Abstract
In the present work a numerical model of the heat transfer of a hot free thin viscous film attached on a rectangular colder frame is proposed. If the film is cooled down to its solidification temperature the Stefan boundary condition for the heat flux jump is introduced and a part of the liquid film is transformed into a rigid one. The film is assumed to be under the action of the capillary forces and attractive intermolecular van der Waals forces and to be symmetric to a middle plane. Taking the film thickness as a small parameter, the thermal-dynamic problem in its one-dimensional form is solved numerically by a conservative finite difference scheme on a staggered grid.
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© 2005 Springer-Verlag Berlin Heidelberg
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Tabakova, S., Gromyko, G. (2005). Numerical Modelling of the Free Film Dynamics and Heat Transfer Under the van der Waals Forces Action. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_62
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DOI: https://doi.org/10.1007/978-3-540-31852-1_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
Online ISBN: 978-3-540-31852-1
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