An exact solution of visco-capillary flow in an inclined channel

  • M. Scholle
  • N. Aksel

DOI: 10.1007/PL00001572

Cite this article as:
Scholle, M. & Aksel, N. Z. angew. Math. Phys. (2001) 52: 749. doi:10.1007/PL00001572

Abstract.

An exact solution of visco-capillary flow in an inclined channel is presented. Assuming that the flow is steady and unidirectional the surface shape and the velocity profile are obtained as exact solutions of the Navier-Stokes equations valid for arbitrary Reynolds numbers.¶The contributions of the determining parameters of the problem to the surface shape and to the velocity profile are discussed. A structural change in the velocity profile, the 'velocity overshoot', is found for cases with meniscus elevation higher than the apex height of the flow. The theoretical findings are compared to experimental results.

Key words. Channel flow, visco-capillary flow, meniscus elevation, velocity overshoot, thin films. 

Copyright information

© Birkhäuser Verlag, Basel, 2001

Authors and Affiliations

  • M. Scholle
    • 1
  • N. Aksel
    • 1
  1. 1.Lehrstuhl für Technische Mechanik und Strömungsmechanik, University of Bayreuth, Universitätsstrasse 30, D-95440 Bayreuth, GermanyDE

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