Abstract
We present shapes of deep experimental cells in viscous directional growth. For parity symmetric cells, the experimental shapes are compared with numerically computed shapes of stable Saffman-Taylor finger with surface tension. The cells that break the parity symmetry are compared with new analytical solutions of the Saffman-Taylor problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Mullins W.W. and Sekerka R.F. (1964) J. of Appl. Phys. 35, 444.
Saffman P.G. and Taylor G.I. (1958) Proc. Roy. Soc. London, A 245, 312.
Bensimon D.,Kadanoff L.P.,Liang S.,Shraiman B.I.,and Tang C. (1986)Rev. of Modem Phys., 58, 977.
de Cheveigné S., Guthmann C., and Lebrun M.M. (1986) J. Phys. (Paris)472095
Bechhoefer J., Simon A., Libchaber A. and Oswald P. (1989)Phys. Rev. A402042.
Hakim V., Rabaud M., Thomé H. and Couder Y., to appear in the proceedings of Nato Advanced Research Workshop, (Cargèse 1988) “New Trends In Nonlinear Dynamics and Pattern Forming Phenomena: The Geometry of Nonequilibrium”, editors P. Coullet and P. Huerre.
Rabaud M., Michalland S. and Couder Y. (1990) Phys. Rev. Lett.64184.
Couder Y., Michalland S., Rabaud M. and Thomé H., to appear in the proceedings of Nato Advanced Research Workshop, (Streitberg, September 1989) “Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems”, editors F.H. Busse and L. Kramer.
Kurowski P. (April 1990) Thèse de l’Université Paris VII.
McLean J.W. and Saffman P.G. (1981) J. Fluid Mech.102455.
Dombre T. and Hakim V. (1987) Phys. Rev. A362811.
Mashaal M., Ben Amar M. and Hakim V. (1990) Phys. Rev. A414421.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Rabaud, M., Hakim, V. (1991). Shape of Stationary and Travelling Cells in the Printer’s Instability. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_19
Download citation
DOI: https://doi.org/10.1007/978-94-011-3442-2_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5522-2
Online ISBN: 978-94-011-3442-2
eBook Packages: Springer Book Archive