메뉴 건너뛰기




Volumn 51, Issue 4, 2005, Pages 325-338

Secondary flow in non-isothermal viscoelastic parallel-plate flow

Author keywords

Parallel plate; Secondary flow; Viscoelastic; Viscous heating

Indexed keywords

BOUNDARY VALUE PROBLEMS; FOURIER TRANSFORMS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; VISCOELASTICITY;

EID: 18144363048     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10665-005-0962-2     Document Type: Article
Times cited : (10)

References (31)
  • 2
    • 20344390555 scopus 로고
    • Chapman and Hall London
    • K. Walters 1975 Rhoemetry Chapman and Hall London 278
    • (1975) Rhoemetry , pp. 278
    • Walters, K.1
  • 4
    • 2542628656 scopus 로고
    • Secondary flow in a parallel-disk viscometer
    • D.H. McCoy and M.M. Denn 1971 Secondary flow in a parallel-disk viscometer Rheol. Acta 10 408-411
    • (1971) Rheol. Acta , vol.10 , pp. 408-411
    • McCoy, D.H.1    Denn, M.M.2
  • 5
    • 0016351191 scopus 로고
    • Slow motion and viscometric motion; stability and bifurcation of the rest of a simple fluid
    • 10.1007/BF00248137
    • D.D. Joseph 1974 Slow motion and viscometric motion; stability and bifurcation of the rest of a simple fluid Arch. Rat. Mech. Anal. 56 99-157 10.1007/BF00248137
    • (1974) Arch. Rat. Mech. Anal. , vol.56 , pp. 99-157
    • Joseph, D.D.1
  • 6
    • 0026157085 scopus 로고
    • Free surface effects in torsional parallel-plate rheometry
    • 10.1021/ie00053a014 1:CAS:528:DyaK3MXitV2ktLk%3D
    • R.W.G. Shipman M.M. Denn and R. Keunings 1991 Free surface effects in torsional parallel-plate rheometry Ind. Engng. Chem. Res. 30 918-922 10.1021/ie00053a014 1:CAS:528:DyaK3MXitV2ktLk%3D
    • (1991) Ind. Engng. Chem. Res. , vol.30 , pp. 918-922
    • Shipman, R.W.G.1    Denn, M.M.2    Keunings, R.3
  • 7
    • 0023725060 scopus 로고
    • The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension
    • D.M. Tidd R.W. Thatcher and A. Kaye 1988 The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension. Int J. Numer. Meth. 8 1011-1027
    • (1988) Int. J. Numer. Meth. , vol.8 , pp. 1011-1027
    • Tidd, D.M.1    Thatcher, R.W.2    Kaye, A.3
  • 8
    • 0028367294 scopus 로고
    • Effect of free surface and inertia on viscoelastic parallel plate flow
    • 10.1122/1.550509 1:CAS:528:DyaK2cXktFakurw%3D
    • D.O. Olagunju 1994 Effect of free surface and inertia on viscoelastic parallel plate flow J. Rheol. 38 151-168 10.1122/1.550509 1:CAS:528:DyaK2cXktFakurw%3D
    • (1994) J. Rheol. , vol.38 , pp. 151-168
    • Olagunju, D.O.1
  • 9
    • 0026223132 scopus 로고
    • Observations of elastic instability in cone-and-plate and parallel-plate flows of polyisobutylene Boger fluid
    • 10.1016/0377-0257(91)85013-9 1:CAS:528:DyaK3MXmvVaksbw%3D
    • G.H. McKinley J.A. Byars R.A. Brown and R.C. Armstrong 1991 Observations of elastic instability in cone-and-plate and parallel-plate flows of polyisobutylene Boger fluid. J. Non-Newt Fluid Mech. 40 201-229 10.1016/ 0377-0257(91)85013-9 1:CAS:528:DyaK3MXmvVaksbw%3D
    • (1991) J. Non-Newt Fluid Mech. , vol.40 , pp. 201-229
    • McKinley, G.H.1    Byars, J.A.2    Brown, R.A.3    Armstrong, R.C.4
  • 10
    • 21844518734 scopus 로고
    • Elastic instabilities in cone-and-plate flow: Small gap theory
    • 10.1007/BF00917879
    • D.O. Olagunju 1995 Elastic instabilities in cone-and-plate flow: Small gap theory ZAMP 46 946-959 10.1007/BF00917879
    • (1995) ZAMP , vol.46 , pp. 946-959
    • Olagunju, D.O.1
  • 11
    • 0035071890 scopus 로고    scopus 로고
    • Non-isothermal modification of purely elastic flow instabilities in torsional flow of polymeric fluids
    • 10.1063/1.1338540 1:CAS:528:DC%2BD3MXns1Sjsw%3D%3D
    • J.P. Rothstein and G.H. McKinley 2001 Non-isothermal modification of purely elastic flow instabilities in torsional flow of polymeric fluids Phys. Fluids 13 382-396 10.1063/1.1338540 1:CAS:528:DC%2BD3MXns1Sjsw%3D%3D
    • (2001) Phys. Fluids , vol.13 , pp. 382-396
    • Rothstein, J.P.1    McKinley, G.H.2
  • 12
    • 0037084346 scopus 로고    scopus 로고
    • Effect of viscous heating on linear stability of viscoelastic cone-and-plate flow: Axisymmetric case
    • 10.1016/S0377-0257(01)00185-9 1:CAS:528:DC%2BD38XmsFSntQ%3D%3D
    • D.O. Olagunju L.P. Cook and G.H. McKinley 2002 Effect of viscous heating on linear stability of viscoelastic cone-and-plate flow: Axisymmetric case J. Non-Newt. Fluid Mech. 102 321-342 10.1016/S0377-0257(01)00185-9 1:CAS:528:DC%2BD38XmsFSntQ%3D%3D
    • (2002) J. Non-Newt. Fluid Mech. , vol.102 , pp. 321-342
    • Olagunju, D.O.1    Cook, L.P.2    McKinley, G.H.3
  • 13
    • 0028461866 scopus 로고
    • Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks
    • 1:CAS:528:DyaK2cXls1Sjt7c%3D
    • J.A. Byars A. Oztekin R.A. Brown and G.H. McKinley 1994 Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks J. Fluid Mech. 271 173-218 1:CAS:528:DyaK2cXls1Sjt7c%3D
    • (1994) J. Fluid Mech. , vol.271 , pp. 173-218
    • Byars, J.A.1    Oztekin, A.2    Brown, R.A.3    McKinley, G.H.4
  • 14
    • 0029239944 scopus 로고
    • Self-similar spiral instabilities in elastic flows between a cone and a plate
    • 1:CAS:528:DyaK2MXlsFOlt7Y%3D
    • G.H. McKinley A. Oztekin J.A. Byars and R.A. Brown 1995 Self-similar spiral instabilities in elastic flows between a cone and a plate J. Fluid Mech. 285 123-164 1:CAS:528:DyaK2MXlsFOlt7Y%3D
    • (1995) J. Fluid Mech. , vol.285 , pp. 123-164
    • McKinley, G.H.1    Oztekin, A.2    Byars, J.A.3    Brown, R.A.4
  • 15
    • 0031519789 scopus 로고    scopus 로고
    • Hopf bifurcation in creeping cone-and-plate flow of a viscoelastic fluid
    • 10.1007/s000330050038
    • D.O. Olagunju 1997 Hopf bifurcation in creeping cone-and-plate flow of a viscoelastic fluid ZAMP 48 361-369 10.1007/s000330050038
    • (1997) ZAMP , vol.48 , pp. 361-369
    • Olagunju, D.O.1
  • 16
    • 0343541555 scopus 로고
    • Viscous heating correction for thermally developing flows in slit die viscometry
    • 10.1007/BF00404195 1:CAS:528:DyaK3MXmsF2jtLs%3D
    • Y.S. Ko and A.S. Lodge 1991 Viscous heating correction for thermally developing flows in slit die viscometry Rheol. Acta 30 357-368 10.1007/ BF00404195 1:CAS:528:DyaK3MXmsF2jtLs%3D
    • (1991) Rheol. Acta , vol.30 , pp. 357-368
    • Ko, Y.S.1    Lodge, A.S.2
  • 17
    • 84953658269 scopus 로고
    • The viscous heating correction for viscometric flows
    • 10.1122/1.548925 1:CAS:528:DyaF3sXisFaqtQ%3D%3D
    • E.A. Kearsley 1962 The viscous heating correction for viscometric flows Trans Soc. Rheol. 6 253-261 10.1122/1.548925 1:CAS:528:DyaF3sXisFaqtQ%3D%3D
    • (1962) Trans. Soc. Rheol. , vol.6 , pp. 253-261
    • Kearsley, E.A.1
  • 18
    • 0038767530 scopus 로고
    • Viscous heating effects in a cone and plate viscometer
    • 10.1016/0009-2509(62)80034-7
    • R.B. Bird and R.M. Turian 1963 Viscous heating effects in a cone and plate viscometer Chem. Engng. Sci. 17 331-334 10.1016/ 0009-2509(62)80034-7
    • (1963) Chem. Engng. Sci. , vol.17 , pp. 331-334
    • Bird, R.B.1    Turian, R.M.2
  • 19
    • 0000793877 scopus 로고
    • Viscous heating in the cone-and-plate viscometer - II, Newtonian fluids with temperature-dependent viscosity and thermal conductivity
    • 10.1016/0009-2509(63)85048-4 1:CAS:528:DyaF2cXislehsA%3D%3D
    • R.M. Turian and R.B. Bird 1963 Viscous heating in the cone-and-plate viscometer - II, Newtonian fluids with temperature-dependent viscosity and thermal conductivity Chem. Engng. Sci. 18 689-696 10.1016/ 0009-2509(63)85048-4 1:CAS:528:DyaF2cXislehsA%3D%3D
    • (1963) Chem. Engng. Sci. , vol.18 , pp. 689-696
    • Turian, R.M.1    Bird, R.B.2
  • 20
    • 0008529570 scopus 로고
    • Viscous heating in the cone-and-plate viscometer - III, Non-Newtonian fluids with temperature-dependent viscosity and thermal conductivity
    • 10.1016/0009-2509(65)80064-1 1:CAS:528:DyaF1cXitlSkug%3D%3D
    • R.M. Turian 1965 Viscous heating in the cone-and-plate viscometer - III, Non-Newtonian fluids with temperature-dependent viscosity and thermal conductivity Chem. Engng. Sci. 20 771-781 10.1016/0009-2509(65)80064-1 1:CAS:528:DyaF1cXitlSkug%3D%3D
    • (1965) Chem. Engng. Sci. , vol.20 , pp. 771-781
    • Turian, R.M.1
  • 21
    • 0037644713 scopus 로고    scopus 로고
    • Analytical solutions for non-isothermal viscoelastic torsional flow in a bounded domain
    • 10.1016/S0377-0257(03)00062-4 1:CAS:528:DC%2BD3sXjvVOiur4%3D
    • D.O. Olagunju 2003 Analytical solutions for non-isothermal viscoelastic torsional flow in a bounded domain J.Non-Newt. Fluid Mech. 112 85-100 10.1016/S0377-0257(03)00062-4 1:CAS:528:DC%2BD3sXjvVOiur4%3D
    • (2003) J.Non-Newt. Fluid Mech. , vol.112 , pp. 85-100
    • Olagunju, D.O.1
  • 22
    • 0036660488 scopus 로고    scopus 로고
    • Effect of viscous dissipation on polymeric flows between two rotating coaxial parallel discs
    • 10.1016/S0735-1933(02)00378-0 1:CAS:528:DC%2BD38XmvF2ks7Y%3D
    • B. Yesilata 2002 Effect of viscous dissipation on polymeric flows between two rotating coaxial parallel discs Int. Comm. Heat Mass Transfer no. 29 589-600 10.1016/S0735-1933(02)00378-0 1:CAS:528:DC%2BD38XmvF2ks7Y%3D
    • (2002) Int. Comm. Heat Mass Transfer , Issue.29 , pp. 589-600
    • Yesilata, B.1
  • 24
    • 0000798646 scopus 로고    scopus 로고
    • Influence of energetics on the stability of viscoelastic Taylor-Couette flow
    • 10.1063/1.870183 1:CAS:528:DyaK1MXmslKgsLs%3D
    • U.A. Al-Mubaiyedh R. Sureshkumar and B. Khomami 1999 Influence of energetics on the stability of viscoelastic Taylor-Couette flow Phys. Fluids 11 3217-3226 10.1063/1.870183 1:CAS:528:DyaK1MXmslKgsLs%3D
    • (1999) Phys. Fluids , vol.11 , pp. 3217-3226
    • Al-Mubaiyedh, U.A.1    Sureshkumar, R.2    Khomami, B.3
  • 25
    • 84955047984 scopus 로고
    • Modelling the rheology of polyisobutylene solutions
    • 10.1122/1.550148
    • L.M. Quinzani R.A. Brown G.H. McKinley and R.C. Armstrong 1991 Modelling the rheology of polyisobutylene solutions J. Rheol. 34 705-748 10.1122/ 1.550148
    • (1991) J. Rheol. , vol.34 , pp. 705-748
    • Quinzani, L.M.1    Brown, R.A.2    McKinley, G.H.3    Armstrong, R.C.4
  • 27
    • 0034253440 scopus 로고    scopus 로고
    • The stability of viscoelastic creeping plane shear flows with viscous heating
    • 10.1016/S0377-0257(00)00091-4 1:CAS:528:DC%2BD3cXisFaktrg%3D
    • L.E. Becker and G.H. McKinley 2000 The stability of viscoelastic creeping plane shear flows with viscous heating J. Non-Newt. Fluid Mech. 92 109-133 10.1016/S0377-0257(00)00091-4 1:CAS:528:DC%2BD3cXisFaktrg%3D
    • (2000) J. Non-Newt. Fluid Mech. , vol.92 , pp. 109-133
    • Becker, L.E.1    McKinley, G.H.2
  • 28
    • 0001094559 scopus 로고
    • Multiple solutions and hysteresis in steady parallel viscous flows
    • 10.1063/1.864265 1:CAS:528:DyaL3sXkslartbs%3D
    • S.H. Davis G.A. Kriegsman R.L. Laurence and S. Rosenblat 1983 Multiple solutions and hysteresis in steady parallel viscous flows Phys. Fluids 26 1177-1181 10.1063/1.864265 1:CAS:528:DyaL3sXkslartbs%3D
    • (1983) Phys. Fluids , vol.26 , pp. 1177-1181
    • Davis, S.H.1    Kriegsman, G.A.2    Laurence, R.L.3    Rosenblat, S.4
  • 29
    • 0000069452 scopus 로고    scopus 로고
    • Viscous heating and the stability of Newtonian and viscoelastic Taylor-Couette flows
    • 10.1103/PhysRevLett.84.5130
    • J.M. White and S.J. Muller 2000 Viscous heating and the stability of Newtonian and viscoelastic Taylor-Couette flows Phys.Rev. Lett. 22 5130-5133 10.1103/PhysRevLett.84.5130
    • (2000) Phys. Rev. Lett. , vol.22 , pp. 5130-5133
    • White, J.M.1    Muller, S.J.2
  • 30
    • 0000518321 scopus 로고
    • Viscous heating in plane and circular flow between moving surfaces
    • 10.1021/i160026a011 1:CAS:528:DyaF1cXhtVKgt7Y%3D
    • J. Gavis and R.L. Laurence 1968 Viscous heating in plane and circular flow between moving surfaces Ind. Eng. Chem. Fundam 7 232-239 10.1021/ i160026a011 1:CAS:528:DyaF1cXhtVKgt7Y%3D
    • (1968) Ind. Eng. Chem. Fundam , vol.7 , pp. 232-239
    • Gavis, J.1    Laurence, R.L.2
  • 31
    • 20344391446 scopus 로고    scopus 로고
    • A fourth-order eigenvalue problem arising in viscoelastic flow
    • To appear in press
    • Olagunju D.O., A fourth-order eigenvalue problem arising in viscoelastic flow. To appear Applied Math. Lett. in press.
    • Applied Math. Lett.
    • Olagunju, D.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.