Journal of Fluid Mechanics



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


M. G. BLYTH a1 and C. POZRIKIDIS a2
a1 School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
a2 Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, USA

Article author query
blyth mg   [Google Scholar] 
pozrikidis c   [Google Scholar] 
 

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.

(Received August 5 2004)
(Revised September 14 2004)



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