Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Free-surface film flow over topography : full three-dimensional finite element solutions.

Veremieiev, S. and Thompson, H.M. and Gaskell, P.H. (2015) 'Free-surface film flow over topography : full three-dimensional finite element solutions.', Computers and fluids., 122 . pp. 66-82.

Abstract

An efficient Bubnov-Galerkin finite element formulation is employed to solve the Navier-Stokes and continuity equations in three-dimensions for the case of surface-tension dominated film flow over substrate topography, with the free-surface location obtained using the method of spines. The computational challenges encountered are overcome by employing a direct parallel multi-frontal method in conjunction with memory-efficient out-of-core storage of matrix co-factors. Comparison is drawn with complementary computational and experimental results for low Reynolds number flow where they exist, and a range of new benchmark solutions provided. These, in turn, are compared with corresponding solutions, for non-zero Reynolds number, from a simplified model based on the long-wave approximation; the latter is shown to produce comparatively acceptable results for the free-surface disturbance experienced, when the underpinning formal restrictions on geometry and capillary number are not exceeded.

Item Type:Article
Additional Information:Liquid film flow, Finite elements, Topography, Long-wave approximation, Navier-Stokes.
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
Download PDF
(3357Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.compfluid.2015.08.016
Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:14 August 2015
Date deposited:21 August 2015
Date of first online publication:01 September 2015
Date first made open access:01 September 2016

Save or Share this output

Export:
Export
Look up in GoogleScholar