Boundary Layer Analysis of Traveling Waves in Binary Convection
A systematic study of the phenomenon of convection in binary mixtures has revealed a rich variety of behaviors. Many interesting dynamical states have been found experimentally1–6. The situation is very different from what happens in pure fluid convection, due to the fact that the conducting state gets destabilized at a finite frequency through a Hopf bifurcation7. Propagative rolls are often observed, bifurcating subcritically when the control parameter is increased. States of confined traveling wave patterns have also been found experimentally, and their interactions induce rather complex and interesting phenomena which let one ti think that binary mixture convection might an appropriate system for testing theoretical ideas on spatio-temporal disorder and phase turbulence. Indeed, traveling waves seem to be a crucial ingredient for the understanding of many interesting and complex dynamical properties of quasi-1 dimensional systems. This paper is devoted to a thorough analysis of the emergence of nonlinear traveling waves in binary mixtures convection.
KeywordsBoundary Layer Rayleigh Number Travel Wave Solution Concentration Field Critical Rayleigh Number
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