Ivan V. Kazachkov
Control, Suppression, Instability, Stabilization, Solidification, Melt, Flow, Channel, Wall
Theoretical research of the problems on boundary control of phase transition is conducted by creation of physical and mathematical models of the corresponding physical phenomena. The models are constructed, whenever possible, simple but reflecting main features of the studied phenomena. Complex mathematical models for the most general cases are realized on computer. So, in a task about stabilization of a garnissage the regions of system’s instability are calculated on computer in a wide range of the varied parameters, and the values of coefficient of feedback control for the regulator intended for suppression of unstable modes of the boundaries’ oscillations are defined. In a view of complexity of the considered magnetohydrodynamic and thermal phenomena the most influential factors are considered, which have a principal importance in the studied systems. The constructed physical and mathematical models may be useful in further developments for the solution of more complex practical tasks. Under control of the boundary form of phase transition by means of systems of automatic control on the interface connected with the regulator the impedance boundary conditions are stated. And, as the regulator is, as a rule, connected to a considerable power source, the reverse influence of object on the regulator is insignificant and can be neglected that substantially simplifies a task. The results may be of interest for the problem of the wall protection with artificial garnissage.
Cite this paper
Ivan V. Kazachkov. (2016) Stability and Stabilization of the Solidification Front for Melt Flow in Cylindrical Channel with Phase Change on a Wall. Part 1. International Journal of Applied Physics, 1, 27-36