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Volumn 226, Issue 2, 2007, Pages 2229-2249

An arbitrary Lagrangian-Eulerian method for simulating bubble growth in polymer foaming

Author keywords

Capillarity; Film drainage; Finite elements; Free surface problem; Interfacial flows; Moving mesh; Oldroyd B fluids; Viscoelasticity

Indexed keywords

BUBBLES (IN FLUIDS); CAPILLARITY; DIFFUSION IN LIQUIDS; FILM GROWTH; FINITE ELEMENT METHOD; ITERATIVE METHODS; LIQUID FILMS; MESH GENERATION; POLYMER MELTS; STRAIN HARDENING;

EID: 34548691849     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.07.007     Document Type: Article
Times cited : (40)

References (45)
  • 1
    • 0003508268 scopus 로고
    • Klempner D., and Frisch K.C. (Eds), Hanser Publishers, New York
    • In: Klempner D., and Frisch K.C. (Eds). Handbook of Polymeric Foams and Foam Technology (1991), Hanser Publishers, New York
    • (1991) Handbook of Polymeric Foams and Foam Technology
  • 3
    • 13944252620 scopus 로고    scopus 로고
    • Bubble growth mechanism in carbon foams
    • Beechem T., Lafdi K., and Elgafy A. Bubble growth mechanism in carbon foams. Carbon 43 (2005) 1055-1064
    • (2005) Carbon , vol.43 , pp. 1055-1064
    • Beechem, T.1    Lafdi, K.2    Elgafy, A.3
  • 4
    • 33645545482 scopus 로고    scopus 로고
    • Elastic and electric properties of closed-cell aluminum foams: cross-property connection
    • Sevostianov I., Kováčik J., and Simanči{dotless}́k F. Elastic and electric properties of closed-cell aluminum foams: cross-property connection. Mater. Sci. Eng. A 420 (2006) 87-99
    • (2006) Mater. Sci. Eng. A , vol.420 , pp. 87-99
    • Sevostianov, I.1    Kováčik, J.2    Simančík, F.3
  • 5
    • 0033134218 scopus 로고    scopus 로고
    • Shear-induced 'melting' of an aqueous foam
    • Gopal A.D., and Durian D.J. Shear-induced 'melting' of an aqueous foam. J. Colloid Interf. Sci. 213 (1999) 169-178
    • (1999) J. Colloid Interf. Sci. , vol.213 , pp. 169-178
    • Gopal, A.D.1    Durian, D.J.2
  • 6
    • 85190131970 scopus 로고    scopus 로고
    • A.M. Kraynik, D.A. Reinelt, M. Loewenberg, Foam microrheology, in: D. Weaire, J. Banhart (Eds.), Foams and Films, Proceedings of the International Workshop of Foams and Films, Leuven, Belgium, March 1999, pp. 97-104.
  • 8
    • 1642346973 scopus 로고    scopus 로고
    • Prediction of bubble growth and size distribution in polymer foaming based on a new heterogeneous nucleation model
    • Feng J.J., and Bertelo C.A. Prediction of bubble growth and size distribution in polymer foaming based on a new heterogeneous nucleation model. J. Rheol. 48 2 (2004) 439-462
    • (2004) J. Rheol. , vol.48 , Issue.2 , pp. 439-462
    • Feng, J.J.1    Bertelo, C.A.2
  • 9
    • 9944232586 scopus 로고    scopus 로고
    • Experimental observations and modelling relating to foaming and bubble growth frompentane loaded polystyrene melts
    • Tuladhar T.R., and Mackley M.R. Experimental observations and modelling relating to foaming and bubble growth frompentane loaded polystyrene melts. Chem. Eng. Sci. 59 (2004) 5997-6014
    • (2004) Chem. Eng. Sci. , vol.59 , pp. 5997-6014
    • Tuladhar, T.R.1    Mackley, M.R.2
  • 11
    • 33748205871 scopus 로고    scopus 로고
    • Competition and interaction of polydisperse bubbles in polymer foams
    • Everitt S.L., Harlen O.G., and Wilson H.J. Competition and interaction of polydisperse bubbles in polymer foams. J. Non-Newtonian Fluid Mech. 137 (2006) 60-71
    • (2006) J. Non-Newtonian Fluid Mech. , vol.137 , pp. 60-71
    • Everitt, S.L.1    Harlen, O.G.2    Wilson, H.J.3
  • 12
    • 0346207426 scopus 로고    scopus 로고
    • Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
    • Gueyffier D., Li J., Nadim A., Scardovelli R., and Zaleski S. Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 152 (1999) 423-456
    • (1999) J. Comput. Phys. , vol.152 , pp. 423-456
    • Gueyffier, D.1    Li, J.2    Nadim, A.3    Scardovelli, R.4    Zaleski, S.5
  • 13
    • 15944371872 scopus 로고    scopus 로고
    • Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method
    • van Sint Annaland M., Deen N.G., and Kuipers J.A.M. Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method. Chem. Eng. Sci. 60 (2005) 2999-3011
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 2999-3011
    • van Sint Annaland, M.1    Deen, N.G.2    Kuipers, J.A.M.3
  • 14
    • 0031171884 scopus 로고    scopus 로고
    • Axisymmetric free boundary problems
    • Sussman M., and Smereka P. Axisymmetric free boundary problems. J. Fluid Mech. 341 (1997) 269-294
    • (1997) J. Fluid Mech. , vol.341 , pp. 269-294
    • Sussman, M.1    Smereka, P.2
  • 16
    • 0035842847 scopus 로고    scopus 로고
    • sharp-interface method for bubble dynamics and phase change
    • Ye T., Shyy W., Chung J.N., and fixed-grid A. sharp-interface method for bubble dynamics and phase change. J. Comput. Phys. 174 (2001) 781-815
    • (2001) J. Comput. Phys. , vol.174 , pp. 781-815
    • Ye, T.1    Shyy, W.2    Chung, J.N.3    fixed-grid, A.4
  • 17
    • 0000925333 scopus 로고    scopus 로고
    • Computational and experimental analysis of dynamics of drop formation
    • Wilkes E.D., Phillips S.D., and Basaran O.A. Computational and experimental analysis of dynamics of drop formation. Phys. Fluids 11 12 (1999) 3577-3598
    • (1999) Phys. Fluids , vol.11 , Issue.12 , pp. 3577-3598
    • Wilkes, E.D.1    Phillips, S.D.2    Basaran, O.A.3
  • 18
    • 37649028092 scopus 로고    scopus 로고
    • Complex flow around a bubble rising in a non-Newtonian fluid
    • Frank X., and Li H.Z. Complex flow around a bubble rising in a non-Newtonian fluid. Phys. Rev. E 71 (2005) 036309
    • (2005) Phys. Rev. E , vol.71 , pp. 036309
    • Frank, X.1    Li, H.Z.2
  • 19
    • 33748580960 scopus 로고    scopus 로고
    • A lattice Boltzmann model for multiphase flows with large density ratio
    • Zheng H.W., Shu C., and Chew Y.T. A lattice Boltzmann model for multiphase flows with large density ratio. J. Comput. Phys. 218 (2006) 353-371
    • (2006) J. Comput. Phys. , vol.218 , pp. 353-371
    • Zheng, H.W.1    Shu, C.2    Chew, Y.T.3
  • 20
    • 33750324569 scopus 로고    scopus 로고
    • Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
    • Yue P., Zhou C., Feng J.J., Ollivier-Gooch C.F., and Hu H.H. Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing. J. Comput. Phys. 219 (2006) 47-67
    • (2006) J. Comput. Phys. , vol.219 , pp. 47-67
    • Yue, P.1    Zhou, C.2    Feng, J.J.3    Ollivier-Gooch, C.F.4    Hu, H.H.5
  • 21
    • 0032629452 scopus 로고    scopus 로고
    • Rheological behavior of mixtures of polystyrene with Hcfc 142b and HFC 134a
    • Gendron R., Daigneault L.E., and Caron L.M. Rheological behavior of mixtures of polystyrene with Hcfc 142b and HFC 134a. J. Cell. Plastic. 35 (1999) 221-246
    • (1999) J. Cell. Plastic. , vol.35 , pp. 221-246
    • Gendron, R.1    Daigneault, L.E.2    Caron, L.M.3
  • 22
    • 0032007230 scopus 로고    scopus 로고
    • Analysis of diffusion-induced bubble growth in viscoelastic liquids
    • Venerus D.C., Yala N., and Bernstein B. Analysis of diffusion-induced bubble growth in viscoelastic liquids. J. Non-Newtonian Fluid Mech. 75 (1998) 55-75
    • (1998) J. Non-Newtonian Fluid Mech. , vol.75 , pp. 55-75
    • Venerus, D.C.1    Yala, N.2    Bernstein, B.3
  • 23
    • 0141906886 scopus 로고    scopus 로고
    • Bubble dynamics in viscoelastic fluids with application to reacting and non-reacting polymer foams
    • Everitt S.L., Harlen O.G., Wilson H.J., and Read D.J. Bubble dynamics in viscoelastic fluids with application to reacting and non-reacting polymer foams. J. Non-Newtonian Fluid Mech. 114 (2003) 83-107
    • (2003) J. Non-Newtonian Fluid Mech. , vol.114 , pp. 83-107
    • Everitt, S.L.1    Harlen, O.G.2    Wilson, H.J.3    Read, D.J.4
  • 24
  • 25
    • 0032640803 scopus 로고    scopus 로고
    • A non-isothermal model to study the influence of blowing agent concentration on polymer viscosity and gas diffusivity in thermoplastic foam extrusion
    • Ramesh N.S., and Malwitz N. A non-isothermal model to study the influence of blowing agent concentration on polymer viscosity and gas diffusivity in thermoplastic foam extrusion. J. Cell. Plastic. 35 (1999) 199-209
    • (1999) J. Cell. Plastic. , vol.35 , pp. 199-209
    • Ramesh, N.S.1    Malwitz, N.2
  • 26
    • 33645314105 scopus 로고    scopus 로고
    • Plasticization effects on bubble growth during polymer foaming
    • Chen X., Feng J.J., and Bertelo C.A. Plasticization effects on bubble growth during polymer foaming. Polym. Eng. Sci. 46 1 (2006) 97-107
    • (2006) Polym. Eng. Sci. , vol.46 , Issue.1 , pp. 97-107
    • Chen, X.1    Feng, J.J.2    Bertelo, C.A.3
  • 27
    • 0037194273 scopus 로고    scopus 로고
    • Bubble collapse near a solid boundary: a numerical study of the influence of viscosity
    • Popinet S., and Zaleski S. Bubble collapse near a solid boundary: a numerical study of the influence of viscosity. J. Fluid Mech. 464 (2002) 137-163
    • (2002) J. Fluid Mech. , vol.464 , pp. 137-163
    • Popinet, S.1    Zaleski, S.2
  • 28
    • 13644282300 scopus 로고    scopus 로고
    • Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas
    • Caboussat A., Picasso M., and Rappaz J. Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas. J. Comput. Phys. 203 (2005) 626-649
    • (2005) J. Comput. Phys. , vol.203 , pp. 626-649
    • Caboussat, A.1    Picasso, M.2    Rappaz, J.3
  • 29
    • 33747843393 scopus 로고    scopus 로고
    • A numerical method for the simulation of free surface flows with surface tension
    • Caboussat A. A numerical method for the simulation of free surface flows with surface tension. Comput. Fluids 35 (2006) 1205-1216
    • (2006) Comput. Fluids , vol.35 , pp. 1205-1216
    • Caboussat, A.1
  • 30
    • 0000347507 scopus 로고    scopus 로고
    • Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique
    • Hu H.H., Patankar N.A., and Zhu M.Y. Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique. J. Comput. Phys. 169 (2001) 427-462
    • (2001) J. Comput. Phys. , vol.169 , pp. 427-462
    • Hu, H.H.1    Patankar, N.A.2    Zhu, M.Y.3
  • 32
    • 0030111555 scopus 로고    scopus 로고
    • Direct simulation of flows of solid-liquid mixtures
    • Hu H.H. Direct simulation of flows of solid-liquid mixtures. Int. J. Multiphase Flow 22 2 (1996) 335-352
    • (1996) Int. J. Multiphase Flow , vol.22 , Issue.2 , pp. 335-352
    • Hu, H.H.1
  • 33
    • 85190090847 scopus 로고    scopus 로고
    • 2 un logiciel d'edition de maillages et de contours bidimensionnels, Technical Report 0118, INRIA, 1990.
  • 35
    • 0347611279 scopus 로고    scopus 로고
    • Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
    • Udaykumar H.S., Mittal R., and Shyy W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids. J. Comput. Phys. 153 (1999) 535-574
    • (1999) J. Comput. Phys. , vol.153 , pp. 535-574
    • Udaykumar, H.S.1    Mittal, R.2    Shyy, W.3
  • 36
  • 38
    • 0001413156 scopus 로고
    • Spherical cap bubbles and skirt formation
    • Hnat J.G., and Buckmaster J.D. Spherical cap bubbles and skirt formation. Phys. Fluids 19 2 (1976) 182-194
    • (1976) Phys. Fluids , vol.19 , Issue.2 , pp. 182-194
    • Hnat, J.G.1    Buckmaster, J.D.2
  • 39
    • 0021517185 scopus 로고
    • Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid
    • Ryskin G., and Leal L.G. Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148 (1984) 19-35
    • (1984) J. Fluid Mech. , vol.148 , pp. 19-35
    • Ryskin, G.1    Leal, L.G.2
  • 40
    • 13144274682 scopus 로고    scopus 로고
    • A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids
    • Ohta M., Imura T., Yoshida Y., and Sussman M. A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids. Int. J. Multiphase Flow 31 (2005) 223-237
    • (2005) Int. J. Multiphase Flow , vol.31 , pp. 223-237
    • Ohta, M.1    Imura, T.2    Yoshida, Y.3    Sussman, M.4
  • 41
    • 0019581156 scopus 로고
    • Studies on structural foam processing. Part IV: Bubble growth during molding filling
    • Han C.D., and Yoo H.J. Studies on structural foam processing. Part IV: Bubble growth during molding filling. Polym. Eng. Sci. 21 9 (1981) 518-533
    • (1981) Polym. Eng. Sci. , vol.21 , Issue.9 , pp. 518-533
    • Han, C.D.1    Yoo, H.J.2
  • 42
    • 0031191120 scopus 로고    scopus 로고
    • Decay of standing foams: drainage, coalescence and collapse
    • Bhakta A., and Ruckenstein E. Decay of standing foams: drainage, coalescence and collapse. Adv. Colloid Interf. Sci. 70 (1997) 1-124
    • (1997) Adv. Colloid Interf. Sci. , vol.70 , pp. 1-124
    • Bhakta, A.1    Ruckenstein, E.2
  • 43
    • 26844565496 scopus 로고    scopus 로고
    • Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids
    • Yue P., Feng J.J., Liu C., and Shen J. Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids. J. Non-Newtonian Fluid Mech. 129 (2005) 163-176
    • (2005) J. Non-Newtonian Fluid Mech. , vol.129 , pp. 163-176
    • Yue, P.1    Feng, J.J.2    Liu, C.3    Shen, J.4
  • 44
    • 17144437718 scopus 로고    scopus 로고
    • Principal correlation of PVC melt elongational properties with foam cell morphology
    • Sandler J., Wöllecke F., Altstädt V., Wettstein E., and Rakutt D. Principal correlation of PVC melt elongational properties with foam cell morphology. Cellular Polym. 19 (2000) 371-388
    • (2000) Cellular Polym. , vol.19 , pp. 371-388
    • Sandler, J.1    Wöllecke, F.2    Altstädt, V.3    Wettstein, E.4    Rakutt, D.5
  • 45
    • 19744372513 scopus 로고    scopus 로고
    • Influence of surface active substances on bubble motion and collision with various interfaces
    • Malysa K., Krasowska M., and Krzan M. Influence of surface active substances on bubble motion and collision with various interfaces. Adv. Colloid Interf. Sci. 114-115 (2005) 205-225
    • (2005) Adv. Colloid Interf. Sci. , vol.114-115 , pp. 205-225
    • Malysa, K.1    Krasowska, M.2    Krzan, M.3


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