Numerical investigation of the plane problem of convection of a multicomponent fluid in a porous medium. (English. Russian original) Zbl 1178.76324
Fluid Dyn. 39, No. 3, 464-473 (2004); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2004, No. 3, 123-134 (2004).
Summary: Scenarios of the development of continuous families of steady-state regimes branching off from mechanical equilibrium are investigated for the plane problem of filtrational convection of a multicomponent fluid saturating a porous block of rectangular cross-section. Convection of two- and three-component fluids is considered, and unidirectional and differently directed vertical temperature and concentration gradients are analyzed. A new scenario of the formation of a continuous family of steady-state solutions realized in the case of oscillatory instability of mechanical equilibrium is studied.
MSC:
76R10 | Free convection |
76S05 | Flows in porous media; filtration; seepage |
76M20 | Finite difference methods applied to problems in fluid mechanics |
80A20 | Heat and mass transfer, heat flow (MSC2010) |