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

Citation

Lester, ES and Forbes, LK, The unstable temporal development of axi-symmetric jets of incompressible fluid, Journal of Engineering Mathematics, 120, (1) pp. 29-42. ISSN 0022-0833 (2020) [Refereed Article]

Copyright Statement

Copyright (2019) Springer Nature B.V.

DOI: doi:10.1007/s10665-019-10030-w

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:Fluid Jets, Kelvin-Helmholtz instability, spectral methods
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in engineering
UTAS Author:Lester, ES (Mr Earl Lester)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:151992
Year Published:2020
Deposited By:Engineering
Deposited On:2022-08-09
Last Modified:2022-09-01
Downloads:0

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