年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
SMALL NIELD NUMBER CONVECTION IN A POROUS LAYER HEATED FROM BELOW VIA A CONSTANT HEAT FLUX AND SUBJECT TO LACK OF LOCAL THERMAL EQUILIBRIUM
要約
The lack of local thermal equilibrium leads to distinct basic temperature profiles for the fluid and solid phases when a constant heat flux instead of a constant temperature is imposed on the lower boundary. Despite these distinct basic temperature profiles, the equations governing their linear stability for small Nield numbers eventually degenerate to the same form as for the case of local thermal equilibrium subject to constant heat flux on the lower boundary. A complete linear stability analysis is performed presenting an accurate solution to the latter; the corresponding neutral curves; accurate eigenvalues; and, in particular, the distinct type of eigenfunctions producing the shape of the convection patterns.
-
Straughan B., Nonlinear Stability of Convection in a Porous Layer with Solid Partitions, Journal of Mathematical Fluid Mechanics, 16, 4, 2014. Crossref
-
Nazari M., Maghrebi M.J., Armaghani T., Chamkha Ali J., New models for heat flux splitting at the boundary of a porous medium: three energy equations for nanofluid flow under local thermal nonequilibrium conditions, Canadian Journal of Physics, 92, 11, 2014. Crossref
-
Dehghan Maziar, Valipour Mohammad Sadegh, Saedodin Seyfolah, Analytical Study of Heat Flux Splitting in Micro-channels Filled with Porous Media, Transport in Porous Media, 109, 3, 2015. Crossref
-
Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2013. Crossref
-
Pulvirenti Beatrice, Celli Michele, Barletta Antonio, Flow and Convection in Metal Foams: A Survey and New CFD Results, Fluids, 5, 3, 2020. Crossref
-
Buonomo Bernardo, Cascetta Furio, Manca Oronzio, Sheremet Mikhail, Heat transfer analysis of rectangular porous fins in local thermal non-equilibrium model, Applied Thermal Engineering, 195, 2021. Crossref
-
Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref