NDLI: Unsteady Conjugate Natural Convection in a Vertical Cylinder Containing a Horizontal Porous Layer: Darcy Model and Brinkman-Extended Darcy Model

Content Provider	Springer Nature Link
Author	Sheremet, Mikhail A. Trifova, Tatyana A.
Copyright Year	2013
Abstract	Transient natural convection in a vertical cylinder partially filled with a porous media with heat-conducting solid walls of finite thickness in conditions of convective heat exchange with an environment has been studied numerically. The Darcy and Brinkman-extended Darcy models with Boussinesq approximation have been used to solve the flow and heat transfer in the porous region. The Oberbeck–Boussinesq equations have been used to describe the flow and heat transfer in the pure fluid region. The Beavers–Joseph empirical boundary condition is considered at the fluid–porous layer interface with the Darcy model. In the case of the Brinkman-extended Darcy model, the two regions are coupled by equating the velocity and stress components at the interface. The governing equations formulated in terms of the dimensionless stream function, vorticity, and temperature have been solved using the finite difference method. The main objective was to investigate the influence of the Darcy number $$10^{-5}\le \hbox {Da}\le 10^{-3}$$ , porous layer height ratio $$0\le d/L\le 1$$ , thermal conductivity ratio $$1\le k_{1,3}\le 20$$ , and dimensionless time $$0\le \tau \le 1000$$ on the fluid flow and heat transfer on the basis of the Darcy and non-Darcy models. Comprehensive analysis of an effect of these key parameters on the Nusselt number at the bottom wall, average temperature in the cylindrical cavity, and maximum absolute value of the stream function has been conducted.
Starting Page	437
Ending Page	463
Page Count	27
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	101
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-12-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Conjugate natural convection Darcy model Brinkman-extended Darcy model Boussinesq approximation Stream function—vorticity formulation Geotechnical Engineering & Applied Earth Sciences Industrial Chemistry/Chemical Engineering Civil Engineering Hydrogeology Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Catalysis

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