eCite Digital Repository

The Bernoulli Equation in PDE form modelling Interfacial Fluid Flows

Citation

Brideson, M and Forbes, L, The Bernoulli Equation in PDE form modelling Interfacial Fluid Flows, Proceedings of the 49th ANZIAM Conference, 3-7 February 2013, Newcastle, Australia, pp. 47. ISBN 978-0-9873276-1-1 (2013) [Conference Extract]


Preview
PDF (Book of Abstracts)
Pending copyright assessment - Request a copy
15Mb
  

Abstract

We consider two inviscid, immiscible, and incompressible uids separated by a sharp interface. The outer uid ows in a so-called straining pattern about the inner uid, which contains a source. When the inner uid exhibits cylindrical symmetry (line source) or spherical symmetry (point source), the shape of the interface is described by a non-linear rst order PDE. For both geometries the PDE resembles the famous non-linear rst order ODE, the Bernoulli Equation. Remarkably, the power law variable substitution technique used in the single variable case is also e ective in this multivariable case, and allows us to obtain closed-form solutions to these nonlinear PDEs. The examples presented may have applications in astrophysics.

Item Details

Item Type:Conference Extract
Keywords:Bernoulli equation, straining flow
Research Division:Engineering
Research Group:Interdisciplinary Engineering
Research Field:Fluidisation and Fluid Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Brideson, M (Dr Michael Brideson)
Author:Forbes, L (Professor Larry Forbes)
ID Code:90361
Year Published:2013
Deposited By:Mathematics and Physics
Deposited On:2014-04-01
Last Modified:2014-06-10
Downloads:0

Repository Staff Only: item control page