Abstract
Spatiotemporal intermittency manifests itself by the coexistence of laminar and turbulent domains for the same value of the control parameter. In the Taylor- Dean system, the distributions of laminar domains size after algebraic and exponential regimes allow for a determination of critical properties in an analogy with directed percolation. In the Couette-Taylor system, only algebraic distribution of laminar domains size has been evidenced. A turbulent spiral coexists with laminar spiral destroying the occurrence of exponential regime.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P. Manneville, Structures Dissipatives et turbulence, ed. Alea-CEA Saclay (1991). See also H. Chaté and P. Manneville:’ spatiotemporal intermittency’, In: Turbulence: a tentative dictionary, ed. by P. Tabeling and O. Carodos, Plenum Press, N.Y. (1995), 341, 111-116.
D.J. Tritton, Physical Fluid Dynamics, Oxford University press, Oxford (1989). see also G.B. Schubauer and P.S. Klebano., NACA TN-3489 (1955).
I.J. Wygnanski and F. Champagne, J. Fluid Mech. 59, 281 (1973).
F. Daviaud, J.J. Hegseth, P. Bergé, Phys.Rev. Lett. 69, 2511(1992).
O. Dauchot and F. Daviaud, Phys. Fluids 7, 335(1995). See also O. Dauchot and F. Daviaud, Phys. Fluids 7, 901 (1995).
S. Bottin, O. Dauchot and F. Daviaud, Phys. Rev. Lett. 79, 4377(1997).
D. R. Carlson, S. E. Widnall and M.F. Peters, J. Fluid Mech. 121, 487 (1982). See also M. Nishioka and M. Asai, J. Fluid Mech. 150, 441 (1985).
D Coles, J. Fluid Mech. 21, 385(1965). See also C. Van Atta, J. Fluid Mech 25, 495(1966).
C.D. Andereck, S.S. Liu and H.L. Swinney, J. Fluid Mech. 164, 155 (1986).
M. Degen, I. Mutabazi and C.D. Andereck, Phys. Rev. E 53, 3495(1996).
S. Ciliberto and P. Bigazzi, Phys. Rev. Lett. 60, 286 (1988).
F. Daviaud, M. Bonetti and M. Dubois, Phys. Rev. A 42, 3388 (1990).
H. Willaime, O. Cardoso and P. Tabeling, Phys. Rev. E 48, 288 (1993).
M. Rabaud, S. Michalland and Y. Couder, Phys. Rev. Lett. 64, 184 (1990).
K. Kaneko, Prog. Theo. Phys. 74, 1033 (1985).
H. Chate and P. Manneville, Europhys. Lett. 6, 591 (1988). See also H. Chate and P. Manneville, J. Stat. Phys. 56, 357 (1989).
H. Chate et P. Manneville, Phys. Rev Lett. 58, 112 (1987).
F. Daviaud, J. Lega, P. Bergé, P. Coullet and M. Dubois, Physica D 55, 287 (1992).
R.J. Deissler, J. Stat. Phys. 40, 371 (1985).
H. Chate, Nonlinearity 7, 185(1994).
Y. Pomeau, Physica D 23, 3 (1986).
P. Grassberger and T. Schreiber, Physica D 50, 177 (1991).
K. Coughlin and P.S. Marcus, Phys. Rev. Lett. 77, 2214 (1996).
P.W. Colovas et C.D. Andereck, Phys. Rev. E 55, 2736 (1997).
J.J. Hegseth, C.D. Andereck, F. Hayot and Y. Pomeau, Phys. Rev. Lett. 62, 257 (1989).
F. Hayot and Y. Pomeau, Phys. Rev. E 50, 2019 (1994).
V. Hakim and Y. Pomeau, Eur.J. Mech.B. 10 Suppl., 131 (1991).
I. Mutabazi, J.J. Hegseth, C.D. Andereck and J. Wesfreid, Phys. Rev. Lett. 64, 1729 (1990).
Y. Demay, G. Iooss and P. Laure, Eur. J. Mech. B 11, 621 (1992).
P.G. Drazin and W.H. Reid, Hydrodynamic Stability, Cambridge University Press, N.Y. (1981).
P. Chossat and G. Iooss, The Couette-Taylor problem, Springer-Verlag, N.Y. (1994).
D. Stassinopoulos, J. Zhang, P. Alström and M.T. Levinsen, Phys. Rev. E 50, 1189 (1994).
H. Litschke and K.G. Roesner, Exp. Fluids 24, 201 (1998).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mutabazi, I., Goharzadeh, A., Laure, P. (2000). Spatiotemporal intermittency in Taylor-Dean and Couette-Taylor systems. In: Egbers, C., Pfister, G. (eds) Physics of Rotating Fluids. Lecture Notes in Physics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45549-3_7
Download citation
DOI: https://doi.org/10.1007/3-540-45549-3_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67514-3
Online ISBN: 978-3-540-45549-3
eBook Packages: Springer Book Archive