Stability and stabilization of garnissage on surface in cylindrical channel
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...
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| Published in | International journal of thermal sciences Vol. 140; pp. 442 - 454 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Masson SAS
01.06.2019
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| Online Access | Get full text |
| ISSN | 1290-0729 1778-4166 1778-4166 |
| DOI | 10.1016/j.ijthermalsci.2019.03.012 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Kazachkov, Ivan V. |
| Author_xml | – sequence: 1 givenname: Ivan V. surname: Kazachkov fullname: Kazachkov, Ivan V. email: Ivan.Kazachkov@energy.kth.se organization: Dept of Applied Mathematics and Informatics, Nizhyn Gogol State University, Ukraine |
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| Cites_doi | 10.1007/BF01322800 10.1146/annurev-fluid-010313-141351 10.1063/1.3116285 10.1017/jfm.2015.760 10.1016/j.ijthermalsci.2017.12.007 10.1063/1.3502023 |
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| Keywords | Wall protection Melt Stabilization Liquid-solid interface Garnissage Heat flux control Solidification |
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| SubjectTerms | 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 |
| Title | Stability and stabilization of garnissage on surface in cylindrical channel |
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