Solidification of Metals and Alloys

Abstract

In order to analyse the process of solidification of metals and alloys critically, it is most pertinent to understand the different modes of nucleation and the uneven rates of growth throughout the melt. It is also important to take a note of the constraints in the growth process that definitely influence the crystal structure and the structure related properties of the casting. The freezing pattern of the liquid melt decides the feeding of the mould which is instrumental in producing a complete and compact casting. For pure metals and even in case of alloys with a narrow freezing range a well defined solid–liquid macro-interface exists. Here feeding of the solidifying casting is the easiest, by the common lowering of the liquid metal surface in the mould. However, in many instances, a well defined interface is not witnessed. The solid–liquid interface could be discrete and not continuous. Here process of feeding the solidification sites that witness considerable shrinkages, may become complicated. On grounds of above it is implied, the process of solidification constitutes an important aspects in the production of a defect free casting.

Explicit solutions related to the Rubinstein binary‐alloy solidification problem with a heat flux or a convective condition at the fixed face

“…A study of binary-alloy problems can be seen in [5][6][7][8][9][10][11][12]. Recent works on the solidification of a binary alloy are [6,8,[13][14][15][16][17][18][19][20][21][22][23][24]. The heat flux condition (1.v) imposed at the fixed face was first considered in [25] for a two-phase Stefan problem for a semi-infinite homogeneous material.…”

Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face

“…A study of binary-alloy problems can be seen in [2,5,8,12,16,17,24,25]. Recent works on the solidification of a binary alloy are [1,3,5,6,7,9,10,11,12,14,21,22,23,28]. The heat flux condition (1.v) imposed at the fixed face was first considered in [18] for a two-phase Stefan problem for a semi-infinite homogeneous material.…”