Rayleigh Benard: Instability and Boundary Conditions

This lecture covers the Rayleigh Benard convection phenomenon, focusing on the linearization and change of variables in the equations, reduction to two equations, normal mode expansion, and the conditions for instability. It also discusses the Marginal stability curves for Marangoni convection, the stress-free and thermal boundary conditions, and the solution ansatz that satisfies the boundary conditions. The lecture concludes with the dispersion relation, the minimum conditions for instability, and the experimental verification of stress-free boundary conditions. The instructor explains the concepts using mathematical equations and graphical representations.