Wilson, HJ;
(2012)
Open mathematical problems regarding non-Newtonian fluids.
NONLINEARITY
, 25
(3)
R45 - R51.
10.1088/0951-7715/25/3/R45.
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Abstract
We present three open problems in the mathematical modelling of the ow of non-Newtonian fluids. The �first problem is rather long standing: a discontinuity in the dependence of the rise velocity of a gas bubble on its volume. This is very well characterised experimentally but not, so far, reproduced either numerically or analytically. The other two are both instabilities. The �first is observed experimentally but never fully predicted analytically or numerically. In the second instability, numerical studies reproduce the experimental observations but there is as yet no analytical or semi-analytical prediction of the linear instability which must be present.
| Type: | Article |
|---|---|
| Title: | Open mathematical problems regarding non-Newtonian fluids |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/0951-7715/25/3/R45 |
| Publisher version: | http://dx.doi.org/10.1088/0951-7715/25/3/R45 |
| Language: | English |
| Additional information: | © 2012 IOP Publishing Ltd & London Mathematical Society |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1337990 |
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