Open mathematical problems regarding non-Newtonian fluids.
R45 - R51.
Available under License : See the attached licence file.
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.
|Title:||Open mathematical problems regarding non-Newtonian fluids|
|Open access status:||An open access version is available from UCL Discovery|
|Additional information:||© 2012 IOP Publishing Ltd & London Mathematical Society|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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