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Effect of surfactant on the stability of film flow down an inclined plane

Published online by Cambridge University Press:  13 December 2004

M. G. BLYTH
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
C. POZRIKIDIS
Affiliation:
Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, USA

Abstract

The effect of an insoluble surfactant on the stability of the gravity-driven flow of a liquid film down an inclined plane is investigated by a normal-mode analysis. Numerical solutions of the Orr–Sommerfeld equation reveal the occurrence of a stable Marangoni mode and a possibly unstable Yih mode, and demonstrate that the primary role of the surfactant is effectively to raise the critical Reynolds number at which instability is first encountered.

Type
Papers
Copyright
© 2004 Cambridge University Press

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