We present three open problems in the mathematical modelling of the flow 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 characterized experimentally but not, so far, fully reproduced either numerically or analytically.The other two are both instabilities.The first is observed experimentally but never 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.
No takes yet. Share an insight, caveat, or question.
Helen J. Wilson (2012) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: