×

Limits on the transport of heat and momentum by turbulent convection with large-scale flow. (English) Zbl 0707.76052

Summary: Under certain conditions, high-Rayleigh-number convection in a horizontal layer exhibits an organized pattern of large-scale flow superposed on an irregular structure of turbulent plumes. Bounds on the heat and momentum fluxes in such a flow, which provide upper estimates of the possible level of the large-scale flow, are presented.

MSC:

76F99 Turbulence
76R99 Diffusion and convection
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI

References:

[1] Krishnamurti, Large-scale flow generation in turbulent convection, Proc. Nat. Acad. Sci. U.S.A. 78 pp 1981– (1981) · doi:10.1073/pnas.78.4.1981
[2] Howard, Large-scale flow in turbulent convection: A mathematical model, J. Fluid Mech. 170 pp 385– (1986) · Zbl 0606.76053 · doi:10.1017/S0022112086000940
[3] Krishnamurti, Large scale flow in turbulent convention: Laboratory experiments and a mathematical model, Papers Meteorol. Res. 6 pp 143– (1983)
[4] Howard, Turbulence and Chaotic Phenomena in Fluids pp 535– (1984)
[5] Howard, Heat transport by turbulent convection, J. Fluid Mech. 17 pp 405– (1963) · Zbl 0132.42501 · doi:10.1017/S0022112063001427
[6] Busse, On Howard’s upper bound for heat transport in turbulent convection, J. Fluid Mech. 37 pp 457– (1969) · Zbl 0175.52602 · doi:10.1017/S0022112069000668
[7] Howard, Bounds on flow quantities, Annual Rev. Fluid Mech. 4 pp 473– (1972) · Zbl 0292.76039 · doi:10.1146/annurev.fl.04.010172.002353
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.