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Finite element simulation of dynamic wetting flows as an interface formation process
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Sprittles, James E. and Shikhmurzaev, Yulii D. (2013) Finite element simulation of dynamic wetting flows as an interface formation process. Journal of Computational Physics, 233 . pp. 34-65. doi:10.1016/j.jcp.2012.07.018 ISSN 0021-9991.
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Official URL: http://dx.doi.org/10.1016/j.jcp.2012.07.018
Abstract
A mathematically challenging model of dynamic wetting as a process of interface formation has been, for the first time, fully incorporated into a numerical code based on the finite element method and applied, as a test case, to the problem of capillary rise. The motivation for this work comes from the fact that, as discovered experimentally more than a decade ago, the key variable in dynamic wetting flows — the dynamic contact angle — depends not just on the velocity of the three-phase contact line but on the entire flow field/geometry. Hence, to describe this effect, it becomes necessary to use the mathematical model that has this dependence as its integral part. A new physical effect, termed the ‘hydrodynamic resist to dynamic wetting’, is discovered where the influence of the capillary’s radius on the dynamic contact angle, and hence on the global flow, is computed. The capabilities of the numerical framework are then demonstrated by comparing the results to experiments on the unsteady capillary rise, where excellent agreement is obtained. Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution. The appendix gives a user-friendly step-by-step guide specifying the entire implementation and allowing the reader to easily reproduce all presented results, including the benchmark calculations.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Fluid mechanics -- Mathematical models, Wetting -- Simulation methods -- Research, Computational fluid dynamics | ||||
Journal or Publication Title: | Journal of Computational Physics | ||||
Publisher: | Academic Press Inc. Elsevier Science | ||||
ISSN: | 0021-9991 | ||||
Official Date: | 2013 | ||||
Dates: |
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Volume: | 233 | ||||
Page Range: | pp. 34-65 | ||||
DOI: | 10.1016/j.jcp.2012.07.018 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 10 May 2016 | ||||
Date of first compliant Open Access: | 11 May 2016 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Open Access Version: |
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