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Buoyancy-driven flows of a radiatively participating fluid in a vertical cylinder heated from belowThe effect of radiative energy transport on the onset and evolution of natural convective flows is studied in a Rayleigh-Benard system. Steady, axisymmetric flows of a radiatively participating fluid contained in a rigid-walled, vertical cylinder which is heated on the base, cooled on top, and insulated on the side wall are calculated by using the Galerkin FEM. Bifurcation analysis techniques are used to investigate the changes in the flow structure due to internal radiation. The results of this two-parameter study - where the Rayleigh number, Ra and optical thickness, tau, are varied - apply to fluids ranging from opaque to nearly transparent with respect to IR radiation. For any nonopaque fluid, internal radiation eliminates the static state that without radiation, exists for all values of the Rayleigh number. This heat transfer mechanism also destroys a symmetry of the system that relates clockwise and counterclockwise flows. The connectivity between characteristic flow families and the range of Ra where families are stable are found to depend greatly on tau. Results demonstrate the inadequacy of characterizing the behavior of this system using simple notions of radiative transfer in optically thick or thin media; the nonlinear interaction of radiation and flow are far more complicated than these asymptotic limits would imply.
Document ID
19930072149
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Salinger, A. G.
(NASA Langley Research Center Hampton, VA, United States)
Brandon, S.
(NASA Langley Research Center Hampton, VA, United States)
Aris, R.
(NASA Langley Research Center Hampton, VA, United States)
Derby, J. J.
(Minnesota Univ. Minneapolis, United States)
Date Acquired
August 16, 2013
Publication Date
August 9, 1993
Publication Information
Publication: Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences
Volume: 442
Issue: 1915
ISSN: 0962-8444
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
93A56146
Funding Number(s)
CONTRACT_GRANT: DAAL03-89-C-0038
CONTRACT_GRANT: NAG1-1268
Distribution Limits
Public
Copyright
Other

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