On the approach to the critical solution in leading order thin-film coating and rimming flow

C.H. Tougher; S.K. Wilson; B.R. Duffy

doi:10.1016/j.aml.2008.07.015

On the approach to the critical solution in leading order thin-film coating and rimming flow

C.H. Tougher, S.K. Wilson, B.R. Duffy

Mathematics And Statistics

Research output: Contribution to journal › Article

7 Citations (Scopus)

91 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	882-886
Number of pages	4
Journal	Applied Mathematics Letters
Volume	22
Issue number	6
DOIs	https://doi.org/10.1016/j.aml.2008.07.015
Publication status	Published - Jun 2009

Keywords

thin-film flow
coating and rimming flow
critical solution

Access to Document

10.1016/j.aml.2008.07.015

Tougher-etal-AML-2009-On-the-approach-to-the-critical-solution-in-leading-orderAccepted author manuscript, 173 KBLicence: CC BY-NC-ND 4.0

Fingerprint Dive into the research topics of 'On the approach to the critical solution in leading order thin-film coating and rimming flow'. Together they form a unique fingerprint.

Cite this

Tougher, C. H., Wilson, S. K., & Duffy, B. R. (2009). On the approach to the critical solution in leading order thin-film coating and rimming flow. Applied Mathematics Letters, 22(6), 882-886. https://doi.org/10.1016/j.aml.2008.07.015

@article{89549b3a3d474a4299e17c406b53db9c,

title = "On the approach to the critical solution in leading order thin-film coating and rimming flow",

abstract = "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.",

keywords = "thin-film flow, coating and rimming flow, critical solution",

author = "C.H. Tougher and S.K. Wilson and B.R. Duffy",

year = "2009",

month = jun,

doi = "10.1016/j.aml.2008.07.015",

language = "English",

volume = "22",

pages = "882--886",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

number = "6",

}

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 -