메뉴 건너뛰기




Volumn 4, Issue 1, 2005, Pages 23-43

Existence of steady flows of slightly compressible viscoelastic fluids of white-metzner type around an obstacle

Author keywords

Flows around obstacles; Steady flows; Viscoelastic fluids; Weak compressibility; White Metzner model

Indexed keywords


EID: 33746553341     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2005.4.23     Document Type: Article
Times cited : (5)

References (35)
  • 2
    • 0033620913 scopus 로고    scopus 로고
    • A first-order model for bubble dynamics in a compressible viscoelastic liquid
    • E.A. Brujan, A first-order model for bubble dynamics in a compressible viscoelastic liquid, J. Non-Newtonian Fluid Mech., 84 (1999), 83-103.
    • (1999) J. Non-newtonian Fluid Mech. , vol.84 , pp. 83-103
    • Brujan, E.A.1
  • 3
    • 0025478101 scopus 로고
    • Remarks concerning compressible viscoelastic fluids flow
    • B.S. Edwards and A.N. Beris, Remarks concerning compressible viscoelastic fluids flow, J. Non-Newtonian Fluid Mech., 36 (1990), 411-417.
    • (1990) J. Non-newtonian Fluid Mech. , vol.36 , pp. 411-417
    • Edwards, B.S.1    Beris, A.N.2
  • 4
    • 0024068457 scopus 로고
    • Numerical simulations and change in type in the developing of a nonlinear viscoelastic fluid
    • R. E. Gaidos and R. Darby, Numerical simulations and change in type in the developing of a nonlinear viscoelastic fluid, J. Non-Newtonian Fluid Mech., 29 (1988), 59-80.
    • (1988) J. Non-newtonian Fluid Mech. , vol.29 , pp. 59-80
    • Gaidos, R.E.1    Darby, R.2
  • 6
    • 0037321899 scopus 로고    scopus 로고
    • The time-dependent, compressible Poiseuille and extrudate-swell flows of a Carreau fluid with slip at the wall
    • G. C. Georgiou, The time-dependent, compressible Poiseuille and extrudate-swell flows of a Carreau fluid with slip at the wall, J. Non-Newtonian Fluid Mech., 109 (2003), 93-114.
    • (2003) J. Non-newtonian Fluid Mech. , vol.109 , pp. 93-114
    • Georgiou, G.C.1
  • 7
    • 0028441633 scopus 로고
    • Compressible viscous flow in slits with slip at the wall
    • G. C. Georgiou and M. T. Crochet, Compressible viscous flow in slits with slip at the wall, J. Rheol., 38 (1994), 639-654.
    • (1994) J. Rheol. , vol.38 , pp. 639-654
    • Georgiou, G.C.1    Crochet, M.T.2
  • 9
    • 84974239146 scopus 로고
    • Existence and stability of steady flows of weakly viscoelastic fluids
    • C. Guillopé and J.C. Saut, Existence and stability of steady flows of weakly viscoelastic fluids, Proc. Royal Soc. Edinburgh, 119A (1991), 137-158.
    • (1991) Proc. Royal Soc. Edinburgh , vol.119 A , pp. 137-158
    • Guillopé, C.1    Saut, J.C.2
  • 10
    • 33746576050 scopus 로고    scopus 로고
    • Steady flows of slightly compressible viscoelastic fluids of Jeffreys' type around an obstacle
    • C. Guillopé and R. Talhouk, Steady flows of slightly compressible viscoelastic fluids of Jeffreys' type around an obstacle, Diff. and Int. Eq., 16 (2003), 1293-1320.
    • (2003) Diff. and Int. Eq. , vol.16 , pp. 1293-1320
    • Guillopé, C.1    Talhouk, R.2
  • 11
    • 0005164615 scopus 로고
    • Mathematical analysis of viscoelastic fluids of White-Metzner type
    • A. Hakim, Mathematical analysis of viscoelastic fluids of White-Metzner type, J. Math. Anal. Appl., 185 (1994), 675-705.
    • (1994) J. Math. Anal. Appl. , vol.185 , pp. 675-705
    • Hakim, A.1
  • 12
    • 0344641982 scopus 로고    scopus 로고
    • Existence of slow steady flows of viscoelastic fluids of White-Metzner type
    • A. Hakim, Existence of slow steady flows of viscoelastic fluids of White-Metzner type, Comput. Math. Appl., 38 (1999), 239-247.
    • (1999) Comput. Math. Appl. , vol.38 , pp. 239-247
    • Hakim, A.1
  • 13
    • 0031130338 scopus 로고    scopus 로고
    • Compressible flow analysis of filling and post-filling in injection molding with phase-change effect
    • K.-H. Han and Y.-T. Im, Compressible flow analysis of filling and post-filling in injection molding with phase-change effect, Composite Struct., 38 (1997), 179-190.
    • (1997) Composite Struct. , vol.38 , pp. 179-190
    • Han, K.-H.1    Im, Y.-T.2
  • 15
    • 0021817742 scopus 로고
    • Hyperbolicity and change of type in the flow of viscoelastic fluids
    • D.D. Joseph, M. Renardy and J.-C. Saut, Hyperbolicity and change of type in the flow of viscoelastic fluids, Arch. Rat. Mech. Anal., 87 (1985), 15-41.
    • (1985) Arch. Rat. Mech. Anal. , vol.87 , pp. 15-41
    • Joseph, D.D.1    Renardy, M.2    Saut, J.-C.3
  • 16
    • 0024647872 scopus 로고
    • Change of type and loss of evolution of the White-Metzner model
    • D.D. Joseph and C. Verdier, Change of type and loss of evolution of the White-Metzner model, J. Non-Newtonian Fluid Mech., 31 (1989), 325-343.
    • (1989) J. Non-newtonian Fluid Mech. , vol.31 , pp. 325-343
    • Joseph, D.D.1    Verdier, C.2
  • 17
    • 0004145580 scopus 로고
    • Constitutive equations for polymer melts and solutions
    • Buttersworths, London
    • R. G. Larson. Constitutive Equations for Polymer Melts and Solutions, Series in Chemical Engineering, Buttersworths, London, 1987.
    • (1987) Series in Chemical Engineering
    • Larson, R.G.1
  • 18
    • 0344211078 scopus 로고    scopus 로고
    • Existence of classical solutions for compressible viscoelastic fluids of Oldroyd type past an obstacle
    • Š. Matušů-Nečasová, A. Sequeira and J.H. Videman, Existence of classical solutions for compressible viscoelastic fluids of Oldroyd type past an obstacle, Math. Meth. Appl. Sc., 22 (1999), 449-460.
    • (1999) Math. Meth. Appl. Sc. , vol.22 , pp. 449-460
    • Matušů-Nečasová, Š.1    Sequeira, A.2    Videman, J.H.3
  • 19
    • 0742271963 scopus 로고    scopus 로고
    • Résultats d'existence pour les écoulements réguliers de fluides viscoélastiques incompressibles à loi différentielle de type White-Metzner en dimension 3
    • L. Molinet and R. Talhouk, Résultats d'existence pour les écoulements réguliers de fluides viscoélastiques incompressibles à loi différentielle de type White-Metzner en dimension 3, C. R. Acad. Sc. Paris, Ser. I, 338 (2004), 171-176.
    • (2004) C. R. Acad. Sc. Paris, Ser. I , vol.338 , pp. 171-176
    • Molinet, L.1    Talhouk, R.2
  • 21
    • 0024606907 scopus 로고
    • Numerical solution and change of type in the developing flow of a nonlinear viscoelastic fluid
    • T. Nikoleris and R. Darby, Numerical solution and change of type in the developing flow of a nonlinear viscoelastic fluid, J. Non-Newtonian Fluid Mech., 31 (1989), 193-207.
    • (1989) J. Non-newtonian Fluid Mech. , vol.31 , pp. 193-207
    • Nikoleris, T.1    Darby, R.2
  • 22
    • 0010239148 scopus 로고    scopus 로고
    • On the steady transport equation
    • "Advanced Topics in Theoretical Fluid Mechanics" (ed J. Málek, J. Nec̄as and M. Rokyta), Longman
    • A. Novotný, On the steady transport equation, in "Advanced Topics in Theoretical Fluid Mechanics" (ed J. Málek, J. Nec̄as and M. Rokyta), Pitman Research Notes in Mathematics Series 392, Longman (1998), 118-146.
    • (1998) Pitman Research Notes in Mathematics Series , vol.392 , pp. 118-146
    • Novotný, A.1
  • 23
    • 0040770217 scopus 로고
    • p Approach to steady flows of viscous compressible fluids in exterior domains
    • p Approach to steady flows of viscous compressible fluids in exterior domains, Arch. Rat. Mech. Anal., 126 (1994), 243-297.
    • (1994) Arch. Rat. Mech. Anal. , vol.126 , pp. 243-297
    • Novotný, A.1    Padula, M.2
  • 24
    • 0033410008 scopus 로고    scopus 로고
    • Steady motions of viscoelastic fluids in three-dimensional exterior domains. Existence, uniqueness and asymptotic behaviour
    • A. Novotný, A. Sequeira and J. H. Videman, Steady motions of viscoelastic fluids in three-dimensional exterior domains. Existence, uniqueness and asymptotic behaviour, Arch. Rat. Mech. Anal., 149 (1999), 49-67.
    • (1999) Arch. Rat. Mech. Anal. , vol.149 , pp. 49-67
    • Novotný, A.1    Sequeira, A.2    Videman, J.H.3
  • 25
    • 0001086663 scopus 로고
    • On the formation of Theological equations of state
    • J. G. Oldroyd, On the formation of Theological 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
  • 28
    • 0000190846 scopus 로고    scopus 로고
    • The application of multipass rheometer to time-dependent capillary flow measurements of a polyethylene melt
    • M. Ranagatan, M.R. Mackley and P.H. J. Spitteler, The application of multipass rheometer to time-dependent capillary flow measurements of a polyethylene melt, J. Rheology, 43 (1999), 443-451.
    • (1999) J. Rheology , vol.43 , pp. 443-451
    • Ranagatan, M.1    Mackley, M.R.2    Spitteler, P.H.J.3
  • 29
    • 0022251546 scopus 로고
    • Existence of slow steady flow of viscoelastic fluids with differential constitutive equations
    • M. Renardy, Existence of slow steady flow of viscoelastic fluids with differential constitutive equations, Z. Angew. Math. Mech., 65 (1985), 449-451.
    • (1985) Z. Angew. Math. Mech. , vol.65 , pp. 449-451
    • Renardy, M.1
  • 30
    • 0034029356 scopus 로고    scopus 로고
    • Current issues in non-Newtonian flows: A mathematical perspective
    • M. Renardy, Current issues in non-Newtonian flows: a mathematical perspective, J. Non-Newtonian Fluid Mech., 90 (2000), 243-259.
    • (2000) J. Non-newtonian Fluid Mech. , vol.90 , pp. 243-259
    • Renardy, M.1
  • 32
    • 0141858853 scopus 로고
    • Écoulements stationnaires de fluides viscoélastiques faiblement compressibles
    • R.Talhouk, Écoulements stationnaires de fluides viscoélastiques faiblement compressibles, C. R. Acad. Sc. Paris, Ser. I, 320 (1995), 1025-1030.
    • (1995) C. R. Acad. Sc. Paris, Ser. I , vol.320 , pp. 1025-1030
    • Talhouk, R.1
  • 33
    • 0141635336 scopus 로고    scopus 로고
    • Existence results for steady flow of weakly compressible viscoelastic fluids with a differential constitutive law
    • R. Talhouk, Existence results for steady flow of weakly compressible viscoelastic fluids with a differential constitutive law, Diff. Int. Eq., 12 (1999), 741-772.
    • (1999) Diff. Int. Eq. , vol.12 , pp. 741-772
    • Talhouk, R.1
  • 34
    • 0242306874 scopus 로고    scopus 로고
    • The distinctive CFD challenges of computational rheology
    • K. Walters and M.F. Webster, The distinctive CFD challenges of computational rheology, Intern. J. Num. Meth. Fluids, 43 (2003), 577-596.
    • (2003) Intern. J. Num. Meth. Fluids , vol.43 , pp. 577-596
    • Walters, K.1    Webster, M.F.2
  • 35
    • 0033395602 scopus 로고    scopus 로고
    • Instabilities of channel flow of a shear-thinning White-Metzner fluid
    • H.J. Wilson and J.M. Rallison, Instabilities of channel flow of a shear-thinning White-Metzner fluid, J. Non-Newtonian Fluid Mech., 87 (1999), 75-96.
    • (1999) J. Non-newtonian Fluid Mech. , vol.87 , pp. 75-96
    • Wilson, H.J.1    Rallison, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.