The unstable temporal development of axi-symmetric jets of incompressible fluid
| Autor: | Lester, Earl S., Forbes, Lawrence K. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Engineering Mathematics 120.1 (2020): 29-42 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10665-019-10030-w |
| Popis: | 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 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. Comment: 14 pages, 4 figures |
| Databáze: | arXiv |
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