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Compressibility effects on outflows in a two-fluid system. 1. Line source in cylindrical geometry
Citation
Krzysik, OA and Forbes, LK, Compressibility effects on outflows in a two-fluid system. 1. Line source in cylindrical geometry, Journal of Engineering Mathematics, 107, (1) pp. 133-150. ISSN 0022-0833 (2017) [Refereed Article]
Copyright Statement
© Springer Science+Business Media B.V. 2017
DOI: doi:10.1007/s10665-017-9922-x
Abstract
A two-dimensional line source outflow is considered, in which the evolution of a sharp interface separating an incompressible fluid from a bounding weakly compressible gas is analysed. Linear theory is applied, assuming that anisotropies in the source outflow are small, to develop an approximate solution for the interfacial evolution. The simplest solutions to the governing linearised equations require the presence of a high-order velocity singularity at the location of the line source. A spectral method is also developed to capture the nonlinear behaviour of the flow; after some finite time, curvature singularities are found to develop on the interface. Comparisons are made between the stability of the interface and its analogue which separates two incompressible fluids. It is found that when the bounding fluid is weakly compressible rather than incompressible, the stability of the interface is significantly increased.
Item Details
Item Type: | Refereed Article |
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Keywords: | cylindrical outflow, Rayleigh-Taylor instability, spectral methods, weakly compressible gas, Bell-Plesset effects |
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 the mathematical sciences |
UTAS Author: | Krzysik, OA (Mr Oliver Krzysik) |
UTAS Author: | Forbes, LK (Professor Larry Forbes) |
ID Code: | 123179 |
Year Published: | 2017 |
Funding Support: | Australian Research Council (DP140100094) |
Web of Science® Times Cited: | 1 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2017-12-19 |
Last Modified: | 2018-04-27 |
Downloads: | 0 |
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