Nonlinear instability and dynamic bifurcation of a plane interface during solidification

Autor:	Dinghua Huang, Zhengyu Bao, Anxin Hou, Songsheng Qu, Zhinong Gao, Jinping Wu
Rok vydání:	2001
Předmět:	Temperature gradient Nonlinear system Materials science Classical mechanics Ripple Thermal Perturbation (astronomy) Mechanics Curvature Nonlinear Sciences::Pattern Formation and Solitons Supercritical fluid Bifurcation
Zdroj:	Science in China Series E: Technological Sciences. 44:507-521
ISSN:	1862-281X 1006-9321
DOI:	10.1007/bf02916737
Popis:	By taking average over the curvature, the temperature and its gradient, the solute concentration and its gradient at the flange of planar interface perturbed by sinusoidal ripple during solidification, the nonlinear dynamic equations of the sinusoidal perturbation wave have been set up. Analysis of the nonlinear instability and the behaviors of dynamic bifurcation of the solutions of these equations shows that (i) the way of dynamic bifurcation of the flat-to-cellular interface transition varies with different thermal gradients. The quasi-subcritical-lag bifurcation occurs in the small interface thermal gradient scope, the supercritical-lag bifurcation in the medium thermal gradient scope and the supercritical bifurcation in the large thermal gradient scope. (ii) The transition of cellular-to-flat interface is realized through supercritical inverse bifurcation in the rapid solidification area.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee70dc2109a182576a3efe0914c0326d https://doi.org/10.1007/bf02916737 Zobrazit plný text záznamu Full text from SpringerLink