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Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface

Published online by Cambridge University Press:  26 April 2006

H. K. Kuiken
H. K. Kuiken
Affiliation:
Philips Research Laboratories, P.O. Box 80.000, 5600 JA Eindhoven, The Netherlands
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Abstract

A boundary-element method is applied to solve the equations describing the deformation of a two-dimensional liquid region under the influence of gradients of the curvature of its outer boundary. This research is motivated by a desire to obtain a better understanding of viscous sintering processes in which a granular compact is heated to a temperature at which the viscosity of the constituent material becomes low enough for surface tension to cause adjacent particles to deform and coalesce. The boundary-element method is capable of showing how a moderately curved initial shape transforms itself into a circle. Initial shapes showing more extreme curvature gradients, which are relevant in the initial stages of a sintering process, cannot be dealt with by the boundary-element method in its present form. The numerical solution of the continuous model shows a tendency to create oscillations in the outer boundary of the liquid region. On the other hand, an analytical small-amplitude analysis shows that rapid oscillations vanish exponentially fast.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 214 , May 1990 , pp. 503 - 515
Copyright
© 1990 Cambridge University Press

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