Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries
We investigate the stability of the steady convective flow in a plane tilted layer with ideal thermal conductivity of solid boundaries in the presence of uniform longitudinal temperature gradient. Analytically found the stability boundary with respect to the long-wave perturbations, find the critical Grashof number for the most dangerous among them of even spiral perturbation.
physics.flu-dyn↗