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Open mathematical problems regarding non-Newtonian fluids

Wilson, HJ; (2012) Open mathematical problems regarding non-Newtonian fluids. NONLINEARITY , 25 (3) R45 - R51. 10.1088/0951-7715/25/3/R45. Green open access

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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 > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1337990
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