# The unstable temporal development of axi-symmetric jets of incompressible fluid

@article{Lester2019TheUT, title={The unstable temporal development of axi-symmetric jets of incompressible fluid}, author={Earl S. Lester and Lawrence K. Forbes}, journal={Journal of Engineering Mathematics}, year={2019}, volume={120}, pages={29-42} }

We study the shear-driven instability, of Kelvin–Helmholtz type, that forms at the interface between a cylindrical jet of flowing fluid and its surroundings. The results of an infinitesimal-amplitude theory based on linearising the system about the undisturbed jet are given. A novel numerical model based on the Galerkin spectral method is developed and employed to simulate the non-linear development of the jet in the weakly-compressible Boussinesq regime. Representative results demonstrating…

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