What is it about?
Understanding stability of flows often offer an insight into more complicated features such as turbulence and transition. The three dimensional lift-up effect is known to be more effective than two dimensional mechanisms for short time amplification of a disturbance. Here we show a two dimensional mechanism in stably stratified flows to be analogous to the lift-up effect, and yielding large disturbance energy growth at short times.
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Why is it important?
An initial value problem approach is considered to obtain two dimensional transiently growing disturbances in stratified flows. Such methods are useful in systems when the choice for a measure of an optimal is not readily apparent. The large kinetic energy growth obtained via two dimensional disturbances here is not seen in constant density flows, where the lift-up effect is necessary for the amplification of the disturbance.
Perspectives
This article shows a different approach to obtaining growing solutions of the perturbation equations in a stratified system. The possibility of two dimensional mechanism yielding large disturbance kinetic energy growth could be of interest to many in the field of transition in fluid flows.
Mr Sharath Jose
Indian Institute of Technology Madras
Read the Original
This page is a summary of: Analytical solutions for algebraic growth of disturbances in a stably stratified shear flow, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, August 2015, Royal Society Publishing,
DOI: 10.1098/rspa.2015.0267.
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