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Exact solutions for interfacial outflows with straining
Citation
Forbes, LK and Brideson, MA, Exact solutions for interfacial outflows with straining, The ANZIAM Journal, 55, (3) pp. 232-244. ISSN 1446-1811 (2014) [Refereed Article]
Copyright Statement
Copyright 2014 Australian Mathematical Society
DOI: doi:10.1017/S1446181114000042
Abstract
In models of fluid outflows from point or line sources, an interface is present, and it
is forced outwards as time progresses. Although various types of fluid instabilities
are possible at the interface, it is nevertheless of interest to know the development of
its overall shape with time. If the fluids on either side are of nearly equal densities,
it is possible to derive a single nonlinear partial dierential equation that describes
the interfacial shape with time. Although nonlinear, this equation admits a simple
transformation that renders it linear, so that closed-form solutions are possible. Two
such solutions are illustrated; for a line source in a planar straining flow and a point
source in an axisymmetric background flow. Possible applications in astrophysics are
discussed.
Item Details
Item Type: | Refereed Article |
---|---|
Keywords: | interfacial fluid outflow, Bernoulli equation, straining flow, closed-form solution, hydrodynamics |
Research Division: | Engineering |
Research Group: | Fluid mechanics and thermal engineering |
Research Field: | Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the mathematical sciences |
UTAS Author: | Forbes, LK (Professor Larry Forbes) |
UTAS Author: | Brideson, MA (Dr Michael Brideson) |
ID Code: | 94726 |
Year Published: | 2014 |
Web of Science® Times Cited: | 2 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2014-09-16 |
Last Modified: | 2017-11-01 |
Downloads: | 0 |
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