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Title Numerical study of the validity of the Boussinesq approximation for a fluid-saturated porous medium
Creator/Author Hickox, C.E. ; Gartling, D.K.
Publication Date1982 Jan 01
OSTI IdentifierOSTI ID: 6534714; Legacy ID: DE83001347
Report Number(s)SAND-82-0552C; CONF-830301-4
DOE Contract NumberAC04-76DP00789
Other Number(s)Other: ON: DE83001347
Resource TypeConference
Specific TypeTechnical Report
Resource RelationConference: ASME-JSME thermal engineering joint conference, Honolulu, HI, USA, 20 Mar 1983
Research OrgSandia National Labs., Albuquerque, NM (USA)
Subject42 ENGINEERING; NATURAL CONVECTION; MATHEMATICAL MODELS; POROUS MATERIALS; AIR; FLUID FLOW; SATURATION; TEMPERATURE DEPENDENCE; THERMODYNAMIC PROPERTIES; WATER; CONVECTION; FLUIDS; GASES; HYDROGEN COMPOUNDS; MATERIALS; OXYGEN COMPOUNDS; PHYSICAL PROPERTIES
Description/AbstractThe validity of the Boussinesq approximation is investigated for natural convection in a fluid-saturated porous medium. A perturbation method is utilized to assess the relative importance of individual terms in the differential equations which describe the natural convection process. Specific limits to the validity of the Boussinesq approximation are identified for water and air. For water, it is shown that the restrictions imposed by the classical Boussinesq appoximation can be relaxed by allowing for the variation of thermophysical properties with temperature while still retaining the incompressible form of the continuity relation. Results of the analysis are verified through numerical calculations performed for steady natural convvection in a planar, water-saturated porous region, of unity aspect ratio, subjected to a tempertaure difference imposed between the vertical side walls.
Country of PublicationUnited States
LanguageEnglish
FormatMedium: X; Size: Pages: 20
AvailabilityNTIS, PC A02/MF A01.
System Entry Date2008 Feb 08

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