Abstract
A binary mixture saturating a horizontal porous layer, with large pores and
uniformly heated from below, is considered. The instability of a vertical
uid
motion (throughflow) when the layer is salted by one salt (either from above or from below) is analyzed. Ultimately boundedness of solutions is proved, via the
existence of positively invariant and attractive sets (i.e. absorbing sets). The
critical Rayleigh numbers at which steady or oscillatory instability occurs, are
recovered. Sufficient conditions guaranteeing that a secondary steady motion
or a secondary oscillatory motion can be observed after the loss of stability,
are found. When the layer is salted from above, a condition guaranteeing the
occurrence of "cold" instability is determined. Finally, the influence of the
velocity module on the increasing/decreasing of the instability thresholds is
investigated.
Anno
2019
Autori IAC
Tipo pubblicazione
Altri Autori
Florinda Capone; Roberta De Luca; Isabella Torcicollo
Editore
Gordon and Breach Publishers.
Rivista
Mathematical problems in engineering (Print)