Abstract
The results of analytical stability calculations of an ideal liquid stratified shear flow described by the Drazin model /1/ are presented. It is shown that the previously found solution /1/, which gives the boundaries of the region of stability in a plane with parameters αJ, where α is a dimensionless wave number and J is the minimum value of the Richardson number are generally incomplete. The presence of constant stratification in the whole flow region enables free internal waves to exist which, emanating from the shear layer, give rise to additional radiative instability, previously examined in /2/ for a flow with tangential velocity discontinuity. The influence of the outer boundaries on the stability of the shear flow is clarified and the analytical results obtained are compared with numerical calculations carried out in /3, 4/ for certain models with smooth velocity and density profiles.
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