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SUMMARY:Optimal Heat Transport in Steady Rayleigh-Bénard Convection - The
 o Lewy (University of Cambridge)
DTSTART:20251015T120000Z
DTEND:20251015T130000Z
UID:TALK237286@talks.cam.ac.uk
CONTACT:Emma
DESCRIPTION:Thermal convection is perhaps most studied within the Rayleigh
 -Bénard system\, where a question of great interest is how the heat trans
 port asymptotically scales with the imposed temperature difference for str
 ongly non-linear states. Even for a simple convection roll in the no-slip 
 system\, multiple asymptotic structures have been proposed. We use a match
 ed asymptotic analysis to suggest that these rolls have their heat transpo
 rt maximised when they have aspect ratio Γ = Ra(-1/5)\, where Ra is the n
 on-dimensional imposed temperature difference\, yielding a heat transport 
 of Nu = Ra(1/3). We also briefly consider the heat transport of an interna
 lly heated system via numerics.
LOCATION:MR12
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