Jw. Lu et Fl. Chen, ROTATION EFFECTS ON THE CONVECTION OF BINARY-ALLOYS UNIDIRECTIONALLY SOLIDIFIED FROM BELOW, International journal of heat and mass transfer, 40(2), 1997, pp. 237-246
Rotation used to be thought as an effective method to prohibit the for
mation of freckles of a binary alloy unidirectionally solidified from
below, which we will show in the present paper is true only under rest
rictive conditions. A linear stability analysis is implemented for the
system consisting a dendritic mushy region underlying a bulk fluid re
gion and relating uniformly about a vertical axis. Emphasis is placed
on the rotation effects on the competition between the convection mode
s, which has a direct influence on the formation of freckles. Results
show that rotation generally enhances the stability of the convection
modes, but the enhancement is not significant until the rotation speed
is very high (such as 10(5) rpm), which in some sense agrees well wit
h the previous numerical and experimental results. in spite of its ine
ffectiveness as an inhibitory method to the formation of freckles, it
is found from the present parametric study that the effects of rotatio
n on convection depend largely on the buoyancy ratio A of the alloy. B
oth the changes of the rotation speed and the buoyancy ratio may lead
to a switch of the most critical convection mode, which may in turn in
fluence the characteristics of the subsequent plume convection, and th
us the formation of freckles. Copyright (C) 1996 Elsevier Science Ltd.