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On a new surfactant-driven fingering phenomenon in a Hele-Shaw cell

Published online by Cambridge University Press:  07 June 2004

R. KRECHETNIKOV  and
G. M. HOMSY
R. KRECHETNIKOV
Affiliation:
University of California, Santa Barbara, CA 93106, USA
G. M. HOMSY
Affiliation:
University of California, Santa Barbara, CA 93106, USA
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Abstract

According to the Saffman–Taylor criterion there is no instability when a more viscous fluid is displacing a less viscous one in a Hele-Shaw cell. Yet an instability was observed experimentally (Chan et al. 1997) in the same classical set-up but with the inner walls of the cell coated with surfactant solution. Linear stability analysis is applied to reveal the basic mechanism of this new instability. Asymptotic theory for low capillary numbers allows us to predict the long-wave instability, along with the dependence of the critical parameters on the material properties of the surfactant.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 509 , 25 June 2004 , pp. 103 - 124
Copyright
© 2004 Cambridge University Press

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