NDLI: Vorticity in Three-Dimensionally Random Porous Media

Content Provider	Springer Nature Link
Author	Kapoor, Vivek
Copyright Year	1997
Abstract	The flow gradient tensor controls the rate of dissipation of concentration fluctuations due to local dispersion, and therefore determines the rate of dilution of solute in a spatially random flow field. Off-diagonal terms of the flow gradient tensor quantify the rotational characteristics of the flow. A leading order description of the vorticity $$(\omega = (\omega _1 ,\omega _2 ,\omega _3 ))$$ , of flow in a three-dimensionally random spatially correlated hydraulic conductivity field $$(K({\text{x}}))$$ is made by relating the vorticity spectrum to the spectrum of ln $$K({\text{x}})$$ . Distinct components of the vorticity are found to be linearly uncorrelated $$(\overline {\omega _i \omega _j } = 0,i \ne j)$$ . The characteristic vorticity component in the bulk flow direction is zero $$(\sigma _{\omega _1 } = 0)$$ , and the characteristic vorticity in the transverse directions $$(\sigma _{\omega _2 } ,\sigma _{\omega _3 } )$$ are inversely proportional to the hydraulic conductivity microscales in the other transverse direction, as exhibited in a numerical calculation of the vorticity.
Starting Page	109
Ending Page	119
Page Count	11
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	26
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1997-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Industrial Chemistry/Chemical Engineering Hydrogeology Geotechnical Engineering Mechanics, Fluids, Thermodynamics Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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