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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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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