NDLI: Thermal Instability in a Porous Medium Layer Saturated with a Viscoelastic Nanofluid

Content Provider	Springer Nature Link
Author	Sheu, Long Jye
Copyright Year	2011
Abstract	The onset of convection in a horizontal layer of a porous medium saturated with a viscoelastic nanofluid was studied in this article. The modified Darcy model was applied to simulate the momentum equation in porous media. An Oldroyd-B type constitutive equation was used to describe the rheological behavior of viscoelastic nanofluids. The model used for the viscoelastic nanofluid incorporates the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection was analytically derived. The effects of the concentration Rayleigh number, Prandtl number, Lewis number, capacity ratio, relaxation, and retardation parameters on the stability of the system were investigated. Oscillatory instability is possible in both bottom- and top-heavy nanoparticle distributions. Results indicated that there is competition among the processes of thermophoresis, Brownian diffusion, and viscoelasticity that causes the convection to set in through oscillatory rather than stationary modes. Regimes of stationary and oscillatory convection for various parameters were derived and are discussed in detail.
Starting Page	461
Ending Page	477
Page Count	17
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	88
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-03-11
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Thermal instability Viscoelastic nanofluids Oldroyd-B Oscillatory convection Porous media Civil Engineering Hydrogeology Classical Continuum Physics Geotechnical Engineering Industrial Chemistry/Chemical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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