Abstract
The evolution of a perfectly wetting, gravity-driven, thin, continuously-fed liquid film down an inclined planar substrate is modelled using the long-wave approximation with, as ob-served experimentally, a periodic pattern of flnger-like rivulets forming at the unstable advancing front. The required long-time solution, with the merger of neighbouring rivulets a possibility, is obtained using a purpose designed eficient multigrid methodology incorporating complementary error-controlled automatic spatio-temporal adaptivity and mesh devolution strategies. Critical wavelengths are extracted from the various solutions showing the effect of inclination angle and comparison drawn with the results of a linear stability analysis (LSA) based on the same flow conditions.
Original language | English |
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Number of pages | 0 |
Journal | 7th International Conference on Computational Fluid Dynamics, ICCFD 2012 |
Volume | 0 |
Issue number | 0 |
Publication status | Published - 1 Jan 2012 |