On the Growth Rate of an Unstable Disturbance in a Gravitationally Stratified Shear Flow

F. Einaudi Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder 80302

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D. P. Lalas Dept. of Mechanical Engineering Sciences, Wayne State University, Detroit, Mich. 48202

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Abstract

An improved upper bound is given for the growth rate of an unstable disturbance in a gravitationally stratified compressible shear flow, with heat conduction and viscous effects neglected. It is also shown that such a growth rate depends essentially on the characteristics of the flow in the neighborhood of the critical layer.

Abstract

An improved upper bound is given for the growth rate of an unstable disturbance in a gravitationally stratified compressible shear flow, with heat conduction and viscous effects neglected. It is also shown that such a growth rate depends essentially on the characteristics of the flow in the neighborhood of the critical layer.

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