Nonlinear morphological instabilities in directional solidification - An integral approximation

Jin Yuan Hsieh, Chi Chuan Hwang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this article, we derive a strongly nonlinear evolution equation by using the integral method to study the instabilities in a directionally solidified binary mixture. This equation can not only describe the interfacial behaviors of all the long-wave limits, but can also provide the possibility of strongly nonlinear instability analyses. Weakly nonlinear analyses proceeded from the critical conditions are undertaken to investigate the two-dimensional bifurcation types and a transition curve separating subcritical and supercritical ranges is obtained.

Original languageEnglish
Pages (from-to)2765-2772
Number of pages8
JournalJournal of Applied Physics
Volume76
Issue number5
DOIs
Publication statusPublished - 1994

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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