publication . Article . 2004

Gravity-driven flow of continuous thin liquid films on non-porous substrates with topography

Gaskell, P.H.; Jimack, P.K.; Sellier, M.; Thompson, H.M.; Wilson, M.C.T.;
Open Access English
  • Published: 25 Jun 2004
  • Publisher: Cambridge University Press
  • Country: United Kingdom
A range of two- and three-dimensional problems is explored featuring the gravity-driven flow of a continuous thin liquid film over a non-porous inclined flat surface containing well-defined topography. These are analysed principally within the framework of the lubrication approximation, where accurate numerical solution of the governing nonlinear equations is achieved using an efficient multigrid solver.\ud \ud Results for flow over one-dimensional steep-sided topographies are shown to be in very good agreement with previously reported data. The accuracy of the lubrication approximation in the context of such topographies is assessed and quantified by comparison...
arXiv: Physics::Fluid Dynamics
37 references, page 1 of 3

Aksel, N. 2000 Influence of the capillarity on a creeping flow down an inclined plane with an edge. Arch. Appl. Mech. 70, 81-90. [OpenAIRE]

Bertozzi, A. & Brenner, M. P. 1997 Linear stability and transient growth in driven contact lines. Phys. Fluids 9, 530-539. [OpenAIRE]

Brandt, A. 1977 Multi-level adaptive solutions to boundary-value problems. Maths Comput. 31-138, 333-390.

Christodoulou, K. N., Kistler, S. F. & Schunk, P. R. 1997 Advances in computational methods for free surface flows. In Liquid Film Coating (ed. S. F. Kistler & P. M. Schweizer), pp. 297-366. Chapman and Hall.

Christodoulou, K. N. & Scriven, L. E. 1989 The fluid mechanics of slide coating. J. Fluid Mech. 208, 321-354.

Decre´, M. M. J. & Baret, J.-C. 2003 Gravity-driven flows of low-viscosity liquids over twodimensional topographies. J. Fluid Mech. 487, 147-166. [OpenAIRE]

Decre´, M. M. J., Fernandez-Parent, C. & Lammers, J. H. 1998 Flow of a gravity driven thin liquid film over one-dimensional topographies. Philips Research, Unclassified Report NL-UR 823/98.

Decre´, M. M. J., Fernandez-Parent, C. & Lammers, J. H. 1999 Flow of a gravity driven thin liquid film over one-dimensional topographies: a tripartite approach. Proc. 3rd European Coating Symposium (ed. F. Durst & H. Raszillier), pp. 151-156. Springer.

Fawehinmi, O. B., Gaskell, P. H. & Thompson, H. M. 2002 Finite element analysis of flow in a cavity with internal blockages. Proc. Inst. Mech. Engrs C 216, 517-530. [OpenAIRE]

Gaskell, P. H., Jimack, P. K., Sellier, M. & Thompson, H. M. 2004 Efficient and accurate time-adaptive multigrid simulations of droplet spreading. Intl J. Numer. Meth. Fluids (In press). [OpenAIRE]

Gaskell, P. H., Savage, M. D., Summers, J. L. & Thompson, H. M. 1995 Modelling and analysis of meniscus roll coating. J. Fluid Mech. 298, 113-137. [OpenAIRE]

Gaskell, P. H., Savage, M. D., Summers, J. L. & Thompson, H. M. 1998 Stokes flow in closed, rectangular domains. Appl. Math. Modelling 22, 727-743. [OpenAIRE]

Gaskell, P. H., Savage, M. D. & Wilson, M. 1997 Stokes flow in a half filled annulus between rotating coaxial cylinders. J. Fluid Mech. 337, 263-282. [OpenAIRE]

Gramlich, C. M., Kalliadasis, S., Homsy, G. M. & Messer, C. 2002 Optimal levelling of flow over one-dimensional topography by Marangoni stresses. Phys. Fluids 14, 1841-1850. [OpenAIRE]

Hayes, M., O'Brien, S. B. G. & Lammers, J. H. 2000 Green's function of steady flow over a two-dimensional topography. Phys. Fluids 12, 2845-2858.

37 references, page 1 of 3
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue