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Volumn 16, Issue 3, 2004, Pages 551-568

Soret effect inducing subcritical and Hopf bifurcations in a shallow enclosure filled with a clear binary fluid or a saturated porous medium: A comparative study

Author keywords

[No Author keywords available]

Indexed keywords

ABUTMENTS (BRIDGE); BIFURCATION (MATHEMATICS); FINITE DIFFERENCE METHOD; HEAT CONVECTION; POROUS MATERIALS; RAYLEIGH SCATTERING; TEMPERATURE MEASUREMENT; THERMAL DIFFUSION; THERMOSETS; VISCOSITY OF LIQUIDS;

EID: 1842854044     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1636727     Document Type: Article
Times cited : (47)

References (33)
  • 1
    • 0037176322 scopus 로고    scopus 로고
    • Bounds on Rayleigh-Bénard convection with an imposed heat flux
    • J. Otero, R. W. Wittenberg, R. A. Worthing, and C. R. Doering, "Bounds on Rayleigh-Bénard convection with an imposed heat flux," J. Fluid Mech. 473, 191 (2002).
    • (2002) J. Fluid Mech. , vol.473 , pp. 191
    • Otero, J.1    Wittenberg, R.W.2    Worthing, R.A.3    Doering, C.R.4
  • 2
    • 0001617517 scopus 로고
    • Experimental observation of a codimension-two bifurcation in a binary fluid mixture
    • I. Rehberg and G. Ahlers, "Experimental observation of a codimensiontwo bifurcation in a binary fluid mixture," Phys. Rev. Lett. 55, 500 (1985).
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 500
    • Rehberg, I.1    Ahlers, G.2
  • 3
    • 0000633550 scopus 로고
    • Linear stability of experimental Soret convection
    • E. Knobloch and D. R. Moore, "Linear stability of experimental Soret convection," Phys. Rev. A 37, 860 (1988).
    • (1988) Phys. Rev. A , vol.37 , pp. 860
    • Knobloch, E.1    Moore, D.R.2
  • 4
    • 0001883615 scopus 로고    scopus 로고
    • Competing patterns in a convective binary mixture
    • E. Moses and V. Steinberg, "Competing patterns in a convective binary mixture," Phys. Rev. Lett. 57, 2018 (1996).
    • (1996) Phys. Rev. Lett , vol.57 , pp. 2018
    • Moses, E.1    Steinberg, V.2
  • 5
    • 0348239979 scopus 로고
    • Convective instability of a binary mixture particularly in the neighborhood of the critical point
    • V. A. Shteinberg, "Convective instability of a binary mixture particularly in the neighborhood of the critical point," J. Appl. Math. Mech. 35, 335 (1971).
    • (1971) J. Appl. Math. Mech. , vol.35 , pp. 335
    • Shteinberg, V.A.1
  • 6
    • 84959626232 scopus 로고
    • Soret-driven thermosolutal convection
    • D. T. Hurle and E. Jakernam, "Soret-driven thermosolutal convection," J. Fluid Mech. 47, 667 (1971).
    • (1971) J. Fluid Mech. , vol.47 , pp. 667
    • Hurle, D.T.1    Jakernam, E.2
  • 7
    • 84974074259 scopus 로고
    • The stability of a layer of binary gas mixture heated from below
    • M. L. Lawson and W. J. Yang, "The stability of a layer of binary gas mixture heated from below," J. Fluid Mech. 57, 103 (1973 ).
    • (1973) J. Fluid Mech. , vol.57 , pp. 103
    • Lawson, M.L.1    Yang, W.J.2
  • 8
    • 84975987933 scopus 로고
    • Oscillatory motion in Bénard cell due to the Soret effect
    • J. K. Platten and G. Chavepeyer, "Oscillatory motion in Bénard cell due to the Soret effect," J. Fluid Mech. 60, 305 (1973).
    • (1973) J. Fluid Mech. , vol.60 , pp. 305
    • Platten, J.K.1    Chavepeyer, G.2
  • 10
    • 0039092478 scopus 로고
    • Rayleigh-Bénard instability in nonreactive binary fluids. I. Results
    • D. Gutkowicz-Krusin, M. A. Collins, and J. Ross, "Rayleigh-Bénard instability in nonreactive binary fluids. I. Results," Phys. Fluids 22, 1443 (1979).
    • (1979) Phys. Fluids , vol.22 , pp. 1443
    • Gutkowicz-Krusin, D.1    Collins, M.A.2    Ross, J.3
  • 11
    • 1842839548 scopus 로고
    • Rayleigh-Bénard instability in nonreactive binary fluids. II. Results
    • D. Gutkowicz-Krusin, M. A. Collins, and J. Ross, "Rayleigh-Bénard instability in nonreactive binary fluids. II. Results," Phys. Fluids 22, 1451 (1979).
    • (1979) Phys. Fluids , vol.22 , pp. 1451
    • Gutkowicz-Krusin, D.1    Collins, M.A.2    Ross, J.3
  • 12
    • 0020829694 scopus 로고
    • Onset of Rayleigh-Bénard convection in binary liquid mixtures of 3He in 4He
    • G. W. T. Lee, P. Lugas, and A. Tyler, "Onset of Rayleigh-Bénard convection in binary liquid mixtures of 3He in 4He," J. Fluid Mech. 135, 235 (1983).
    • (1983) J. Fluid Mech. , vol.135 , pp. 235
    • Lee, G.W.T.1    Lugas, P.2    Tyler, A.3
  • 13
    • 35949006299 scopus 로고
    • Convection in binary fluid mixtures. I. Extended traveling-wave and stationary states
    • W. Barten, M. Lücke, M. Kamps, and R. Schnitz, "Convection in binary fluid mixtures. I. Extended traveling-wave and stationary states," Phys. Rev. E 51, 5636 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 5636
    • Barten, W.1    Lücke, M.2    Kamps, M.3    Schnitz, R.4
  • 14
    • 29444445902 scopus 로고
    • Convection in binary fluid mixtures. II. Localized traveling waves
    • W. Bar-ten, M. Lücke, M. Kamps, and R. Schnitz, "Convection in binary fluid mixtures. II. Localized traveling waves," Phys. Rev. E 51, 5662 (1995).
    • (1995) Phys. Rev. E , vol.51 , pp. 5662
    • Barten, W.1    Lücke, M.2    Kamps, M.3    Schnitz, R.4
  • 15
    • 0032620987 scopus 로고    scopus 로고
    • Onset of oscillatory fluid convection in finite containers
    • O. Batiste, I. Mercader, M. Net, and E. Knobloch, "Onset of oscillatory fluid convection in finite containers," Phys. Rev. E 59, 6730 (1999).
    • (1999) Phys. Rev. E , vol.59 , pp. 6730
    • Batiste, O.1    Mercader, I.2    Net, M.3    Knobloch, E.4
  • 16
    • 0004762378 scopus 로고
    • Convective instabilities in binary mixtures in a porous medium
    • H. Brand and V. Steinberg, "Convective instabilities in binary mixtures in a porous medium," Physica A 119, 327 (1983).
    • (1983) Physica A , vol.119 , pp. 327
    • Brand, H.1    Steinberg, V.2
  • 17
    • 0000080869 scopus 로고
    • Nonlinear effects in the convective instability of a binary mixture in a porous medium near threshold
    • H. Brand and V. Steinberg, "Nonlinear effects in the convective instability of a binary mixture in a porous medium near threshold," Phys. Lett. A 93, 333 (1983).
    • (1983) Phys. Lett. A , vol.93 , pp. 333
    • Brand, H.1    Steinberg, V.2
  • 18
    • 0039280131 scopus 로고
    • Amplitude equation near a polycritical point for the convective instability of a binary fluid mixture in a porous medium
    • H. Brand, P. C. Hohenberg, and V. Steinberg, "Amplitude equation near a polycritical point for the convective instability of a binary fluid mixture in a porous medium," Phys. Rev. A 27, 591 (1983).
    • (1983) Phys. Rev. A , vol.27 , pp. 591
    • Brand, H.1    Hohenberg, P.C.2    Steinberg, V.3
  • 19
    • 5544318532 scopus 로고
    • Codimension-2 bifurcations for convection in binary fluid mixtures
    • Brand, P. C. Hohenberg, and V. Steinberg, "Codimension-2 bifurcations for convection in binary fluid mixtures," Phys. Rev. A 30, 2548 (1984).
    • (1984) Phys. Rev. A , vol.30 , pp. 2548
    • Brand, H.1    Hohenberg, P.C.2    Steinberg, V.3
  • 20
    • 0001826510 scopus 로고
    • Convection in a binary mixture heated from below
    • G. Ahlers and I. Rehberg, "Convection in a binary mixture heated from below," Phys. Rev. Lett. 56, 1373 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1373
    • Ahlers, G.1    Rehberg, I.2
  • 21
    • 0022662882 scopus 로고
    • Binary fluid convection and doublediffusive convection in a porous medium
    • M. E. Taslim and U. Narusawa, "Binary fluid convection and doublediffusive convection in a porous medium," J. Heat Transfer 108, 221 (1986).
    • (1986) J. Heat Transfer , vol.108 , pp. 221
    • Taslim, M.E.1    Narusawa, U.2
  • 22
    • 0038941172 scopus 로고
    • Oscillatory convection in binary mixtures
    • E. Knobloch, "Oscillatory convection in binary mixtures," Phys. Rev. A 34, 1538 (1986).
    • (1986) Phys. Rev. A , vol.34 , pp. 1538
    • Knobloch, E.1
  • 23
    • 0026792317 scopus 로고
    • Convection onset for binary mixture in a porous medium and in a narrow cell: A comparison
    • W. Schöpf, "Convection onset for binary mixture in a porous medium and in a narrow cell: A comparison," J. Fluid Mech. 245, 263 (1992).
    • (1992) J. Fluid Mech. , vol.245 , pp. 263
    • Schöpf, W.1
  • 26
    • 0002480352 scopus 로고    scopus 로고
    • The fundamental theory of flows through permeable media from Darcy to turbulence
    • edited by D. B. Ingham and I. Pop (Pergamon, New York)
    • J. L. Lage, "The fundamental theory of flows through permeable media from Darcy to turbulence," in Transport Phenomena in Porous Media, edited by D. B. Ingham and I. Pop (Pergamon, New York, 1998). Vol. II.
    • (1998) Transport Phenomena in Porous Media , vol.2
    • Lage, J.L.1
  • 27
    • 0000765024 scopus 로고
    • The validity of the Boussinesq approximation for liquids and gases
    • D. D. Gray and A. Georgini, "The validity of the Boussinesq approximation for liquids and gases," Int. J. Heat Mass Transfer 19, 545 (1976).
    • (1976) Int. J. Heat Mass Transfer , vol.19 , pp. 545
    • Gray, D.D.1    Georgini, A.2
  • 28
    • 0027927079 scopus 로고
    • A determination of the effective viscosity for the Brinkman Forchheimer flow model
    • R. C. Gilver and S. A. Altobelli, "A determination of the effective viscosity for the Bfinkman Forchheimer flow model," J. Fluid Mech. 258. 355 (1994).
    • (1994) J. Fluid Mech. , vol.258 , pp. 355
    • Gilver, R.C.1    Altobelli, S.A.2
  • 29
    • 0344052676 scopus 로고    scopus 로고
    • Etude analytique et numér ique de la convection naturelle dans one couche poreuse de Brinkman doublement diffusive
    • A. Amahmid, M. Hasnaoui, and P. Vasseur, "Etude analytique et numér ique de la convection naturelle dans one couche poreuse de Brinkman doublement diffusive," Int. J. Heat Mass Transfer 42, 2991 (1999).
    • (1999) Int. J. Heat Mass Transfer , vol.42 , pp. 2991
    • Amahmid, A.1    Hasnaoui, M.2    Vasseur, P.3
  • 31
    • 0343462415 scopus 로고    scopus 로고
    • Double-diffusive parallel flow induced in a horizontal Brinkman porous layer subjected to constant heat and mass fluxes: Analytical and numerical studies
    • A. Amahmid, M. Hasnaoui, M. Mamou, and P. Vasseur, "Double-diffusive parallel flow induced in a horizontal Brinkman porous layer subjected to constant heat and mass fluxes: Analytical and numerical studies." Int. J. Heat Mass Transfer 35, 409 (1999).
    • (1999) Int. J. Heat Mass Transfer , vol.35 , pp. 409
    • Amahmid, A.1    Hasnaoui, M.2    Mamou, M.3    Vasseur, P.4
  • 32
    • 0035946474 scopus 로고    scopus 로고
    • On numerical stability analysis of double-diffusive convection in confined enclosures
    • M. Mamou, P. Vasseur, and M. Hasnaoui, "On numerical stability analysis of double-diffusive convection in confined enclosures," J. Fluid Mech. 433, 209 (2001)
    • (2001) J. Fluid Mech. , vol.433 , pp. 209
    • Mamou, M.1    Vasseur, P.2    Hasnaoui, M.3
  • 33
    • 0002423734 scopus 로고    scopus 로고
    • Thermosolutal bifurcation phenomena in porous enclosures subject to vertical temperature and concentration gradients
    • M. Mamou and P. Vasseur. "Thermosolutal bifurcation phenomena in porous enclosures subject to vertical temperature and concentration gradients," J. Fluid Mech. 395, 61 (1999).
    • (1999) J. Fluid Mech. , vol.395 , pp. 61
    • Mamou, M.1    Vasseur, P.2


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