Critical Richardson number in a viscous fluid for different Mach numbers, M, in both plots. The corresponding wave numbers kmax of the most unstable mode at the onset of instability are plotted, and the wave number is normalised by the inverse of the characteristic length 1 /Lu. The horizontal line in both plots corresponds to Ri = 0.25. In a) the atmosphere is weakly stratified with θ = 2, whereas in b)θ = 10, which corresponds to a strongly stratified atmosphere.
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