopus 로고
    • On a new way of writing the Navier-Stokes equation: The Hamiltonian formalism
    • V. I. OSELEDETS, On a new way of writing the Navier-Stokes equation: The Hamiltonian formalism, Russian Math. Surveys, 44 (1989), pp. 210-211.
    • (1989) Russian Math. Surveys , vol.44 , pp. 210-211
    • Oseledets, V.I.1
  • 41
    • 0013348022 scopus 로고
    • Application of the method of spectral deformation to the Vlasov-Poisson system. II. Mathematical results
    • J. D. CRAWFORD AND P. D. HISLOP, Application of the method of spectral deformation to the Vlasov-Poisson system. II. Mathematical results, J. Math. Phys., 30 (1989), pp. 2819-2837.
    • (1989) J. Math. Phys. , vol.30 , pp. 2819-2837
    • Crawford, J.D.1    Hislop, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.