Extension of the Miles-Howard Theorem to the Circular Flows of a Compressible Fluid
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概要
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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.
- 社団法人日本物理学会の論文
- 1972-10-05
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