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Free-surface thin-film flows over topography: influence of inertia and viscoelasticity

Published online by Cambridge University Press:  26 April 2007

SERGEY SAPRYKIN ,
RUDY J. KOOPMANS  and
SERAFIM KALLIADASIS
SERGEY SAPRYKIN
Affiliation:
Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK
RUDY J. KOOPMANS
Affiliation:
Core R&D, Dow Benelux BV, 4530 AA Terneuzen, The Netherlands
SERAFIM KALLIADASIS*
Affiliation:
Department of Chemical Engineering, Imperial College London, London, SW7 2AZ, UK
*
†Author to whom correspondence should be addressed: S.Kalliadasis@imperial.ac.uk
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Abstract

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We consider viscoelastic flows over topography in the presence of inertia. Such flows are modelled by an integral-boundary-layer approximation of the equations of motion and wall/free-surface boundary conditions. Steady states for flows over a step-down in topography are characterized by a capillary ridge immediately before the entrance to the step. A similar capillary ridge has also been observed for non-inertial Newtonian flows over topography. The height of the ridge is found to be a monotonically decreasing function of the Deborah number. Further, we examine the interaction between capillary ridges and excited non-equilibrium inertia/viscoelasticity-driven solitary pulses. We demonstrate that ridges have a profound influence on the drainage dynamics of such pulses: they accelerate the drainage process so that once the pulses pass the topographical feature they become equilibrium ones and are no longer excited.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 578 , 10 May 2007 , pp. 271 - 293
Copyright
Copyright © Cambridge University Press 2007

References

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