Abstract
The stability of the laminar mixing region between two uniform streams is investigated by numerically solving the linear sixth-order equation for the disturbance amplitude function. This equation includes the effects of both viscosity and heat-conduction and is, therefore, regular at the critical point, where the mean flow velocity and disturbance phase speed are equal. Both the neutral stability curve and curves of constant amplification rate are computed for various Richardson numbers. The results show that the damping effects of diffusion are quite small and, therefore, that the Richardson number is the dominant parameter governing the stability of the flow. Streamlines are computed for neutral disturbances and it is found that, in the inviscid limit for long waves, the flow pattern approaches the configuration obtained previously by Taylor in his study of a discontinuous three-layer model.
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