TRANSPORT IN POROUS MEDIA, cilt.103, ss.437-448, 2014 (SCI İndekslerine Giren Dergi)
We consider convection in a horizontally uniform fluid-saturated porous layer
which is heated from below and which is split into a number of identical sublayers by
impermeable and infinitesimally thin horizontal partitions. Rees and Genç (Int J Heat Mass
Transfer 54:3081–3089,
2010) determined the onset criterion by means of a detailed analytical
and numerical study of the corresponding dispersion relation and showed that this layered
system behaves like the single-sublayer constant-heat-flux Darcy–Bénard problem when the
number of sublayers becomes large. The aim of the present work is to use a weakly nonlinear
analysis to determine whether the layered system also shares the property of the singlesublayer
constant-heat-flux Darcy–Bénard problem by having square cells, as opposed to
rolls, as the preferred planform for convection.