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The unstable temporal development of axi-symmetric jets of incompressible fluid
journal contributionposted on 2023-05-21, 11:15 authored by Earl LesterEarl Lester, Lawrence ForbesLawrence Forbes
We study the shear-driven instability, of Kelvinâ€“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 the viability of this model are given, and are shown to agree with the linear analysis for small disturbances, but to develop cylindrical roll-up in the severely non-linear regime.
Publication titleJournal of Engineering Mathematics
Department/SchoolSchool of Natural Sciences
Place of publicationVan Godewijckstraat 30, Dordrecht, Netherlands, 3311 Gz
Rights statementCopyright (2019) Springer Nature B.V.