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Infinite Prandtl number convection. (English) Zbl 0935.76083
Summary: We prove an inequality of the type \(N\leq CR^{1/3}(1+ \log_+R)^{2/3}\) for the Nusselt number \(N\) in terms of the Rayleigh number \(R\) for the equations describing three-dimensional Rayleigh-Bénard convection in the limit of infinite Prandtl number.

MSC:
76R10 Free convection
76F35 Convective turbulence
80A20 Heat and mass transfer, heat flow (MSC2010)
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