메뉴 건너뛰기




Volumn 11, Issue 7, 1999, Pages 1749-1756

Effect of wall slip on the stability of viscoelastic plane shear flow

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ELASTIC MODULI; MATHEMATICAL MODELS; MOLECULAR WEIGHT; RELAXATION PROCESSES; SHEAR STRESS; VISCOELASTICITY; VISCOUS FLOW;

EID: 0032608185     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870040     Document Type: Article
Times cited : (20)

References (60)
  • 1
    • 84985609786 scopus 로고
    • Instabilities in polymer processing
    • C. J. S. Petrie and M. M. Denn, "Instabilities in polymer processing," AIChE. J. 22, 209 (1976).
    • (1976) AIChE. J. , vol.22 , pp. 209
    • Petrie, C.J.S.1    Denn, M.M.2
  • 2
    • 11944258338 scopus 로고
    • Issues in viscoelastic fluid mechanics
    • M. M. Denn, "Issues in viscoelastic fluid mechanics," Annu. Rev. Fluid Mech. 22, 13 (1990).
    • (1990) Annu. Rev. Fluid Mech. , vol.22 , pp. 13
    • Denn, M.M.1
  • 3
    • 33751371137 scopus 로고
    • Instabilities in viscoelastic flows
    • R. G. Larson, "Instabilities in viscoelastic flows," Rheol. Acta 31, 213 (1992).
    • (1992) Rheol. Acta , vol.31 , pp. 213
    • Larson, R.G.1
  • 5
    • 0028486457 scopus 로고
    • Extrudate distortions in linear low-density polyethylene solutions and melts
    • G. Pomar, S. J. Muller, and M. M. Denn, "Extrudate distortions in linear low-density polyethylene solutions and melts," J. Non-Newtonian Fluid Mech. 54, 143 (1994).
    • (1994) J. Non-Newtonian Fluid Mech. , vol.54 , pp. 143
    • Pomar, G.1    Muller, S.J.2    Denn, M.M.3
  • 6
    • 84980157467 scopus 로고
    • New aspects of melt fracture
    • J. J. Benbow and P. Lamb, "New aspects of melt fracture," SPE Trans. 3, 7 (1963).
    • (1963) SPE Trans. , vol.3 , pp. 7
    • Benbow, J.J.1    Lamb, P.2
  • 7
    • 0022693521 scopus 로고
    • Wall slip in viscous fluids and influence of materials of construction
    • A. V. Ramamurthy, "Wall slip in viscous fluids and influence of materials of construction," J. Rheol. 30, 337 (1986).
    • (1986) J. Rheol. , vol.30 , pp. 337
    • Ramamurthy, A.V.1
  • 8
    • 5844280542 scopus 로고
    • Technical Note: New information of the mechanism of the adhesion promoter reported in 'Wall slip of molten high density polyethylene'
    • C. W. Stewart and J. M. Dealy, "Technical Note: New information of the mechanism of the adhesion promoter reported in 'Wall slip of molten high density polyethylene' [J. Rheol. 35, 497 (1991)]," J. Rheol. 36, 967 (1992).
    • (1991) J. Rheol. , vol.35 , pp. 497
    • Stewart, C.W.1    Dealy, J.M.2
  • 9
    • 5844280542 scopus 로고
    • C. W. Stewart and J. M. Dealy, "Technical Note: New information of the mechanism of the adhesion promoter reported in 'Wall slip of molten high density polyethylene' [J. Rheol. 35, 497 (1991)]," J. Rheol. 36, 967 (1992).
    • (1992) J. Rheol. , vol.36 , pp. 967
  • 10
    • 0028367795 scopus 로고
    • The effect of metals on the processing of LLDPE through a slit die
    • P. J. Halley and M. E. Mackay, "The effect of metals on the processing of LLDPE through a slit die," J. Rheol. 38, 41 (1994).
    • (1994) J. Rheol. , vol.38 , pp. 41
    • Halley, P.J.1    Mackay, M.E.2
  • 11
    • 84976128750 scopus 로고
    • On the no-slip boundary condition
    • S. Richardson, "On the no-slip boundary condition," J. Fluid Mech. 59, 707 (1973).
    • (1973) J. Fluid Mech. , vol.59 , pp. 707
    • Richardson, S.1
  • 12
    • 0001577790 scopus 로고    scopus 로고
    • The effect of die materials and pressure-dependent slip on the extrusion of linear low-density polyethylenes
    • T. J. Person and M. M. Denn, "The effect of die materials and pressure-dependent slip on the extrusion of linear low-density polyethylenes," J. Rheol. 41, 249 (1997).
    • (1997) J. Rheol. , vol.41 , pp. 249
    • Person, T.J.1    Denn, M.M.2
  • 13
    • 0000191272 scopus 로고    scopus 로고
    • Exploring molecular origins of sharkskin, partial slip, and slope change in flow curves of linear low density polyethylene
    • S.-Q. Wang, P. A. Drda, and Y.-W. Inn, "Exploring molecular origins of sharkskin, partial slip, and slope change in flow curves of linear low density polyethylene," J. Rheol. 40, 875 (1996).
    • (1996) J. Rheol. , vol.40 , pp. 875
    • Wang, S.-Q.1    Drda, P.A.2    Inn, Y.-W.3
  • 14
    • 0002804466 scopus 로고
    • Distortions of polymer extrudates and their elimination using slippery surfaces
    • J.-M. Piau, N. E. Kissi, F. Toussaint, and A. Mezghani, "Distortions of polymer extrudates and their elimination using slippery surfaces," Rheol. Acta 34, 40 (1995).
    • (1995) Rheol. Acta , vol.34 , pp. 40
    • Piau, J.-M.1    Kissi, N.E.2    Toussaint, F.3    Mezghani, A.4
  • 15
    • 0025478054 scopus 로고
    • Additional observations on the surface melt fracture behavior of linear low density polyethylene
    • R. H. Moynihan, D. G. Baird, and R. Ramanathan, "Additional observations on the surface melt fracture behavior of linear low density polyethylene," J. Non-Newtonian Fluid Mech. 36, 255 (1990).
    • (1990) J. Non-Newtonian Fluid Mech. , vol.36 , pp. 255
    • Moynihan, R.H.1    Baird, D.G.2    Ramanathan, R.3
  • 19
    • 0031212129 scopus 로고    scopus 로고
    • Common line motion I: Implications of entropy inequality
    • P. K. Dhori and J. C. Slattery, "Common line motion I: Implications of entropy inequality," J. Non-Newtonian Fluid Mech. 71, 197 (1997).
    • (1997) J. Non-Newtonian Fluid Mech. , vol.71 , pp. 197
    • Dhori, P.K.1    Slattery, J.C.2
  • 22
    • 0026989697 scopus 로고
    • Shear-dependent slippage at a polymer/solid interface
    • F. Brochard and P. G. de Gennes, "Shear-dependent slippage at a polymer/solid interface," Langmuir 8, 3033 (1992).
    • (1992) Langmuir , vol.8 , pp. 3033
    • Brochard, F.1    De Gennes, P.G.2
  • 24
    • 0032162392 scopus 로고    scopus 로고
    • Slip in entangled polymer solutions
    • V. Mhetar and L. A. Archer, "Slip in entangled polymer solutions," Macromolecules 31, 6639 (1998).
    • (1998) Macromolecules , vol.31 , pp. 6639
    • Mhetar, V.1    Archer, L.A.2
  • 25
    • 0032209178 scopus 로고    scopus 로고
    • A model for slip at polymer/solid interfaces
    • A. L. Yarin and M. D. Graham, "A model for slip at polymer/solid interfaces," J. Rheol. 42, 1491 (1998).
    • (1998) J. Rheol. , vol.42 , pp. 1491
    • Yarin, A.L.1    Graham, M.D.2
  • 26
    • 0032109086 scopus 로고    scopus 로고
    • Interfacial molecular instability mechanism for sharkskin phenomenon in capillary extrusion of linear polyethylenes
    • J. R. Barone, N. Plucktaveesak, and S. Q. Wang, "Interfacial molecular instability mechanism for sharkskin phenomenon in capillary extrusion of linear polyethylenes," J. Rheol. 42, 813 (1998).
    • (1998) J. Rheol. , vol.42 , pp. 813
    • Barone, J.R.1    Plucktaveesak, N.2    Wang, S.Q.3
  • 27
    • 0008774812 scopus 로고    scopus 로고
    • Molecular transitions and dynamics at polymer/wall interfaces: Origins of flow instabilities and wall slip
    • S.-Q. Wang, "Molecular transitions and dynamics at polymer/wall interfaces: Origins of flow instabilities and wall slip," Adv. Polym. Sci. 138, 227 (1999).
    • (1999) Adv. Polym. Sci. , vol.138 , pp. 227
    • Wang, S.-Q.1
  • 28
    • 0033096580 scopus 로고    scopus 로고
    • The sharkskin instability of polymer melt flows
    • M. D. Graham, "The sharkskin instability of polymer melt flows," Chaos 9, 154 (1999).
    • (1999) Chaos , vol.9 , pp. 154
    • Graham, M.D.1
  • 29
    • 5244229921 scopus 로고
    • Shear enhanced concentration fluctuations in polymer solutions as observed by flow light scattering
    • T. Hashimoto and K. Fujioka, "Shear enhanced concentration fluctuations in polymer solutions as observed by flow light scattering," J. Phys. Soc. Jpn. 60, 356 (1991).
    • (1991) J. Phys. Soc. Jpn. , vol.60 , pp. 356
    • Hashimoto, T.1    Fujioka, K.2
  • 30
    • 0000259969 scopus 로고
    • Shear microscopy of the butterfly pattern in polymer mixtures
    • E. Moses, T. Kume, and T, Hashimoto, "Shear microscopy of the butterfly pattern in polymer mixtures," Phys. Rev. Lett. 72, 2037 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2037
    • Moses, E.1    Kume, T.2    Hashimoto, T.3
  • 31
    • 0001372116 scopus 로고
    • Enhanced concentration fluctuations in polymer solutions under shear flow
    • X.-L. Wu, D. J. Pine, and P. K. Dixon, "Enhanced concentration fluctuations in polymer solutions under shear flow," Phys. Rev. Lett. 66, 2408 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2408
    • Wu, X.-L.1    Pine, D.J.2    Dixon, P.K.3
  • 33
    • 0002888022 scopus 로고    scopus 로고
    • On the stability of the shear flow of a viscoelastic fluid with slip along the fixed wall
    • G. C. Georgiou, "On the stability of the shear flow of a viscoelastic fluid with slip along the fixed wall," Rheol. Acta 35, 39 (1996).
    • (1996) Rheol. Acta , vol.35 , pp. 39
    • Georgiou, G.C.1
  • 34
    • 0001260490 scopus 로고    scopus 로고
    • Model for melt fracture instabilities in the capillary flow of polymer melts
    • J. D. Shore, D. Ronis, L. Piché, and M. Grant, "Model for melt fracture instabilities in the capillary flow of polymer melts," Phys. Rev. Lett. 77, 655 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 655
    • Shore, J.D.1    Ronis, D.2    Piché, L.3    Grant, M.4
  • 35
    • 0028441633 scopus 로고
    • Compressible viscous flow in slits with slip at the wall
    • G. C. Georgiou and M. J. Crochet, "Compressible viscous flow in slits with slip at the wall," J. Rheol. 38, 639 (1994).
    • (1994) J. Rheol. , vol.38 , pp. 639
    • Georgiou, G.C.1    Crochet, M.J.2
  • 36
  • 37
    • 0031831952 scopus 로고    scopus 로고
    • Linear stability diagrams for the shear flow of an Oldroyd-B fluid with slip along the fixed wall
    • M. M. Fyrillas and G. C. Georgiou, "Linear stability diagrams for the shear flow of an Oldroyd-B fluid with slip along the fixed wall," Rheol, Acta 37, 61 (1998).
    • (1998) Rheol, Acta , vol.37 , pp. 61
    • Fyrillas, M.M.1    Georgiou, G.C.2
  • 38
    • 0025446101 scopus 로고
    • Short wave instabilities resulting from memory slip
    • M. Renardy, "Short wave instabilities resulting from memory slip," J. Non-Newtonian Fluid Mech. 35, 73 (1990).
    • (1990) J. Non-Newtonian Fluid Mech. , vol.35 , pp. 73
    • Renardy, M.1
  • 39
    • 0001085207 scopus 로고    scopus 로고
    • Wall-slip and polymer-melt flow instability
    • W. B. Black and M. D. Graham, "Wall-slip and polymer-melt flow instability," Phys. Rev. Lett. 77, 956 (1996).
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 956
    • Black, W.B.1    Graham, M.D.2
  • 40
    • 78651375012 scopus 로고
    • On the apparent relation between adhesive failure and melt fracture
    • D. A. Hill, T. Hasegawa, and M. M. Denn, "On the apparent relation between adhesive failure and melt fracture," J. Rheol. 34, 891 (1990).
    • (1990) J. Rheol. , vol.34 , pp. 891
    • Hill, D.A.1    Hasegawa, T.2    Denn, M.M.3
  • 41
    • 0032072267 scopus 로고    scopus 로고
    • Wall slip in polymer melts: A pseudo-chemical model
    • D. A. Hill, "Wall slip in polymer melts: A pseudo-chemical model," J. Rheol. 42, 581 (1998).
    • (1998) J. Rheol. , vol.42 , pp. 581
    • Hill, D.A.1
  • 43
    • 0029388269 scopus 로고
    • Direct measurements of slip in sheared polymer solutions
    • L. A. Archer, R. G. Larson, and Y. L. Chen, "Direct measurements of slip in sheared polymer solutions," J. Fluid Mech. 301, 133 (1995).
    • (1995) J. Fluid Mech. , vol.301 , pp. 133
    • Archer, L.A.1    Larson, R.G.2    Chen, Y.L.3
  • 44
    • 33748684733 scopus 로고
    • Wall slip of molten high density polyethylene. II. Capillary rheometer studies
    • S. G. Hatzikiriakos and J. M. Dealy, "Wall slip of molten high density polyethylene. II. Capillary rheometer studies," J. Rheol. 36, 703 (1992).
    • (1992) J. Rheol. , vol.36 , pp. 703
    • Hatzikiriakos, S.G.1    Dealy, J.M.2
  • 45
    • 0029310848 scopus 로고
    • A matched solution for corner flow of the upper converted Maxwell fluid
    • M. Renardy, "A matched solution for corner flow of the upper converted Maxwell fluid," J. Non-Newtonian Fluid Mech. 58, 83 (1995).
    • (1995) J. Non-Newtonian Fluid Mech. , vol.58 , pp. 83
    • Renardy, M.1
  • 46
    • 0027797691 scopus 로고
    • The flow of an Oldroyd fluid around a sharp corner
    • E. J. Hinch, "The flow of an Oldroyd fluid around a sharp corner," J. Non-Newtonian Fluid Mech. 50, 161 (1993).
    • (1993) J. Non-Newtonian Fluid Mech. , vol.50 , pp. 161
    • Hinch, E.J.1
  • 47
    • 0028993126 scopus 로고
    • The role of surface tension in the dominant balance in the die swell singularity
    • T. R. Salamon, D. E. Bornside, R. C. Armstrong, and R. A. Brown, "The role of surface tension in the dominant balance in the die swell singularity," Phys. Fluids 7, 2328 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 2328
    • Salamon, T.R.1    Bornside, D.E.2    Armstrong, R.C.3    Brown, R.A.4
  • 48
    • 0017518270 scopus 로고
    • A new constitutive equation derived from network theory
    • N. Phan-Thien and R. I. Tanner, "A new constitutive equation derived from network theory," J. Non-Newtonian Fluid Mech. 2, 353 (1977).
    • (1977) J. Non-Newtonian Fluid Mech. , vol.2 , pp. 353
    • Phan-Thien, N.1    Tanner, R.I.2
  • 49
    • 36849114667 scopus 로고
    • Stability of a relaxation-type viscoelastic fluid with slight elasticity
    • G. Tlapa and B. Bernstein, "Stability of a relaxation-type viscoelastic fluid with slight elasticity," Phys. Fluids 13, 565 (1971).
    • (1971) Phys. Fluids , vol.13 , pp. 565
    • Tlapa, G.1    Bernstein, B.2
  • 51
    • 0032051411 scopus 로고    scopus 로고
    • Effect of axial flow on viscoelastic Taylor-Couette instability
    • M. D. Graham, "Effect of axial flow on viscoelastic Taylor-Couette instability," J. Fluid Mech. 360, 341 (1998).
    • (1998) J. Fluid Mech. , vol.360 , pp. 341
    • Graham, M.D.1
  • 52
    • 84976849615 scopus 로고
    • The QZ algorithm to solve the generalized eigenvalue problem for complex matrices
    • B. S. Garbow, "The QZ algorithm to solve the generalized eigenvalue problem for complex matrices," ACM Trans. Math. Softw. 4, 404 (1978).
    • (1978) ACM Trans. Math. Softw. , vol.4 , pp. 404
    • Garbow, B.S.1
  • 53
    • 0000064075 scopus 로고
    • On a linear instability of a plane parallel Couette flow of viscoelastic fluid
    • V. A. Gorodtsov and A. I. Leonov, "On a linear instability of a plane parallel Couette flow of viscoelastic fluid," J. Appl. Math. Mech. 31, 310 (1967).
    • (1967) J. Appl. Math. Mech. , vol.31 , pp. 310
    • Gorodtsov, V.A.1    Leonov, A.I.2
  • 54
    • 0030892163 scopus 로고    scopus 로고
    • High Weissenberg number boundary layers for the upper convected Maxwell fluid
    • M. Renardy, "High Weissenberg number boundary layers for the upper convected Maxwell fluid," J. Non-Newtonian Fluid Mech. 68, 125 (1997).
    • (1997) J. Non-Newtonian Fluid Mech. , vol.68 , pp. 125
    • Renardy, M.1
  • 55
    • 84919816291 scopus 로고
    • Wall slip and extrudate distortion in linear low-density polyethylene
    • D. S. Kalika and M. M. Denn, "Wall slip and extrudate distortion in linear low-density polyethylene," J. Rheol. 31, 815 (1987).
    • (1987) J. Rheol. , vol.31 , pp. 815
    • Kalika, D.S.1    Denn, M.M.2
  • 56
    • 0000867475 scopus 로고
    • The influence of materials of construction on biconical rotor and capillary measurements of shear viscosity of rubber and its compounds and considerations of slippage
    • J. L. White, M. H. Han, N. Nakajima, and R. Brzoskowski, "The influence of materials of construction on biconical rotor and capillary measurements of shear viscosity of rubber and its compounds and considerations of slippage," J. Rheol. 35, 167 (1991).
    • (1991) J. Rheol. , vol.35 , pp. 167
    • White, J.L.1    Han, M.H.2    Nakajima, N.3    Brzoskowski, R.4
  • 57
    • 0026835363 scopus 로고
    • Ill-posedness at the boundary for elastic solids sliding under Coulomb friction
    • M. Renardy, "Ill-posedness at the boundary for elastic solids sliding under Coulomb friction," J. Elast. 27, 281 (1992).
    • (1992) J. Elast. , vol.27 , pp. 281
    • Renardy, M.1
  • 59
    • 0031190821 scopus 로고    scopus 로고
    • Experimental characterization of sharkskin in polyethylenes
    • C. Venet and B. Vergnes, "Experimental characterization of sharkskin in polyethylenes," J. Rheol. 41, 873 (1997).
    • (1997) J. Rheol. , vol.41 , pp. 873
    • Venet, C.1    Vergnes, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.