Abstract
The sufficient condition for stability of the parallel shear flow of a stratified compressible fluid due to Chimonas is proved by a different method. By the use of this method a sufficient stability condition for the two-dimensional circular flow is obtained: ( V 0 / r ) 2 [ r (ρ 0 '/ρ 0 )-( V 0 / V s ) 2 ]≧[ r ( V 0 / r )'] 2 /4 throughout the flow field, where ρ 0 ( r ) is the density, V 0 ( r ) and V s ( r ) are the speeds of the fluid and the sound, respectively, r is the radial distance and the prime denotes differentiation with respect to r .
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