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Volumn 136, Issue 3-4, 2000, Pages 322-339

Upper bounds on the heat transport in a porous layer

Author keywords

Heat transport; Optimum theory of turbulence; Porous medium

Indexed keywords


EID: 0346688045     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00165-7     Document Type: Article
Times cited : (56)

References (29)
  • 1
    • 5344252236 scopus 로고
    • Heat transport in turbulent convection
    • L.N. Howard, Heat transport in turbulent convection, J. Fluid. Mech. 17 (1963) 405-432.
    • (1963) J. Fluid. Mech. , vol.17 , pp. 405-432
    • Howard, L.N.1
  • 2
    • 0014543531 scopus 로고
    • On Howard's upper bound for heat transport by turbulent convection
    • F.H. Busse, On Howard's upper bound for heat transport by turbulent convection, J. Fluid. Mech. 37 (1969) 457-477.
    • (1969) J. Fluid. Mech. , vol.37 , pp. 457-477
    • Busse, F.H.1
  • 3
    • 0018206672 scopus 로고
    • The optimum theory of turbulence
    • F.H. Busse, The optimum theory of turbulence, Adv. Appl. Mech. 18 (1978) 77-121.
    • (1978) Adv. Appl. Mech. , vol.18 , pp. 77-121
    • Busse, F.H.1
  • 4
    • 0039117912 scopus 로고
    • On the optimum theory of turbulence
    • G.P. Galdi, B. Straughan (Eds.), Pitman, London
    • F.H. Busse, On the optimum theory of turbulence, in: G.P. Galdi, B. Straughan (Eds.), Energy Stability and Convection, Pitman, London, 1988.
    • (1988) Energy Stability and Convection
    • Busse, F.H.1
  • 5
    • 0000916434 scopus 로고
    • Energy dissipation in shear driven turbulence
    • C.R. Doering, P. Constantin, Energy dissipation in shear driven turbulence, Phys. Rev. Lett. 69 (1992) 1648-1651.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1648-1651
    • Doering, C.R.1    Constantin, P.2
  • 6
    • 29444448503 scopus 로고
    • Variational bounds on energy dissipation in incompressible flows: Shear flow
    • C.R. Doering, P. Constantin, Variational bounds on energy dissipation in incompressible flows: shear flow, Phys. Rev. E 49 (1994) 4087-4099.
    • (1994) Phys. Rev. E , vol.49 , pp. 4087-4099
    • Doering, C.R.1    Constantin, P.2
  • 7
    • 26744476261 scopus 로고
    • Variational bounds on energy dissipation in incompressible flows. II. Channel flow
    • P. Constantin, C.R. Doering, Variational bounds on energy dissipation in incompressible flows. II. Channel flow, Phys. Rev. E 51 (1995) 3192-3198.
    • (1995) Phys. Rev. E , vol.51 , pp. 3192-3198
    • Constantin, P.1    Doering, C.R.2
  • 8
    • 0001638906 scopus 로고
    • Variational bounds in dissipative systems
    • P. Constantin, C. Doering, Variational bounds in dissipative systems, Physica D 82 (1995) 221-228.
    • (1995) Physica D , vol.82 , pp. 221-228
    • Constantin, P.1    Doering, C.2
  • 9
    • 0013415879 scopus 로고    scopus 로고
    • Heat transfer in convective turbulence
    • P. Constantin, C. Doering, Heat transfer in convective turbulence, Nonlinearity 9 (1996) 1049-1060.
    • (1996) Nonlinearity , vol.9 , pp. 1049-1060
    • Constantin, P.1    Doering, C.2
  • 10
    • 0001088644 scopus 로고    scopus 로고
    • Variational bounds on energy dissipation in incompressible flows, III. Convection
    • C.R. Doering, P. Constantin, Variational bounds on energy dissipation in incompressible flows, III. Convection, Phys. Rev. E 53 (1996) 5957-5981.
    • (1996) Phys. Rev. E , vol.53 , pp. 5957-5981
    • Doering, C.R.1    Constantin, P.2
  • 11
    • 0016455077 scopus 로고
    • Hydrothermal convection in saturated porous media
    • M. Combarnous S.A. Bories, Hydrothermal convection in saturated porous media, Hydroscience 10 (1975) 231-307.
    • (1975) Hydroscience , vol.10 , pp. 231-307
    • Combarnous, M.1    Bories, S.A.2
  • 13
    • 84962604454 scopus 로고
    • Steady free convection in a porous medium heated from below
    • J.W. Elder, Steady free convection in a porous medium heated from below, J. Fluid Mech. (1967) 29-48.
    • (1967) J. Fluid Mech. , pp. 29-48
    • Elder, J.W.1
  • 14
    • 0000592994 scopus 로고
    • Transfert de chaleur par convection naturelle dans une couche poreuse horizontale
    • M. Combarnous, B. Le Fur, Transfert de chaleur par convection naturelle dans une couche poreuse horizontale, C.R. Acad. Sci. Paris B 269 (1969) 1009-1012.
    • (1969) C.R. Acad. Sci. Paris B , vol.269 , pp. 1009-1012
    • Combarnous, M.1    Le Fur, B.2
  • 15
    • 84915523184 scopus 로고
    • On steady convection in a porous medium
    • E. Palm, J.E. Weber, O. Kvernvold, On steady convection in a porous medium, J. Fluid Mech. 54 (1972) 153-161.
    • (1972) J. Fluid Mech. , vol.54 , pp. 153-161
    • Palm, E.1    Weber, J.E.2    Kvernvold, O.3
  • 16
    • 0016383601 scopus 로고
    • Large amplitude convection in porous media
    • J.M. Straus, Large amplitude convection in porous media, J. Fluid. Mech. 64 (1974) 51-63.
    • (1974) J. Fluid. Mech. , vol.64 , pp. 51-63
    • Straus, J.M.1
  • 18
    • 0031080590 scopus 로고    scopus 로고
    • Convection and flow in porous media. Part 1. Visualization by magnetic resonance imaging
    • M.D. Shattuck, R.P. Behringer, G.A. Johnson, J.G. Georgiadis, Convection and flow in porous media. Part 1. Visualization by magnetic resonance imaging, J. Fluid. Mech. 332 (1997) 215-245.
    • (1997) J. Fluid. Mech. , vol.332 , pp. 215-245
    • Shattuck, M.D.1    Behringer, R.P.2    Johnson, G.A.3    Georgiadis, J.G.4
  • 19
    • 0031080275 scopus 로고    scopus 로고
    • Convection and flow in porous media. Part 2. Visualization by shadograph
    • L.E. Howle, R.P. Behringer, J.G. Georgiadis, Convection and flow in porous media. Part 2. Visualization by shadograph, J. Fluid. Mech. 332 (1997) 247-262.
    • (1997) J. Fluid. Mech. , vol.332 , pp. 247-262
    • Howle, L.E.1    Behringer, R.P.2    Georgiadis, J.G.3
  • 20
    • 0022722289 scopus 로고
    • Route to chaos in porous-medium thermal convection
    • S. Kimura, G. Schubert, J.M. Straus, Route to chaos in porous-medium thermal convection, J. Fluid Mech. 166 (1986) 305-324.
    • (1986) J. Fluid Mech. , vol.166 , pp. 305-324
    • Kimura, S.1    Schubert, G.2    Straus, J.M.3
  • 21
    • 0028484428 scopus 로고
    • Plume formation and resonant bifurcations in porous-media convection
    • M.D. Graham, P.H. Steen, Plume formation and resonant bifurcations in porous-media convection, J. Fluid Mech. 272 (1994) 67-89.
    • (1994) J. Fluid Mech. , vol.272 , pp. 67-89
    • Graham, M.D.1    Steen, P.H.2
  • 22
    • 84974132283 scopus 로고
    • Bounds for heat transport in a porous layer
    • F.H. Busse, D.D. Joseph, Bounds for heat transport in a porous layer, J. Fluid Mech. 54 (1972) 521-543.
    • (1972) J. Fluid Mech. , vol.54 , pp. 521-543
    • Busse, F.H.1    Joseph, D.D.2
  • 23
    • 0015588205 scopus 로고
    • Bounds for heat transport in a porous layer
    • V.P. Gupta, D.D. Joseph, Bounds for heat transport in a porous layer, J. Fluid Mech. 57 (1973) 491-514.
    • (1973) J. Fluid Mech. , vol.57 , pp. 491-514
    • Gupta, V.P.1    Joseph, D.D.2
  • 24
    • 0032303986 scopus 로고    scopus 로고
    • Bounds for heat transport in a porous layer
    • C.R. Doering, P. Constantin, Bounds for heat transport in a porous layer, J. Fluid. Mech. 376 (1998) 263-296.
    • (1998) J. Fluid. Mech. , vol.376 , pp. 263-296
    • Doering, C.R.1    Constantin, P.2
  • 25
    • 0031522539 scopus 로고    scopus 로고
    • Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries
    • N.K. Vitanov, F.H. Busse, Bounds on the heat transport in a horizontal fluid layer with stress-free boundaries, J. Appl. Math. Phys. (ZAMP) 48 (1997) 310-324.
    • (1997) J. Appl. Math. Phys. (ZAMP) , vol.48 , pp. 310-324
    • Vitanov, N.K.1    Busse, F.H.2
  • 27
    • 84958735462 scopus 로고
    • Convection of a fluid in a porous medium
    • E.R. Lapwood, Convection of a fluid in a porous medium, Proc. Camb. Phil. Soc. 44 (1948) 508-521.
    • (1948) Proc. Camb. Phil. Soc. , vol.44 , pp. 508-521
    • Lapwood, E.R.1
  • 28
    • 0041577305 scopus 로고    scopus 로고
    • Upper bound on the heat transport in a horizontal fluid layer of infinite Prandtl number
    • N.K. Vitanov, Upper bound on the heat transport in a horizontal fluid layer of infinite Prandtl number, Phys. Lett. A 248 (1998) 338-346.
    • (1998) Phys. Lett. A , vol.248 , pp. 338-346
    • Vitanov, N.K.1
  • 29
    • 0015037568 scopus 로고
    • Infinite Prandtl number turbulent convection
    • S.K. Chan, Infinite Prandtl number turbulent convection, Stud. Appl. Math. 50 (1971) 13-49.
    • (1971) Stud. Appl. Math. , vol.50 , pp. 13-49
    • Chan, S.K.1


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