Fully 3D fluid outflow from a spherical source

Authors

DOI:

https://doi.org/10.21914/anziamj.v64.17015

Keywords:

distributed source, interfacial flows, spectral methods, stability

Abstract

We consider fully three-dimensional time-dependent outflow from a source into a surrounding fluid of different density. The source is distributed over a sphere of finite radius. The nonlinear problem is formulated using a spectral approach in which two streamfunctions and the density are represented as a Fourier-type series with time-dependent coefficients that must be calculated. Linearized theories are also discussed and an approximate stability condition for early stages in the outflow is derived. Nonlinear solutions are presented and different outflow shapes adopted by the fluid interface are investigated.

doi:10.1017/S1446181122000098

Author Biographies

Lawrence Forbes, University of Tasmania

Professor of Mathematics, School of Natural Sciences, University of Tasmania, Hobart, TAS Australia.

 

Stephen Walters, University of Tasmania

School of Natural Sciences, University of Tasmania, Hobart, TAS Australia.

 

Published

2022-08-28

Issue

Section

Articles for Printed Issues