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On upper bounds for infinite Prandtl number convection with or without rotation
dc.contributor.authorDoering, Charles R.en_US
dc.contributor.authorConstantin, Peteren_US
dc.date.accessioned2010-05-06T22:25:52Z
dc.date.available2010-05-06T22:25:52Z
dc.date.issued2001-02en_US
dc.identifier.citationDoering, Charles R.; Constantin, Peter (2001). "On upper bounds for infinite Prandtl number convection with or without rotation." Journal of Mathematical Physics 42(2): 784-795. <http://hdl.handle.net/2027.42/70609>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70609
dc.description.abstractBounds for the bulk heat transport in Rayleigh–Benard convection for an infinite Prandtl number fluid are derived from the primitive equations. The enhancement of heat transport beyond the minimal conduction value (the Nusselt number Nu) is bounded in terms of the nondimensional temperature difference across the layer (the Rayleigh number Ra) according to Nu ⩽ cRa2/5,Nu⩽cRa2/5, where c<1c<1 is an absolute constant. This rigorous upper limit is uniform in the rotation rate when a Coriolis force, corresponding to the rotating convection problem, is included. © 2001 American Institute of Physics.en_US
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dc.format.extent98962 bytes
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dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleOn upper bounds for infinite Prandtl number convection with or without rotationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109en_US
dc.contributor.affiliationotherDepartment of Mathematics, University of Chicago, Chicago, Illinois 60637en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70609/2/JMAPAQ-42-2-784-1.pdf
dc.identifier.doi10.1063/1.1336157en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.owningcollnamePhysics, Department of


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