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Viscous flow and transport with moving free and reactive surfaces
Author(s) -
Murray Paul,
Carey G. F.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620300607
Subject(s) - free surface , mechanics , vorticity , surface (topology) , curvature , materials science , flow (mathematics) , volume of fluid method , stream function , boundary (topology) , geometry , physics , vortex , mathematics , mathematical analysis
Transport of a chemical species through a viscous fluid with reaction at an interface is modelled by a quasi‐static process in which the transient behaviour is dominated by motion of the reactive surface. The reaction is accompanied by a molar volume change which leads to motion of the free surface. A decoupled stream function‐vorticity formulation is introduced in conjunction with a moving finite element method. This also permits convenient treatment of the free and reactive surface boundary conditions. The model is applied to the growth of oxide films on silicon surfaces and reveals the effect of surface curvature on film growth.