Abstract
The Rayleigh Taylor Instability is a fluid instability that develops when fluids of different densities are accelerated against their density gradient. Its applications include inertial confinement fusion, supernovae explosion, fossil fuel extraction and nano fabrication.We study Rayleigh Taylor instability developing at an interface with a spatially periodic perturbation under a time varying acceleration using group theoretic methods. For the first time, to our knowledge, both regular and singular nonlinear solutions are found, which correspond to the structure of bubbles and spikes emerging at the interface. We find that the dynamics of bubbles is regular, and the dynamics of spikes is singular in an asymptotic time-regime. The parameters affecting the behaviour of both bubble and spikes are discussed, including the inter-facial shear, which is shown to have a profound effect. The results set key theoretical benchmarks for future analysis.
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Williams, K., Hill, D.L., Abarzhi, S.I. (2021). Regular and Singular Behaviours and New Morphologies in the Rayleigh Taylor Instability. In: de Gier, J., Praeger, C.E., Tao, T. (eds) 2019-20 MATRIX Annals. MATRIX Book Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-030-62497-2_21
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DOI: https://doi.org/10.1007/978-3-030-62497-2_21
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