Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 25.4.2013 o 14:00 v miestnosti M-223

Juraj Kyselica (KAMŠ FMFI UK):

Diffusion-driven solidification over a moving substrate:

asymptotic self-similar solutions

Abstrakt:

We will discuss the problem of solidification of a binary alloy,

cooled from a horizontally moving substrate.

The mathematical formulation consists of a system of diffusion

and advection-diffusion equations, along with a free boundary

separating the solid and liquid phases.

During the talk, we will present asymptotic self-similar solutions

for the temperature and concentration fields

in the limit of small Prandtl and large Lewis numbers.