Linear temporal stability analysis on the inviscid sheared convective boundary layer flow

A linear temporal stability analysis is conducted for inviscid sheared convective boundary layer flow, in which the instability with stable stratification coexists and caps over thermal unstable stratification. The classic Taylor–Goldstein equation applied different factors J s b Brunt–Väisälä frequency, respectively. Two shear-thermal hybrid instabilities, shear stratified (HSS) Rayleigh–Bénard (HRB) modes, are obtained by solving eigenvalue problems. It found that growth rates of HSS HRB modes vary differently increased two distinct wavenumber ([Formula: see text]) regions defined intersection point between boundaries modes. Based on [Formula: text] where rate equal, a map unique critical boundary, separates effective constructed to be dependent , text]. examinations subordinate eigenfunctions indicate well developed mode, large vortex structures may prevail suppress formation rolls; mode either “partly developed” when or “undeveloped” text], thus only plays secondary role modify dominant rolls, as increases, exhibit transitional behaviors regions, signifying “shear enhancement” sheltering” entrainment buoyancy flux.