Q. Yu et al., EFFECT OF STRESS ACTING UPON THE SOLID NETWORK IN THE 2-PHASE ZONE DURING SOLIDIFICATION, International journal of heat and mass transfer, 38(1), 1995, pp. 31-38
Having taken the solid network movement in the two-phase zone into con
sideration, this paper develops the original local solute redistributi
on equation. The additional term divV'(s) in the new equation is depen
dent on the history of an effective stress sigma' acting upon the soli
d network. The solidifying isotherm advances quickly and there is not
enough time to make the solid network compressible at large cooling ra
tes. With decreasing cooling rate, movement of the isotherm is gradual
ly slowed and there is enough time to make the network deformed. It is
suggested that the compressibility due to the normal stress may produ
ce ''channel space'' filled by unstable flow under the conditions of s
mall cooling rate during solidification. The calculated results have d
emonstrated that the back-flow toward the centerline increases when th
e stress is considered.