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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  and
C. POZRIKIDIS
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
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Abstract

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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
Information
Journal of Fluid Mechanics , Volume 521 , 25 December 2004 , pp. 241 - 250
Copyright
© 2004 Cambridge University Press