PhD thesis advisor:

PhD thesis - Full text (1059 kB)

Synopsis (364 kB)

We focus on a problem of a binary alloy
growing over a horizontal, cooled planar substrate pulled at a constant speed in horizontal
direction. From the practical point of view, such experimental configuration is motivated by
the applications in material engineering.
From the theoretical point of view, the main task
is the study of a non-trivial flow in the liquid region ahead of the mushy layer and its
interaction with the mushy layer. The pulled substrate is the source of a boundary-layer flow
in the liquid phase ahead of the mush/liquid interface. The self-similar solutions
of the governing boundary-layer equations are found and analysed via the asymptotic
methods. The main goal of the thesis is to determine how the boundary-layer flow
influences the physical characteristics of the solidifying system.

[1] Kyselica, J. 2013

Evolution of the solidification front of a binary mixture.

[2] Kyselica, J., Guba, P. (submitted 2014)

Forced boundary-layer flow and solidification on a moving substrate

[3] Kyselica, J., Guba, P. (in preparation)

Mushy layer and a forced boundary-layer flow over a horizontally-moving substrate