On the Stability of Nonhomogeneous Shear Flows
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概要
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The equilibrium of a parallel shear flow in an inviscid, non-heat-conducting, incompressible fluid of density ρ which varies as a function of the vertical coordinate z is examined in the present paper. The principal results established are as follows; (a) Neglecting the effect of heterogeneity of the fluid on the inertia in comparison to its effect on the potential energy, the non-existance of non-singular as well as singular neutral modes has been proved for any general velocity profile U(z) provided the local Richardson number J(z) is less than -1 every where in the flow domain (b) a necessary condition for the existance of stable modes is obtaind under most general conditions. (c) bounds for the phase velocity, c_γ, has been obtained for stable modes and (d) a sufficient condition of instability is established for a certain class of velocity and density distributions.
- 社団法人応用物理学会の論文
- 1969-07-05
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