TY - JOUR
T1 - On the approach to the critical solution in leading order thin-film coating and rimming flow
AU - Tougher, C.H.
AU - Wilson, S.K.
AU - Duffy, B.R.
PY - 2009/6
Y1 - 2009/6
N2 - The approach to the critical solution in leading order coating and rimming flow of a thin fluid film on a uniformly rotating horizontal cylinder is investigated. In particular, it is shown that the weight of the leading order 'full film' solution approaches its critical maximum value with logarithmically infinite slope as the volume flux approaches its critical value.
AB - The approach to the critical solution in leading order coating and rimming flow of a thin fluid film on a uniformly rotating horizontal cylinder is investigated. In particular, it is shown that the weight of the leading order 'full film' solution approaches its critical maximum value with logarithmically infinite slope as the volume flux approaches its critical value.
KW - thin-film flow
KW - coating and rimming flow
KW - critical solution
UR - http://www.elsevier.com/
UR - http://www.sciencedirect.com/science/article/pii/S0893965908003029
U2 - 10.1016/j.aml.2008.07.015
DO - 10.1016/j.aml.2008.07.015
M3 - Article
VL - 22
SP - 882
EP - 886
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
SN - 0893-9659
IS - 6
ER -