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 language | English |
---|---|
Pages (from-to) | 2765-2772 |
Number of pages | 8 |
Journal | Journal of Applied Physics |
Volume | 76 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1994 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy