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 not only can describe the interfacial behaviors of all the long-wave limits, but also can provide the possibility of strongly nonlinear instability analysis. Three-dimensional weakly nonlinear analysis proceeded from the critical condition is undertaken to investigate the two-dimensional bend-like cells and the three-dimensional hexagonal structures.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)