陳發林Lu, J. W.J. W.LuChen, FalinFalinChen2009-02-082018-06-292009-02-082018-06-29199200179310http://ntur.lib.ntu.edu.tw//handle/246246/123852https://www.scopus.com/inward/record.uri?eid=2-s2.0-0026977401&doi=10.1016%2f0017-9310%2892%2990231-G&partnerID=40&md5=6f7a6b365980baa231c75e6f99945c7dIn the experiment of directional solidification of binary solutions, the salt-finger convection is usually found to occur prior to the onset of plume convection. The plume containing cold solute-rich liquid is ejected from the dendritic mushy zone, an anisotropic and inhomogeneous porous medium. The salt-finger convection is accordingly believed to be responsible for the formation of plume convection. In this paper, we seek the relation between the onset of salt-finger and plume convection in the mushy zone by a linear stability analysis. We begin with a general study on the influences of the anisotropic and inhomogeneous permeability, thermal diffusivity, and solute diffusivity on the stability characteristics of salt-finger convection in the porous medium. Based on the results obtained, we consider the salt-finger instability in a real dendritic mushy zone identified from the experiment and find that the onset solute Rayleigh number Rsmc of salt-finger convection is invariably much larger than that of plume convection. It is therefore our belief that there is no salt-finger convection in the mush when the plume is initially ejected from the mush. © 1992.en-USPorous materials; Solidification; Solutions; Stability; Thermal diffusion; Binary solutions; Directional solidification; Mushy zone; Plume convection; Salt-finger convection; Heat convectionjournal article10.1016/0017-9310(92)90231-G2-s2.0-0026977401