Stability and stabilization of garnissage on surface in cylindrical channel

• Published in: International journal of thermal sciences Vol. 140; pp. 442 - 454
• Main Author: Kazachkov, Ivan V.
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.06.2019
• Subjects: Flux control; Garnissage; Heat flux; Heat flux control; Liquid-solid interface; Liquid-solid interfaces; Melt; Melting; Metallurgical machines; Parametric oscillations; Phase interfaces; Solidification; Stability and stabilizations; Stabilization; Variable parameters; Wall protection; Wall protection; Melt; Stabilization; Liquid-solid interface; Garnissage; Heat flux control; Solidification
• ISSN: 1290-0729; 1778-4166; 1778-4166
• DOI: 10.1016/j.ijthermalsci.2019.03.012

The developed mathematical models of parametric oscillations on the phase change boundaries in a cylindrical channel are presented in a continuation of the previously published paper, which made an introduction to the subject. Analysis of the advanced models and processes described by them, together with the computer simulations, revealed a number of important features of the complex systems with dynamical boundaries of the phase change. Influence of the diverse factors and parameters with their interconnections is investigated in detail: the Peclet number, Bio number, modified Bio number (for the heat flux control system), the ratios of physical properties for the liquid and solid phases, a thickness of a solid layer, and the wave numbers of oscillations. Parameters of a garnissage on the internal surface of a cylindrical channel and the regularities of its instability are discussed for the linear and nonlinear cases. A possibility for the system's stabilization against unstable perturbations is examined using the automatic heat flux control. The control parameters are estimated in computer simulation for a wide range of the variable parameters. The results may be useful for the wall's protection against destruction with the artificially controlled garnissage in the metallurgical machines, as well as in some other applications.