Abstract.
Starting from an exact solution of a visco-capillary gravity--driven film flow of a Newtonian fluid in an inclined channel, we discuss the special case of thin films. The shape of the free surface, the velocity field and the flow rate are obtained from a pure analytical treatment. Making use of an adequate rescaling with a generalized capillary length we pay special attention to vanishingly thin films where capillary effects become dominant. Our investigations deliver a necessary condition for the flow rate in order to avoid a film rupture.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: October 17, 2002
Rights and permissions
About this article
Cite this article
Scholle, M., Aksel, N. Thin film limit and film rupture of the visco--capillary gravity--driven channel flow. Z. angew. Math. Phys. 54, 517–531 (2003). https://doi.org/10.1007/s00033-003-2090-z
Issue Date:
DOI: https://doi.org/10.1007/s00033-003-2090-z