메뉴 건너뛰기




Volumn 660, Issue , 2010, Pages 316-353

Weakly nonlinear dynamics of thermoconvective instability involving viscoplastic fluids

Author keywords

convection; instability; non Newtonian flows

Indexed keywords

BIFURCATION (MATHEMATICS); HEAT CONVECTION; LINEAR STABILITY ANALYSIS; NONLINEAR ANALYSIS; PLASMA STABILITY; PLASTIC FLOW; VISCOPLASTICITY; VISCOSITY; YIELD STRESS;

EID: 77957170603     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010002788     Document Type: Article
Times cited : (16)

References (33)
  • 1
    • 65249105364 scopus 로고    scopus 로고
    • Finite-amplitude Rayleigh-Bénard convection for weaklyshear thinning fluids
    • Albaalbaki, B. & Khayat, R. E. 2008 Finite-amplitude Rayleigh-Bénard convection for weaklyshear thinning fluids. J. Phys.: Conf. Ser. 137, 012024.
    • (2008) J. Phys.: Conf. Ser. , vol.137 , pp. 012024
    • Albaalbaki, B.1    Khayat, R.E.2
  • 2
    • 0009186864 scopus 로고    scopus 로고
    • Shear-thinning-induced chaos in Taylor-Couette flow
    • Ashrafi, N. & Khayat, R. E. 1999 Shear-thinning-induced chaos in Taylor-Couette flow. Phys.Rev. E 61 (2), 1455-1567.
    • (1999) Phys.Rev. e , vol.61 , Issue.2 , pp. 1455-1567
    • Ashrafi, N.1    Khayat, R.E.2
  • 3
    • 62549097784 scopus 로고    scopus 로고
    • Weakly nonlinear viscoplastic convection
    • Balmforth, N. & Rust, A. 2009 Weakly nonlinear viscoplastic convection. J. Non-Newton. FluidMech. 158 (1-3), 36-45.
    • (2009) J. Non-Newton. FluidMech. , vol.158 , Issue.1-3 , pp. 36-45
    • Balmforth, N.1    Rust, A.2
  • 5
    • 0035508894 scopus 로고    scopus 로고
    • Transverse-roll global modes in a Rayleigh-Bénard-Poiseuillesystem with streamwise variable heating
    • Carrière P.,Monkewitz P., 2001, Transverse-roll global modes in a Rayleigh-Bénard-Poiseuillesystem with streamwise variable heating, Eur. J. Mech. B Fluids, 20, 751-770
    • (2001) Eur. J. Mech. B Fluids , vol.20 , pp. 751-770
    • Carrière, P.1    Monkewitz, P.2
  • 6
    • 60549113506 scopus 로고    scopus 로고
    • Finite-amplitude long-wave instability of Bingham liquid films
    • Cheng, P. J. & Lai, H. Y. 2008 Finite-amplitude long-wave instability of Bingham liquid films.Nonlinear Anal.: Real World Appl. 10, 1500-1513.
    • (2008) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 1500-1513
    • Cheng, P.J.1    Lai, H.Y.2
  • 7
  • 8
    • 0642336993 scopus 로고
    • The equivalence between two perturbation methods in weakly nonlinear stabilitytheory for parallel shear flows
    • Fujimura, K. 1989 The equivalence between two perturbation methods in weakly nonlinear stabilitytheory for parallel shear flows. Proc. R. Soc. Lond. Ser. A 424, 373-392
    • (1989) Proc. R. Soc. Lond. Ser. A , vol.424 , pp. 373-392
    • Fujimura, K.1
  • 9
    • 0030917389 scopus 로고    scopus 로고
    • Center manifold reduction and the Stuart-Landau equation for fluid motions
    • Fujimura, K. 1997 Center manifold reduction and the Stuart-Landau equation for fluid motions.Proc. R. Soc. Lond. Ser. A 453, 181-203.
    • (1997) Proc. R. Soc. Lond. Ser. A , vol.453 , pp. 181-203
    • Fujimura, K.1
  • 10
    • 0003051834 scopus 로고
    • The stability of thermally stratified plane Poiseuille flow
    • Gage, K. S. & Reid, W. H. 1968 The stability of thermally stratified plane Poiseuille flow. J. FluidMech. 33, 21-32.
    • (1968) J. FluidMech. , vol.33 , pp. 21-32
    • Gage, K.S.1    Reid, W.H.2
  • 11
    • 69149086901 scopus 로고    scopus 로고
    • The range of validity of weakly nonlinear theory in theRayleigh- Bénard problem
    • Generalis, S. C. & Fujimura, K. 2009 The range of validity of weakly nonlinear theory in theRayleigh-Bénard problem. J. Phys. Soc. Japan 78 (8), 084401.
    • (2009) J. Phys. Soc. Japan , vol.78 , Issue.8 , pp. 084401
    • Generalis, S.C.1    Fujimura, K.2
  • 12
    • 0242330424 scopus 로고
    • Stability of two and three dimensional viscoplastic flows and generalizedSquire theorem
    • Georgievskii, D. V. 1993 Stability of two and three dimensional viscoplastic flows and generalizedSquire theorem. Isv. AN SSSR Mekh. Tverdogo Tela. 28, 117-123.
    • (1993) Isv. AN SSSR Mekh. Tverdogo Tela. , vol.28 , pp. 117-123
    • Georgievskii, D.V.1
  • 13
    • 0036589044 scopus 로고    scopus 로고
    • Weakly non-linear dynamics of interface propagation
    • Gross, L. K. 2002 Weakly non-linear dynamics of interface propagation. Stud. Appl. Math. 108,323-350.
    • (2002) Stud. Appl. Math. , vol.108 , pp. 323-350
    • Gross, L.K.1
  • 14
    • 0018994409 scopus 로고
    • Nonlinear stability of parallel flows by high-order amplitude expansions
    • Herbert, T. 1980 Nonlinear stability of parallel flows by high-order amplitude expansions. AIAAJ. 18 (3), 243-248.
    • (1980) AIAAJ. , vol.18 , Issue.3 , pp. 243-248
    • Herbert, T.1
  • 15
    • 0020588541 scopus 로고
    • On perturbation methods in nonlinear stability theory
    • Herbert, T. 1983 On perturbation methods in nonlinear stability theory. J. Fluid Mech. 126, 167-186.
    • (1983) J. Fluid Mech. , vol.126 , pp. 167-186
    • Herbert, T.1
  • 16
    • 0029328892 scopus 로고
    • On the determination of the plug flow region in Binghamfluids through the application of variational inequalities
    • Huilgol, R. R. & Panizza, M. P. 1995 On the determination of the plug flow region in Binghamfluids through the application of variational inequalities. J. Non-Newton. Fluids Mech. 58,207-217.
    • (1995) J. Non-Newton. Fluids Mech. , vol.58 , pp. 207-217
    • Huilgol, R.R.1    Panizza, M.P.2
  • 17
    • 0030114771 scopus 로고    scopus 로고
    • Chaos in thermal convection of weakly shear-thinning fluids
    • Khayat, R. E. 1996 Chaos in thermal convection of weakly shear-thinning fluids. J. Non-Newton.Fluid Mech. 63, 153-178.
    • (1996) J. Non-Newton.Fluid Mech. , vol.63 , pp. 153-178
    • Khayat, R.E.1
  • 18
    • 0037987476 scopus 로고    scopus 로고
    • Solution of the nonlinear equations of cellular convection and heat transport
    • Kuo, H. L. 1996 Solution of the nonlinear equations of cellular convection and heat transport.J. Fluid Mech. 10, 611-634.
    • (1996) J. Fluid Mech. , vol.10 , pp. 611-634
    • Kuo, H.L.1
  • 19
    • 84915923119 scopus 로고
    • Finite amplitude cellular convection
    • Malkus, W. V. R. & Veronis, G. 1958 Finite amplitude cellular convection. J. Fluid Mech. 4,225-260.
    • (1958) J. Fluid Mech. , vol.4 , pp. 225-260
    • Malkus, W.V.R.1    Veronis, G.2
  • 20
    • 33646802271 scopus 로고    scopus 로고
    • Three-dimensional global instability modesassociated with a localized hot spot in Rayleigh-Bénard-Poiseuille convection
    • Martinand, D., Carrière, P. & Monkewitz, P. 2006 Three-dimensional global instability modesassociated with a localized hot spot in Rayleigh-Bénard-Poiseuille convection. J. Fluid Mech.551, 275-301.
    • (2006) J. Fluid Mech. , vol.551 , pp. 275-301
    • Martinand, D.1    Carrière, P.2    Monkewitz, P.3
  • 21
    • 62549125452 scopus 로고    scopus 로고
    • Non-linear stability of the Bingham-Rayleigh-Bénard Poiseuille flow
    • Métivier, C., Frigaard, I. A. & Nouar, C. 2009 Non-linear stability of the Bingham-Rayleigh-Bénard Poiseuille flow. J. Non-Newton. Fluid Mech. 158, 127-131.
    • (2009) J. Non-Newton. Fluid Mech. , vol.158 , pp. 127-131
    • Métivier, C.1    Frigaard, I.A.2    Nouar, C.3
  • 22
    • 55949126262 scopus 로고    scopus 로고
    • On linear stability of Rayleigh-Bénard Poiseuille flow of viscoplasticfluids
    • 7
    • Métivier, C. & Nouar, C. 2008 On linear stability of Rayleigh-Bénard Poiseuille flow of viscoplasticfluids. Phys. Fluids 20 (10), 104106.1-104106.7.
    • (2008) Phys. Fluids , vol.20 , Issue.10 , pp. 1041061-1104106
    • Métivier, C.1    Nouar, C.2
  • 23
    • 33645781324 scopus 로고    scopus 로고
    • Linear stability involving the Bingham modelwhen the yield stress approaches zero
    • 14
    • Métivier, C., Nouar, C. & Brancher, J. P. 2005 Linear stability involving the Bingham modelwhen the yield stress approaches zero. Phys. Fluids 17 (10), 104101.1-104101.14.
    • (2005) Phys. Fluids , vol.17 , Issue.10 , pp. 1041011-1104101
    • Métivier, C.1    Nouar, C.2    Brancher, J.P.3
  • 24
    • 84956088547 scopus 로고
    • Convective patterns in horizontal flow
    • Müller, H. W., Lücke, M. & Kamps, M. 1989 Convective patterns in horizontal flow. Europhys.Lett. 10 (5), 451.
    • (1989) Europhys.Lett. , vol.10 , Issue.5 , pp. 451
    • Müller, H.W.1    Lücke, M.2    Kamps, M.3
  • 25
    • 19244376399 scopus 로고    scopus 로고
    • Revue bibliographique sur les écoulements de Poiseuille-Rayleigh- Bénard:écoulements de convection mixte en conduites rectangulaires horizontales chauffées par lebas
    • Nicolas, X. 2002 Revue bibliographique sur les écoulements de Poiseuille-Rayleigh-Bénard:écoulements de convection mixte en conduites rectangulaires horizontales chauffées par lebas. Intl J. Therm. Sci. 41, 961-1016.
    • (2002) Intl J. Therm. Sci. , vol.41 , pp. 961-1016
    • Nicolas, X.1
  • 26
    • 84959618660 scopus 로고
    • Two-dimensional plastic flow of a Bingham solid
    • Oldroyd, J. G. 1947a Two-dimensional plastic flow of a Bingham solid. Proc. Camb. Phil. Soc. 43,383-395.
    • (1947) Proc. Camb. Phil. Soc. , vol.43 , pp. 383-395
    • Oldroyd, J.G.1
  • 27
    • 84959724867 scopus 로고
    • A rational formulation of the equations of plastic flow for a Bingham solid
    • Oldroyd, J. G. 1947b A rational formulation of the equations of plastic flow for a Bingham solid.Proc. Camb. Phil. Soc. 43, 100-105.
    • (1947) Proc. Camb. Phil. Soc. , vol.43 , pp. 100-105
    • Oldroyd, J.G.1
  • 28
    • 0029256882 scopus 로고
    • Etude de la convection mixteentre deux plans horizontaux à températures différentes III
    • Ouazzani, M. T., Platten, J. K., Müller, H. W. & Lücke, M. 1994 Etude de la convection mixteentre deux plans horizontaux à températures différentes III. Intl J. Heat Mass Transfer 38(5), 875-886.
    • (1994) Intl J. Heat Mass Transfer , vol.38 , Issue.5 , pp. 875-886
    • Ouazzani, M.T.1    Platten, J.K.2    Müller, H.W.3    Lücke, M.4
  • 29
    • 0015129169 scopus 로고
    • A variational formulation for the stability of flows with temperature gradients
    • Platten, J. K. 1971 A variational formulation for the stability of flows with temperature gradients.Intl Engng Sci. 9, 855-869.
    • (1971) Intl Engng Sci. , vol.9 , pp. 855-869
    • Platten, J.K.1
  • 30
    • 84974200488 scopus 로고
    • Finite-amplitude instability of parallel shear flows
    • Reynolds, W. C. & Potter, M. C. 1967 Finite-amplitude instability of parallel shear flows. J. FluidMech. 27, 465-492.
    • (1967) J. FluidMech. , vol.27 , pp. 465-492
    • Reynolds, W.C.1    Potter, M.C.2
  • 32
    • 22544447650 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal viscoplasticwaxy crude oil flows
    • Vinay, G., Wachs, A. & Agassant, J. F. 2005 Numerical simulation of non-isothermal viscoplasticwaxy crude oil flows. J. Non-Newton. Fluid Mech. 128, 144-162.
    • (2005) J. Non-Newton. Fluid Mech. , vol.128 , pp. 144-162
    • Vinay, G.1    Wachs, A.2    Agassant, J.F.3
  • 33
    • 33749573428 scopus 로고    scopus 로고
    • Yield stress effects on Rayleigh-Bénard convection
    • Zhang, J., Vola, D. & Frigaard, I. A. 2006 Yield stress effects on Rayleigh-Bénard convection. J.Fluid Mech. 566, 389-419.
    • (2006) J.Fluid Mech. , vol.566 , pp. 389-419
    • Zhang, J.1    Vola, D.2    Frigaard, I.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.