Mathematical modeling for convective mass transfer. Part 1. Subсritical convection

The paper deals with numerical study for epitaxial growth of thin ternary monocrystal layers. Epitaxy produces unstable density gradient that gives rise to natural convection. The review of relevant previously known theoretical results for hydrodynamic instability is given. Three-dimensional calculations have been done to determine the critical Rayleigh number and flow pattern for critical motion. Found results are in good agreement with analytical research data.