Subharmonic instabilities of Tollmien-Schlichting waves in two-dimensional Poiseuille flow

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 2 B, 1999, Pages 1781-1791

  Drissi, A ^a   Net, M ^a   Mercader, I ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; EQUATIONS OF MOTION; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; REYNOLDS NUMBER; SHEAR WAVES; TRANSITION FLOW;

POISEUILLE FLOW; TOLLMIEN-SCHLICHTING WAVES;

TURBULENT FLOW;

EID: 0032620193     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.60.1781     Document Type: Article

References (17)

1. J. Jimenez, Phys. Fluids 30, 3644 (1987).
2. J. Jimenez, J. Fluid Mech. 218, 265 (1990).
3. I. Soibelman and D. I. Meiron, J. Fluid Mech. 229, 389 (1991).
4. W. C. Reynolds and M. C. Poter, J. Fluid Mech. 27, 465 (1967).
5. P. G. Saffman, Ann. (N.Y.) Acad. Sci. 404, 12 (1983).
6. S. E. Orszag and A. T. Patera, J. Fluid Mech. 128, 347 (1983).
7. T. Price, M. Brachet, and Y. Pomeau, Phys. Fluids A 5, 762 (1993).
8. J. D. Pugh and P. G. Saffman, J. Fluid Mech. 194, 295 (1988).
9. U. Ehrenstein and W. Koch, J. Fluid Mech. 228, 111 (1991).
10. B. A. Malomed, Physica D 29, 155 (1987).
11. O. Thual and S. Fauve, J. Phys. (Paris) 49, 1829 (1988).
12. J. Pratt, I. Mercader, and E. Knobloch, Phys. Rev. E 58, 3145 (1998).
13. B. L. Rozhdestvensky and I. N. Simakin, J. Fluid Mech. 147, 261 (1984).
14. J. P. Zahn, J. Toomre, E. A. Spiegel, and D. O. Gough, J. Fluid Mech. 64, 319 (1974).
15. T. Herbert, in Proceedings of the 5th International Conference on Numerical Methods in Fluid Dynamics, edited by A. I. Van de Vooren and J. Zandbergen (Springer, New York, 1976), p. 235.
16. M. Schnaubelt and F. H. Busse, J. Fluid Mech. 245, 155 (1992).
17. E. Knobloch, in Lectures on Solar and Planetary Dynamos, edited by M. R. E. Proctor and A. D. Gilbert (Cambridge University Press, Cambridge, England, 1994), p. 331.