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Volumn 153, Issue 2-3, 2008, Pages 109-129

A finite volume formulation for simulating drop motion in a viscoelastic two-phase system

Author keywords

Artificial compressibility; Boundary fitted grid; Drop motion; Finite volume method; Flux difference splitting scheme; Free surface boundary; Viscoelastic two phase flow

Indexed keywords

BESSEL FUNCTIONS; BOUNDARY CONDITIONS; CHROMIUM; COMPRESSIBILITY; CONSTITUTIVE EQUATIONS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DROPS; EQUATIONS OF MOTION; FINITE VOLUME METHOD; FISH; FLOW OF FLUIDS; FLUID MECHANICS; GAS DYNAMICS; INCOMPRESSIBLE FLOW; MOMENTUM; NUMERICAL ANALYSIS; NUMERICAL METHODS; PRESSURE; THEOREM PROVING; TWO PHASE FLOW;

EID: 47049084041     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.12.002     Document Type: Article
Times cited : (34)

References (34)
  • 1
    • 0031126297 scopus 로고    scopus 로고
    • Steady axisymmetric motion of deformable drops falling or rising through a homogeneous fluid in a tube at intermediate Reynolds number
    • Bozzi L.A., Feng J.Q., Scott T.C., and Pearlstein A.J. Steady axisymmetric motion of deformable drops falling or rising through a homogeneous fluid in a tube at intermediate Reynolds number. J. Fluid Mech. 336 (1997) 1-32
    • (1997) J. Fluid Mech. , vol.336 , pp. 1-32
    • Bozzi, L.A.1    Feng, J.Q.2    Scott, T.C.3    Pearlstein, A.J.4
  • 2
    • 47049107236 scopus 로고    scopus 로고
    • S.R. Chakravarthy, Relaxation methods for unfactored implicit upwind schemes, AIAA Paper 84-0165, 1984.
    • S.R. Chakravarthy, Relaxation methods for unfactored implicit upwind schemes, AIAA Paper 84-0165, 1984.
  • 3
    • 0034551720 scopus 로고    scopus 로고
    • How accurate is your solution? Error indicators for viscoelastic flow calculations
    • Chauviere C., and Owens R.G. How accurate is your solution? Error indicators for viscoelastic flow calculations. J. Non-Newton. Fluid Mech. 95 (2000) 1-33
    • (2000) J. Non-Newton. Fluid Mech. , vol.95 , pp. 1-33
    • Chauviere, C.1    Owens, R.G.2
  • 4
    • 0024068483 scopus 로고
    • Creeping flow of dilute polymer solutions past cylinders and spheres
    • Chilcott M.D., and Rallison J.M. Creeping flow of dilute polymer solutions past cylinders and spheres. J. Non-Newton. Fluid Mech. 29 (1988) 381-432
    • (1988) J. Non-Newton. Fluid Mech. , vol.29 , pp. 381-432
    • Chilcott, M.D.1    Rallison, J.M.2
  • 5
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • Chorin A. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2 1 (1967) 12-26
    • (1967) J. Comput. Phys. , vol.2 , Issue.1 , pp. 12-26
    • Chorin, A.1
  • 6
    • 28144460688 scopus 로고
    • Discretization of free surface flows and other moving boundary problems
    • Christodoulou K.N., and Scriven L.E. Discretization of free surface flows and other moving boundary problems. J. Comput. Phys. 99 (1992) 39-55
    • (1992) J. Comput. Phys. , vol.99 , pp. 39-55
    • Christodoulou, K.N.1    Scriven, L.E.2
  • 7
    • 0019583042 scopus 로고
    • Wall effect on the bubble behaviour in highly viscous liquids
    • Coutanceau M., and Thizon P. Wall effect on the bubble behaviour in highly viscous liquids. J. Fluid Mech. 107 (1981) 339-373
    • (1981) J. Fluid Mech. , vol.107 , pp. 339-373
    • Coutanceau, M.1    Thizon, P.2
  • 8
    • 0024766058 scopus 로고
    • Buoyancy-driven motion of a deformable drop through a quiescent liquid at intermediate Reynolds numbers
    • Dandy D.S., and Leal G. Buoyancy-driven motion of a deformable drop through a quiescent liquid at intermediate Reynolds numbers. J. Fluid Mech. 208 (1989) 161-192
    • (1989) J. Fluid Mech. , vol.208 , pp. 161-192
    • Dandy, D.S.1    Leal, G.2
  • 9
    • 0037351852 scopus 로고    scopus 로고
    • Limiting behavior of the solutions of a falling sphere in a tube filled with viscoelastic fluids
    • Fan Y. Limiting behavior of the solutions of a falling sphere in a tube filled with viscoelastic fluids. J. Non-Newton. Fluid Mech. 110 (2003) 77-102
    • (2003) J. Non-Newton. Fluid Mech. , vol.110 , pp. 77-102
    • Fan, Y.1
  • 10
    • 0242460530 scopus 로고    scopus 로고
    • Computations of drop dynamics with the immersed boundary method. Parts 1 & 2
    • Francois M., and Shyy W. Computations of drop dynamics with the immersed boundary method. Parts 1 & 2. Numer. Heat Transfer, Part B 44 (2003) 101-143
    • (2003) Numer. Heat Transfer, Part B , vol.44 , pp. 101-143
    • Francois, M.1    Shyy, W.2
  • 12
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow F.H., and Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
    • (1965) Phys. Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 13
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • Hirt C.W., and Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39 (1981) 201-225
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 14
    • 0021817742 scopus 로고
    • Hyperbolicity and change of type in the flow of viscoelastic fluids
    • Joseph D.D., Renardy M., and Saut J.C. Hyperbolicity and change of type in the flow of viscoelastic fluids. Arch. Ration. Mech. Anal. 87 (1985) 213-253
    • (1985) Arch. Ration. Mech. Anal. , vol.87 , pp. 213-253
    • Joseph, D.D.1    Renardy, M.2    Saut, J.C.3
  • 15
    • 0022287934 scopus 로고
    • Change of type and loss of evolution in the flow of viscoelastic fluids
    • Joseph D.D., and Saut J.C. Change of type and loss of evolution in the flow of viscoelastic fluids. J. Non-Newton. Fluid Mech. 20 (1986) 117-141
    • (1986) J. Non-Newton. Fluid Mech. , vol.20 , pp. 117-141
    • Joseph, D.D.1    Saut, J.C.2
  • 16
    • 4544285126 scopus 로고    scopus 로고
    • High-order surface tension VOF-model for 3D bubble flows with high density ratio
    • Lorstad D., and Fuchs L. High-order surface tension VOF-model for 3D bubble flows with high density ratio. J. Comput. Phys. 200 (2004) 153-176
    • (2004) J. Comput. Phys. , vol.200 , pp. 153-176
    • Lorstad, D.1    Fuchs, L.2
  • 17
    • 0027625862 scopus 로고
    • Finite element analysis of steady viscoelastic flow around a sphere in a tube: calculations with constant viscosity models
    • Lunsmann W.J., Genieser L., Armstrong R.C., and Brown R.A. Finite element analysis of steady viscoelastic flow around a sphere in a tube: calculations with constant viscosity models. J. Non-Newton. Fluid Mech. 48 (1993) 63-99
    • (1993) J. Non-Newton. Fluid Mech. , vol.48 , pp. 63-99
    • Lunsmann, W.J.1    Genieser, L.2    Armstrong, R.C.3    Brown, R.A.4
  • 18
    • 47049112787 scopus 로고    scopus 로고
    • R.W. MacCormack, Current status of numerical solutions of the Navier-Stokes equations, AIAA Paper 85-0032, 1985.
    • R.W. MacCormack, Current status of numerical solutions of the Navier-Stokes equations, AIAA Paper 85-0032, 1985.
  • 19
    • 0027396440 scopus 로고
    • Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids
    • Noh D.S., Kang I.S., and Leal L.G. Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids. Phys. Fluids A 5 6 (1993) 1315-1332
    • (1993) Phys. Fluids A , vol.5 , Issue.6 , pp. 1315-1332
    • Noh, D.S.1    Kang, I.S.2    Leal, L.G.3
  • 20
    • 0001086663 scopus 로고
    • On the formulation of rheological equations of state
    • Oldroyd J.G. On the formulation of rheological equations of state. Proc. Roy. Soc. Lond. A 200 (1950) 523-541
    • (1950) Proc. Roy. Soc. Lond. A , vol.200 , pp. 523-541
    • Oldroyd, J.G.1
  • 21
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: algorithms based in Hamilton-Jacobi formulations
    • Osher S., and Sethian J.A. Fronts propagating with curvature dependent speed: algorithms based in Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.A.2
  • 22
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220
    • (1977) J. Comput. Phys. , vol.25 , pp. 220
    • Peskin, C.S.1
  • 23
    • 0035842846 scopus 로고    scopus 로고
    • A level-set method for computing solutions to viscoelastic two-phase flow
    • Pillapakkam S.B., and Singh P. A level-set method for computing solutions to viscoelastic two-phase flow. J. Comput. Phys. 174 (2001) 552-578
    • (2001) J. Comput. Phys. , vol.174 , pp. 552-578
    • Pillapakkam, S.B.1    Singh, P.2
  • 24
    • 2942757053 scopus 로고
    • Approximate riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 25
    • 0025383933 scopus 로고
    • Upwind differencing scheme for the time-accurate imcompressible Navier-Stokes equations
    • Rogers S.E., and Kwak D. Upwind differencing scheme for the time-accurate imcompressible Navier-Stokes equations. AIAA J. 28 2 (1990) 253-261
    • (1990) AIAA J. , vol.28 , Issue.2 , pp. 253-261
    • Rogers, S.E.1    Kwak, D.2
  • 26
    • 0026207564 scopus 로고
    • An upwind differencing scheme for the imcomressible Navier-Stokes equations
    • Rogers S.E., and Kwak D. An upwind differencing scheme for the imcomressible Navier-Stokes equations. Appl. Numer. Math. 8 (1991) 43-64
    • (1991) Appl. Numer. Math. , vol.8 , pp. 43-64
    • Rogers, S.E.1    Kwak, D.2
  • 27
    • 0021521707 scopus 로고
    • Numerical solution of free-boundary problems in fluid mechanics. Parts 1-3
    • Ryskin G., and Leal L.G. Numerical solution of free-boundary problems in fluid mechanics. Parts 1-3. J. Fluid Mech. 148 (1984) 1-43
    • (1984) J. Fluid Mech. , vol.148 , pp. 1-43
    • Ryskin, G.1    Leal, L.G.2
  • 28
    • 0842301411 scopus 로고    scopus 로고
    • Motion and shape of a viscoelastic drop falling through a viscous fluid
    • Sostarecz M., and Belmonte A. Motion and shape of a viscoelastic drop falling through a viscous fluid. J. Fluid Mech. 497 (2003) 235-252
    • (2003) J. Fluid Mech. , vol.497 , pp. 235-252
    • Sostarecz, M.1    Belmonte, A.2
  • 30
    • 0025517168 scopus 로고
    • The effects of surfactants on drop deformation and breakup
    • Stone H.A., and Leal L.G. The effects of surfactants on drop deformation and breakup. J. Fluid Mech. 220 (1990) 161
    • (1990) J. Fluid Mech. , vol.220 , pp. 161
    • Stone, H.A.1    Leal, L.G.2
  • 31
    • 0002458941 scopus 로고    scopus 로고
    • A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
    • Sussman M., and Puckett E.G. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162 (2000) 301-317
    • (2000) J. Comput. Phys. , vol.162 , pp. 301-317
    • Sussman, M.1    Puckett, E.G.2
  • 34
    • 47049086389 scopus 로고    scopus 로고
    • R. You, H. Haj-Hariri, A. Borhan, Confined drop motion in viscoelastic two-phase systems, Phys. Fluids, submitted for publication.
    • R. You, H. Haj-Hariri, A. Borhan, Confined drop motion in viscoelastic two-phase systems, Phys. Fluids, submitted for publication.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.