메뉴 건너뛰기




Volumn 560, Issue , 2006, Pages 229-241

Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh-Bénard convection

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; NUMERICAL METHODS; NUSSELT NUMBER; PRANDTL NUMBER;

EID: 33748268887     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006000097     Document Type: Article
Times cited : (102)

References (35)
  • 1
    • 31144435555 scopus 로고    scopus 로고
    • Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number
    • 121701
    • Amati, G., Koal, K., Massaioli, F., Sreenivasan, K. R. & Verzicco, R. 2005 Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number. Phys. Fluids 17, 121701.
    • (2005) Phys. Fluids , vol.17
    • Amati, G.1    Koal, K.2    Massaioli, F.3    Sreenivasan, K.R.4    Verzicco, R.5
  • 3
    • 0014543531 scopus 로고
    • On Howard's upper bound for heat transport by turbulent convection
    • Busse, F. H. 1969 On Howard's upper bound for heat transport by turbulent convection. J. Fluid Mech. 37, 457-477.
    • (1969) J. Fluid Mech. , vol.37 , pp. 457-477
    • Busse, F.H.1
  • 4
    • 0018206672 scopus 로고
    • The optimum theory of turbulence
    • Busse, F. H. 1978 The optimum theory of turbulence. Adv. Appl. Mech. 18, 77-121.
    • (1978) Adv. Appl. Mech. , vol.18 , pp. 77-121
    • Busse, F.H.1
  • 5
    • 0015037568 scopus 로고
    • Infinite Prandtl number turbulent convection
    • Chan, S. K. 1971 Infinite Prandtl number turbulent convection. Stud. Appl. Maths 50, 13-49.
    • (1971) Stud. Appl. Maths , vol.50 , pp. 13-49
    • Chan, S.K.1
  • 7
    • 3242730251 scopus 로고    scopus 로고
    • Ultimate regime in Rayleigh-Bénard convection: The role of plates
    • Chilla, F., Rastello, M. & Chaumat, S. 2004 Ultimate regime in Rayleigh-Bénard convection: The role of plates. Phys. Fluids 16, 2452-2456.
    • (2004) Phys. Fluids , vol.16 , pp. 2452-2456
    • Chilla, F.1    Rastello, M.2    Chaumat, S.3
  • 8
    • 0032589534 scopus 로고    scopus 로고
    • Infinite Prandtl number convection
    • Constantin, P. & Doering, C. R. 1999 Infinite Prandtl number convection. J. Stat. Phys. 94, 159-172.
    • (1999) J. Stat. Phys. , vol.94 , pp. 159-172
    • Constantin, P.1    Doering, C.R.2
  • 9
    • 0000916434 scopus 로고
    • Energy dissipation in shear driven turbulence
    • Doering, C. R. & Constantin, P. 1992 Energy dissipation in shear driven turbulence. Phys. Rev. Lett. 69, 1648-1651.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1648-1651
    • Doering, C.R.1    Constantin, P.2
  • 10
    • 0001088644 scopus 로고    scopus 로고
    • Variational bounds on energy dissipation in incompressible flows. III. Convection
    • Doering, C. R. & Constantin, P. 1996 Variational bounds on energy dissipation in incompressible flows. III. Convection. Phys. Rev. E 53, 5957-5981.
    • (1996) Phys. Rev. E , vol.53 , pp. 5957-5981
    • Doering, C.R.1    Constantin, P.2
  • 11
    • 0035529626 scopus 로고    scopus 로고
    • On upper bounds for infinite Prandtl number convection with or without rotation
    • Doering, C. R. & Constantin, P. 2001 On upper bounds for infinite Prandtl number convection with or without rotation. J. Math. Phys. 42, 784-795.
    • (2001) J. Math. Phys. , vol.42 , pp. 784-795
    • Doering, C.R.1    Constantin, P.2
  • 12
    • 23844436950 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical samples with aspect ratio one and larger
    • Funfschilling, D., Brown, E., Nikolaenko, A. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical samples with aspect ratio one and larger. J. Fluid Mech. 536, 145-154.
    • (2005) J. Fluid Mech. , vol.536 , pp. 145-154
    • Funfschilling, D.1    Brown, E.2    Nikolaenko, A.3    Ahlers, G.4
  • 13
    • 0033602414 scopus 로고    scopus 로고
    • Evidence against ultrahard thermal turbulence at very high Rayleigh numbers
    • Glazier, J., Segawa, T., Naert, A. & Sano, M. 1999 Evidence against ultrahard thermal turbulence at very high Rayleigh numbers. Nature 398, 307-310.
    • (1999) Nature , vol.398 , pp. 307-310
    • Glazier, J.1    Segawa, T.2    Naert, A.3    Sano, M.4
  • 14
    • 0033925498 scopus 로고    scopus 로고
    • Scaling in thermal convection: A unifying theory
    • Grossmann, S. & Lohse, D. 2000 Scaling in thermal convection: A unifying theory. J. Fluid Mech. 407, 27-56.
    • (2000) J. Fluid Mech. , vol.407 , pp. 27-56
    • Grossmann, S.1    Lohse, D.2
  • 15
    • 5344252236 scopus 로고
    • Heat transport by turbulent convection
    • Howard, L. N. 1963 Heat transport by turbulent convection. J. Fluid Mech. 17, 405-432.
    • (1963) J. Fluid Mech. , vol.17 , pp. 405-432
    • Howard, L.N.1
  • 17
    • 0001607262 scopus 로고
    • Bounds on flow quantities
    • Howard, L. N. 1972 Bounds on flow quantities. Annu. Rev. Fluid Mech. 4, 473-494.
    • (1972) Annu. Rev. Fluid Mech. , vol.4 , pp. 473-494
    • Howard, L.N.1
  • 18
    • 33748250252 scopus 로고    scopus 로고
    • Infinite-Prandtl-number convection. Part 2. A singular limit of upper bound theory
    • Ierley, G. R., Kerswell, R. R. & Plasting, S. C. 2006 Infinite-Prandtl-number convection. Part 2. A singular limit of upper bound theory. J. Fluid Mech. 560, 159-227.
    • (2006) J. Fluid Mech. , vol.560 , pp. 159-227
    • Ierley, G.R.1    Kerswell, R.R.2    Plasting, S.C.3
  • 20
    • 0035419328 scopus 로고    scopus 로고
    • Turbulent heat flow: Structures and scaling
    • Kadanoff, L. P. 2001 Turbulent heat flow: Structures and scaling. Physics Today 54, 34-39.
    • (2001) Physics Today , vol.54 , pp. 34-39
    • Kadanoff, L.P.1
  • 21
    • 36849117606 scopus 로고
    • Turbulent thermal convection at arbitrary Prandtl number
    • Kraichnan, R. H. 1962 Turbulent thermal convection at arbitrary Prandtl number. Phys. Fluids 5, 1374-1389.
    • (1962) Phys. Fluids , vol.5 , pp. 1374-1389
    • Kraichnan, R.H.1
  • 22
    • 0000109675 scopus 로고
    • The heat transport and spectrum of thermal turbulence
    • Malkus, W. V. R. 1954 The heat transport and spectrum of thermal turbulence. Proc. R. Soc. Lond. A 225, 196-212.
    • (1954) Proc. R. Soc. Lond. A , vol.225 , pp. 196-212
    • Malkus, W.V.R.1
  • 23
  • 24
    • 13844292728 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less
    • Nikolaenko, A., Brown, E., Funfschilling, D. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less. J. Fluid Mech. 523, 251-260.
    • (2005) J. Fluid Mech. , vol.523 , pp. 251-260
    • Nikolaenko, A.1    Brown, E.2    Funfschilling, D.3    Ahlers, G.4
  • 25
    • 1542307219 scopus 로고    scopus 로고
    • Bounds for the heat transport in turbulent convection
    • PhD thesis, University of Michigan
    • Otero, J. 2002 Bounds for the heat transport in turbulent convection. PhD thesis, University of Michigan.
    • (2002)
    • Otero, J.1
  • 26
    • 3543086818 scopus 로고    scopus 로고
    • Turbulence has its limits: A priori estimates of transport properties in turbulent fluid flows
    • PhD thesis, University of Bristol
    • Plasting, S. C. 2004 Turbulence has its limits: A priori estimates of transport properties in turbulent fluid flows. PhD thesis, University of Bristol.
    • (2004)
    • Plasting, S.C.1
  • 27
    • 0037465214 scopus 로고    scopus 로고
    • Improved upper bound on the energy dissipation rate in plane Couette flow: The full solution to Busse's problem and the Constantin-Doering-Hopf problem with one-dimensional background field
    • Plasting, S. C. & Kerswell, R. R. 2003 Improved upper bound on the energy dissipation rate in plane Couette flow: The full solution to Busse's problem and the Constantin-Doering-Hopf problem with one-dimensional background field. J. Fluid Mech. 477, 363-379.
    • (2003) J. Fluid Mech. , vol.477 , pp. 363-379
    • Plasting, S.C.1    Kerswell, R.R.2
  • 28
    • 0035305108 scopus 로고    scopus 로고
    • Observation of the 1/2 power law in Rayleigh-Bénard convection
    • 045303(R)
    • Roche, P.-E., Castaing, B., Chabaud, B. & Hebral, B. 2001. Observation of the 1/2 power law in Rayleigh-Bénard convection. Phys. Rev. E 63, 045303(R).
    • (2001) Phys. Rev. E , vol.63
    • Roche, P.-E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 29
    • 0033602447 scopus 로고    scopus 로고
    • Evidence against ultrahard turbulence at very high Rayleigh numbers
    • Sommeria, J. 1999 Evidence against ultrahard turbulence at very high Rayleigh numbers. Nature 398, 294-295.
    • (1999) Nature , vol.398 , pp. 294-295
    • Sommeria, J.1
  • 30
    • 0033574364 scopus 로고    scopus 로고
    • Three-dimensional thermal convection in an iso-viscous, infinite Prandtl number fluid heated from within and from below: Applications to the transfer of heat through planetary mantles
    • Sotin, C. & Labrosse, S. 1999 Three-dimensional thermal convection in an iso-viscous, infinite Prandtl number fluid heated from within and from below: Applications to the transfer of heat through planetary mantles. Phys. Earth Planet. Inter. 112, 171-190.
    • (1999) Phys. Earth Planet. Inter. , vol.112 , pp. 171-190
    • Sotin, C.1    Labrosse, S.2
  • 31
    • 0000453333 scopus 로고
    • Convection in stars I. Basic Boussinesq convection
    • Spiegel, E. 1971 Convection in stars I. Basic Boussinesq convection. Annu. Rev. Astron. Astrophys 9, 323.
    • (1971) Annu. Rev. Astron. Astrophys , vol.9 , pp. 323
    • Spiegel, E.1
  • 34
    • 4544241853 scopus 로고    scopus 로고
    • Infinite Prandtl number limit of Rayleigh-Bénard convection
    • Wang, X. 2004 Infinite Prandtl number limit of Rayleigh-Bénard convection. Commun. Pure Appl. Maths 57, 1265-1282.
    • (2004) Commun. Pure Appl. Maths , vol.57 , pp. 1265-1282
    • Wang, X.1
  • 35
    • 3543063042 scopus 로고    scopus 로고
    • On limits to convective heat transport at infinite Prandtl number with or without rotation
    • Yan, X. 2004 On limits to convective heat transport at infinite Prandtl number with or without rotation. J. Math. Phys. 45, 2718-2743.
    • (2004) J. Math. Phys. , vol.45 , pp. 2718-2743
    • Yan, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.