메뉴 건너뛰기




Volumn 165, Issue 13-14, 2010, Pages 743-751

Purely elastic instabilities in three-dimensional cross-slot geometries

Author keywords

3D cross slot; Elastic instability; Finite volume method; Flow bifurcation; UCM model

Indexed keywords

BIAXIAL EXTENSION; DEBORAH NUMBERS; ELASTIC FLOWS; ELASTIC INSTABILITIES; EXTENSIONAL FLOWS; FLOW ARRANGEMENTS; FLOW CONFIGURATIONS; LOW REYNOLDS NUMBER FLOW; ON FLOW; STAGNATION POINTS; SYMMETRIC FLOW; TIME-DEPENDENT; UCM MODEL; UNIAXIAL EXTENSION; UNIAXIAL EXTENSIONAL FLOW; UPPER-CONVECTED MAXWELL FLUIDS; VISCOELASTIC FLOWS;

EID: 77953292423     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2010.03.010     Document Type: Article
Times cited : (41)

References (34)
  • 1
    • 0023826774 scopus 로고
    • Entanglements in polymer solutions under elongational flow: a combined study of chain stretching, flow velocimetry and elongational viscosity
    • Chow A., Keller A., Müller A.J., Odell A. Entanglements in polymer solutions under elongational flow: a combined study of chain stretching, flow velocimetry and elongational viscosity. Macromolecules 1988, 21:250-256.
    • (1988) Macromolecules , vol.21 , pp. 250-256
    • Chow, A.1    Keller, A.2    Müller, A.J.3    Odell, A.4
  • 2
    • 0021427995 scopus 로고
    • The stability of two-dimensional linear flows
    • Lagnado R.R., Phan-Thien N., Leal L.G. The stability of two-dimensional linear flows. Phys. Fluids 1984, 27:1094-1101.
    • (1984) Phys. Fluids , vol.27 , pp. 1094-1101
    • Lagnado, R.R.1    Phan-Thien, N.2    Leal, L.G.3
  • 3
  • 5
    • 77953291220 scopus 로고    scopus 로고
    • Viscoelastic flows in mixing separating cells, J. Eng. Mathematics, Submitted for publication
    • A.M. Afonso, M.A. Alves, R.J. Poole, P.J. Oliveira, F.T. Pinho, Viscoelastic flows in mixing separating cells, J. Eng. Mathematics, Submitted for publication.
    • Afonso, A.M.1    Alves, M.A.2    Poole, R.J.3    Oliveira, P.J.4    Pinho, F.T.5
  • 6
    • 56049125061 scopus 로고    scopus 로고
    • Viscoelastic flow in a 3D square/square contraction: visualizations and simulations
    • Alves M.A., Pinho F.T., Oliveira P.J. Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. J. Rheol. 2008, 52:1347-1368.
    • (2008) J. Rheol. , vol.52 , pp. 1347-1368
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 9
    • 0025492179 scopus 로고
    • A purely elastic instability in Taylor-Couette flow
    • Larson R.G., Shaqfeh E.S.G., Muller S.J. A purely elastic instability in Taylor-Couette flow. J. Fluid Mech. 1990, 218:573-600.
    • (1990) J. Fluid Mech. , vol.218 , pp. 573-600
    • Larson, R.G.1    Shaqfeh, E.S.G.2    Muller, S.J.3
  • 10
    • 0027576468 scopus 로고
    • Experimental studies of the onset of oscillatory instability in viscoelastic Taylor-Couette flow
    • Muller S.J., Shaqfeh E.S.G., Larson R.G. Experimental studies of the onset of oscillatory instability in viscoelastic Taylor-Couette flow. J. Non-Newt. Fluid Mech. 1993, 46:315-330.
    • (1993) J. Non-Newt. Fluid Mech. , vol.46 , pp. 315-330
    • Muller, S.J.1    Shaqfeh, E.S.G.2    Larson, R.G.3
  • 11
    • 0030291976 scopus 로고    scopus 로고
    • Geometric and rheological scaling of purely elastic flow instabilities
    • McKinley G.H., Pakdel P., Öztekin A. Geometric and rheological scaling of purely elastic flow instabilities. J. Non-Newt. Fluid Mech. 1996, 67:19-48.
    • (1996) J. Non-Newt. Fluid Mech. , vol.67 , pp. 19-48
    • McKinley, G.H.1    Pakdel, P.2    Öztekin, A.3
  • 12
    • 0034604090 scopus 로고    scopus 로고
    • Elastic turbulence in a polymer solution flow
    • Groisman A., Steinberg V. Elastic turbulence in a polymer solution flow. Nature 2000, 405:53-55.
    • (2000) Nature , vol.405 , pp. 53-55
    • Groisman, A.1    Steinberg, V.2
  • 13
    • 0026804375 scopus 로고
    • A purely elastic instability in Dean and Taylor-Dean flow
    • Joo Y.L., Shaqfeh E.S.G. A purely elastic instability in Dean and Taylor-Dean flow. Phys. Fluids A 1992, 4:524-543.
    • (1992) Phys. Fluids A , vol.4 , pp. 524-543
    • Joo, Y.L.1    Shaqfeh, E.S.G.2
  • 14
    • 0024067937 scopus 로고
    • Do we understand the physics in the constitutive equation?
    • Rallison J.M., Hinch E.J. Do we understand the physics in the constitutive equation?. J. Non-Newt. Fluid Mech. 1988, 29:37-55.
    • (1988) J. Non-Newt. Fluid Mech. , vol.29 , pp. 37-55
    • Rallison, J.M.1    Hinch, E.J.2
  • 15
    • 33748163424 scopus 로고    scopus 로고
    • A comment on smoothness of viscoelastic stresses
    • Renardy M. A comment on smoothness of viscoelastic stresses. J. Non-Newt. Fluid Mech. 2006, 138:204-205.
    • (2006) J. Non-Newt. Fluid Mech. , vol.138 , pp. 204-205
    • Renardy, M.1
  • 16
    • 35748960853 scopus 로고    scopus 로고
    • Emergence of singular structures in Oldroyd-B fluids
    • Thomases B., Shelley P. Emergence of singular structures in Oldroyd-B fluids. Phys. Fluids 2007, 19:103103.
    • (2007) Phys. Fluids , vol.19 , pp. 103103
    • Thomases, B.1    Shelley, P.2
  • 17
    • 47249090527 scopus 로고    scopus 로고
    • Scaling of singular structures in extensional flow of dilute polymer solutions
    • Becherer P., Morozov A.N., van Saarloos W. Scaling of singular structures in extensional flow of dilute polymer solutions. J. Non-Newt. Fluid Mech. 2008, 153:183-190.
    • (2008) J. Non-Newt. Fluid Mech. , vol.153 , pp. 183-190
    • Becherer, P.1    Morozov, A.N.2    van Saarloos, W.3
  • 18
    • 24944498780 scopus 로고    scopus 로고
    • Microfluidics: fluid physics at the nanoliter scale
    • Squires T.M., Quake S.R. Microfluidics: fluid physics at the nanoliter scale. Rev. Mod. Phys. 2005, 7:977-1026.
    • (2005) Rev. Mod. Phys. , vol.7 , pp. 977-1026
    • Squires, T.M.1    Quake, S.R.2
  • 22
    • 8844269488 scopus 로고    scopus 로고
    • Constitutive laws of the matrix-logarithm of the conformation tensor
    • Fattal R., Kupferman R. Constitutive laws of the matrix-logarithm of the conformation tensor. J. Non-Newt. Fluid Mech. 2004, 123:281-285.
    • (2004) J. Non-Newt. Fluid Mech. , vol.123 , pp. 281-285
    • Fattal, R.1    Kupferman, R.2
  • 23
    • 26444468123 scopus 로고    scopus 로고
    • Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations
    • Kwon Y.D. Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations. Korea-Aust. Rheol. J. 2004, 16:183-191.
    • (2004) Korea-Aust. Rheol. J. , vol.16 , pp. 183-191
    • Kwon, Y.D.1
  • 24
    • 18444412270 scopus 로고    scopus 로고
    • Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
    • Hulsen M.A., Fattal R., Kupferman R. Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms. J. Non-Newt. Fluid Mech. 2005, 127:27-39.
    • (2005) J. Non-Newt. Fluid Mech. , vol.127 , pp. 27-39
    • Hulsen, M.A.1    Fattal, R.2    Kupferman, R.3
  • 25
    • 36549032608 scopus 로고    scopus 로고
    • A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation
    • Coronado O.M., Arora D., Behr M., Pasquali M. A simple method for simulating general viscoelastic fluid flows with an alternate log-conformation formulation. J. Non-Newt. Fluid Mech. 2007, 147:189-199.
    • (2007) J. Non-Newt. Fluid Mech. , vol.147 , pp. 189-199
    • Coronado, O.M.1    Arora, D.2    Behr, M.3    Pasquali, M.4
  • 26
  • 27
    • 70350707613 scopus 로고    scopus 로고
    • A comparison of four implementations of the log-conformation formulation for viscoelastic fluid flows
    • Kane A., Guénette R., Fortin A. A comparison of four implementations of the log-conformation formulation for viscoelastic fluid flows. J. Non-Newt. Fluid Mech. 2009, 164:45-50.
    • (2009) J. Non-Newt. Fluid Mech. , vol.164 , pp. 45-50
    • Kane, A.1    Guénette, R.2    Fortin, A.3
  • 28
    • 0037428347 scopus 로고    scopus 로고
    • A convergent and universally bounded interpolation scheme for the treatment of advection
    • Alves M.A., Oliveira P.J., Pinho F.T. A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Numer. Meth. Fluids 2003, 41:47-75.
    • (2003) Int. J. Numer. Meth. Fluids , vol.41 , pp. 47-75
    • Alves, M.A.1    Oliveira, P.J.2    Pinho, F.T.3
  • 29
    • 0000815309 scopus 로고
    • Dynamics of polymeric liquids
    • John Wiley & Sons, New York
    • Bird R.B., Armstrong R.C., Hassager O. Dynamics of polymeric liquids. Fluid Mechanics 1987, vol. 1. John Wiley & Sons, New York. 2nd ed.
    • (1987) Fluid Mechanics , vol.1
    • Bird, R.B.1    Armstrong, R.C.2    Hassager, O.3
  • 32
    • 64549136199 scopus 로고    scopus 로고
    • Modeling PTFE past extrusion: the effect of an objective flow type parameter
    • Mitsoulis E., Hatzikiriakos S.G. Modeling PTFE past extrusion: the effect of an objective flow type parameter. J. Non-Newt. Fluid Mech. 2009, 159:41.
    • (2009) J. Non-Newt. Fluid Mech. , vol.159 , pp. 41
    • Mitsoulis, E.1    Hatzikiriakos, S.G.2
  • 33
    • 0000485304 scopus 로고
    • Flow birefringence of dilute polymer solutions in two-dimensional flows
    • Fuller G.G., Leal L.G. Flow birefringence of dilute polymer solutions in two-dimensional flows. Rheol. Acta 1980, 19:580.
    • (1980) Rheol. Acta , vol.19 , pp. 580
    • Fuller, G.G.1    Leal, L.G.2
  • 34
    • 70349491125 scopus 로고    scopus 로고
    • The numerical simulation of some contraction flows of highly elastic liquids and their impact on the relevance of the Couette correction in extensional rheology
    • Walters K., Webster M.F., Tamaddon-Jahromi H.R. The numerical simulation of some contraction flows of highly elastic liquids and their impact on the relevance of the Couette correction in extensional rheology. Chem. Eng. Sci. 2009, 64:4632-4639.
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 4632-4639
    • Walters, K.1    Webster, M.F.2    Tamaddon-Jahromi, H.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.