메뉴 건너뛰기




Volumn 49, Issue 1, 2011, Pages 150-165

A numerical method for two phase flows with insoluble surfactants

Author keywords

Drop deformation; Navier Stokes equations; Shear flows; Surface tension; Surfactants; Two phase flows

Indexed keywords

DIMENSIONAL GRIDS; DISCRETIZATIONS; DROP DEFORMATION; EULERIAN; FLOW PARAMETERS; INSOLUBLE SURFACTANTS; INTERFACIAL SURFACTANTS; MICRO FLUIDIC APPLICATIONS; REGULAR GRIDS; SINGULAR SURFACES; STRANG SPLITTING; SURFACTANT CONCENTRATIONS; TIME DEPENDENT; TIME-STEPPING; TWO-DIMENSION; TWO-DIMENSIONAL FLOW;

EID: 79960891767     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2011.05.008     Document Type: Article
Times cited : (45)

References (40)
  • 1
    • 0036206459 scopus 로고    scopus 로고
    • Accelerated arteriolar gas embolism reabsorption by an exogenous surfactant
    • Branger A., Eckmann D. Accelerated arteriolar gas embolism reabsorption by an exogenous surfactant. Anesthesiology 2002, 96:971-979.
    • (2002) Anesthesiology , vol.96 , pp. 971-979
    • Branger, A.1    Eckmann, D.2
  • 2
    • 33644540831 scopus 로고    scopus 로고
    • A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport
    • Zhang J., Eckmann D., Ayyaswamy P. A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport. J Comput Phys 2006, 214:366-396.
    • (2006) J Comput Phys , vol.214 , pp. 366-396
    • Zhang, J.1    Eckmann, D.2    Ayyaswamy, P.3
  • 3
    • 33846084175 scopus 로고    scopus 로고
    • Microscale tipstreaming in a microfluidic flow focusing device
    • Anna S., Mayer H. Microscale tipstreaming in a microfluidic flow focusing device. Phys Fluids 2006, 18:121512.
    • (2006) Phys Fluids , vol.18 , pp. 121512
    • Anna, S.1    Mayer, H.2
  • 4
    • 79960892528 scopus 로고    scopus 로고
    • <> [last accessed 2010].
    • Held R. <> [last accessed 2010]. http://www.patentstorm.us/patents/5852075/description.html.
    • Held, R.1
  • 6
    • 0032636424 scopus 로고    scopus 로고
    • Insoluble surfactants on a drop in an extensional flow: a generalization of the stagnated surface limit to deforming interfaces
    • Eggleton C., Pawar Y., Stebe K. Insoluble surfactants on a drop in an extensional flow: a generalization of the stagnated surface limit to deforming interfaces. J Fluid Mech 1999, 385:79-99.
    • (1999) J Fluid Mech , vol.385 , pp. 79-99
    • Eggleton, C.1    Pawar, Y.2    Stebe, K.3
  • 7
    • 0029673839 scopus 로고    scopus 로고
    • Marangoni effects on drop deformations in an extensional flow: the role of surfactant physical chemistry. I. Insoluble surfactants
    • Pawar Y., Stebe K. Marangoni effects on drop deformations in an extensional flow: the role of surfactant physical chemistry. I. Insoluble surfactants. Phys Fluids 1996, 8:1738-1751.
    • (1996) Phys Fluids , vol.8 , pp. 1738-1751
    • Pawar, Y.1    Stebe, K.2
  • 8
    • 45449097630 scopus 로고    scopus 로고
    • An immersed boundary method for interfacial flows with insoluble surfactants
    • Lai M., Tseng Y.-H., Huang H. An immersed boundary method for interfacial flows with insoluble surfactants. J Comput Phys 2008, 227:7279-7293.
    • (2008) J Comput Phys , vol.227 , pp. 7279-7293
    • Lai, M.1    Tseng, Y.-H.2    Huang, H.3
  • 9
    • 33646131618 scopus 로고    scopus 로고
    • Numerical investigation of the effect of insoluble surfactants on drop deformation and breakup in simple shear flows
    • Bazhlekov I., Anderson P., Meijer H. Numerical investigation of the effect of insoluble surfactants on drop deformation and breakup in simple shear flows. J Colloid Interf Sci 2006, 298:369-394.
    • (2006) J Colloid Interf Sci , vol.298 , pp. 369-394
    • Bazhlekov, I.1    Anderson, P.2    Meijer, H.3
  • 10
    • 37449028273 scopus 로고    scopus 로고
    • Influence of insoluble surfactant on the deformation and breakup of a bubble or thread in a viscous fluid
    • Hameed M., Siegel M., Young Y.-N., Li J., Booty M., Papageorgiou D. Influence of insoluble surfactant on the deformation and breakup of a bubble or thread in a viscous fluid. J Fluid Mech 2008, 594:307-340.
    • (2008) J Fluid Mech , vol.594 , pp. 307-340
    • Hameed, M.1    Siegel, M.2    Young, Y.-N.3    Li, J.4    Booty, M.5    Papageorgiou, D.6
  • 11
    • 26844436096 scopus 로고    scopus 로고
    • Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flows
    • Lee J., Pozrikidis C. Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flows. Comput Fluids 2006, 35:43-60.
    • (2006) Comput Fluids , vol.35 , pp. 43-60
    • Lee, J.1    Pozrikidis, C.2
  • 12
    • 0032212524 scopus 로고    scopus 로고
    • A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop
    • Yon S., Pozrikidis C. A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop. Comput Fluids 1998, 27:879-902.
    • (1998) Comput Fluids , vol.27 , pp. 879-902
    • Yon, S.1    Pozrikidis, C.2
  • 13
    • 0037429531 scopus 로고    scopus 로고
    • Transport and diffusion of material quantities on propagating interfaces via level set methods
    • Adalsteinsson D., Sethian J. Transport and diffusion of material quantities on propagating interfaces via level set methods. J Comput Phys 2003, 185:271-288.
    • (2003) J Comput Phys , vol.185 , pp. 271-288
    • Adalsteinsson, D.1    Sethian, J.2
  • 14
    • 0346640322 scopus 로고    scopus 로고
    • An Eulerian formulation for solving partial differential equations along a moving interfaces
    • Xu J.-J., Zhao H.-K. An Eulerian formulation for solving partial differential equations along a moving interfaces. J Sci Comput 2003, 19:573-594.
    • (2003) J Sci Comput , vol.19 , pp. 573-594
    • Xu, J.-J.1    Zhao, H.-K.2
  • 15
    • 29144444774 scopus 로고    scopus 로고
    • A level-set method for interfacial flows with surfactant
    • Xu J.-J., Li Z., Lowengrub J., Zhao H. A level-set method for interfacial flows with surfactant. J Comput Phys 2006, 212:590-616.
    • (2006) J Comput Phys , vol.212 , pp. 590-616
    • Xu, J.-J.1    Li, Z.2    Lowengrub, J.3    Zhao, H.4
  • 16
    • 0942278123 scopus 로고    scopus 로고
    • The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertia
    • Drumright-Clarke M., Renardy Y. The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertia. Phys Fluids 2004, 16:14-21.
    • (2004) Phys Fluids , vol.16 , pp. 14-21
    • Drumright-Clarke, M.1    Renardy, Y.2
  • 17
    • 8744235083 scopus 로고    scopus 로고
    • A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactants
    • James A., Lowengrub J. A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactants. J Comput Phys 2004, 201:685-722.
    • (2004) J Comput Phys , vol.201 , pp. 685-722
    • James, A.1    Lowengrub, J.2
  • 18
    • 0036179087 scopus 로고    scopus 로고
    • A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio
    • Renardy Y., Renardy M., Cristini V. A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at a low viscosity ratio. Eur J Mech B - Fluid 2002, 21:49-59.
    • (2002) Eur J Mech B - Fluid , vol.21 , pp. 49-59
    • Renardy, Y.1    Renardy, M.2    Cristini, V.3
  • 19
    • 52749094408 scopus 로고    scopus 로고
    • Second-order accurate normals from height functions
    • Ferdowsi P.A., Bussmann M. Second-order accurate normals from height functions. J Comput Phys 2008, 227:9293-9302.
    • (2008) J Comput Phys , vol.227 , pp. 9293-9302
    • Ferdowsi, P.A.1    Bussmann, M.2
  • 20
    • 0037211311 scopus 로고    scopus 로고
    • The segment projection method for interface tracking
    • Tornberg A.-K., Engquist B. The segment projection method for interface tracking. Commun Pure Appl Math 2003, 56:47-79.
    • (2003) Commun Pure Appl Math , vol.56 , pp. 47-79
    • Tornberg, A.-K.1    Engquist, B.2
  • 21
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A. Numerical solution of the Navier-Stokes equations. Math Comput 1968, 22:745-762.
    • (1968) Math Comput , vol.22 , pp. 745-762
    • Chorin, A.1
  • 22
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C. The immersed boundary method. Acta Numerica 2002, 11:479-517.
    • (2002) Acta Numerica , vol.11 , pp. 479-517
    • Peskin, C.1
  • 23
    • 79960893872 scopus 로고    scopus 로고
    • A numerical method for two phase flows with insoluble and soluble surfactants. PhD thesis, Courant Institute of Mathematical Sciences, New York University; 2009.
    • Khatri S. A numerical method for two phase flows with insoluble and soluble surfactants. PhD thesis, Courant Institute of Mathematical Sciences, New York University; 2009.
    • Khatri, S.1
  • 25
    • 36549104052 scopus 로고
    • A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface
    • Stone H. A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface. Phys Fluids A - Fluid 1990, 2:111-112.
    • (1990) Phys Fluids A - Fluid , vol.2 , pp. 111-112
    • Stone, H.1
  • 26
    • 7244250225 scopus 로고    scopus 로고
    • Numerical approximations of singular source terms in differential equations
    • Tornberg A.-K., Engquist B. Numerical approximations of singular source terms in differential equations. J Comput Phys 2004, 200:462-488.
    • (2004) J Comput Phys , vol.200 , pp. 462-488
    • Tornberg, A.-K.1    Engquist, B.2
  • 28
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang G. On the construction and comparison of difference schemes. SIAM J Numer Anal 1968, 5:506-517.
    • (1968) SIAM J Numer Anal , vol.5 , pp. 506-517
    • Strang, G.1
  • 30
    • 0003252789 scopus 로고    scopus 로고
    • Applied numerical linear algebra
    • Available from:
    • Demmel J. Applied numerical linear algebra. Soc Ind Appl Math 1997, Available from: http://www.amazon.com/Applied-Numerical-Linear-Algebra-Demmel/dp/0898713897.
    • (1997) Soc Ind Appl Math
    • Demmel, J.1
  • 31
    • 79960890709 scopus 로고    scopus 로고
    • Interface tracking methods with application to multiphase flows. PhD thesis, Royal Institute of Technology.
    • Tornberg A-K. Interface tracking methods with application to multiphase flows. PhD thesis, Royal Institute of Technology; 2000.
    • (2000)
    • Tornberg, A.-K.1
  • 34
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi S.O., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys 1992, 100:25-37.
    • (1992) J Comput Phys , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 35
    • 84958445108 scopus 로고
    • Two-dimensional bubbles in slow viscous flows
    • Richardson S. Two-dimensional bubbles in slow viscous flows. J Fluid Mech 1968, 33(3):476-493.
    • (1968) J Fluid Mech , vol.33 , Issue.3 , pp. 476-493
    • Richardson, S.1
  • 37
    • 79960893294 scopus 로고    scopus 로고
    • A front-tracking method for simulating bubble motion using high order finite element methods. Master's thesis, University of Houston
    • Tornberg A-K. A front-tracking method for simulating bubble motion using high order finite element methods. Master's thesis, University of Houston; 1996.
    • (1996)
    • Tornberg, A.-K.1
  • 38
    • 0029239893 scopus 로고
    • Effects of inertia on the deformation of liquid drops in simple shear flow
    • Sheth K., Pozrikidis C. Effects of inertia on the deformation of liquid drops in simple shear flow. Comput Fluids 1995, 24:101-119.
    • (1995) Comput Fluids , vol.24 , pp. 101-119
    • Sheth, K.1    Pozrikidis, C.2
  • 39
    • 44749084234 scopus 로고
    • Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S., Sethian J. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 1988, 79:12-49.
    • (1988) J Comput Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.2
  • 40
    • 79960893045 scopus 로고    scopus 로고
    • Personal communication
    • Bringley T. Personal communication; 2006.
    • (2006)
    • Bringley, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.