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Hydrodynamic Instabilities and Turbulence from Part 1 - Fundamentals
The multi-mode instability is the simultaneous growth across many wavelengths. This is closer to the reality of many applications. We provide a detailed treatment of the various stages of development. It is widely believed that many turbulent flows, such as RTI, RMI, and KHI mixing layers, evolve toward self-similarity. Here, the RTI grows quadratically with time, and the suitable proportionality constant is the subject of ongoing research. The growth exponent for RMI is also the subject of ongoing research. I also discuss measurements of these parameters in experiments and simulations arising from multimodal initial perturbations.
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