A weakly nonlinear analysis of the dynamics of a viscous flow in a symmetric channel with a sudden expansion

Physics of Fluids

Volumn 11, Issue 12, 1999, Pages 3629-3636

  Rusak, Zvi ^a   Hawa, Takumi ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000914959     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870227     Document Type: Article

References (11)

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3. I. J. Sobey, and P. G. Drazin, "Bifurcations of two-dimensional channel flows," J. Fluid Mech. 171, 263 (1986).
4. R. M. Fearn, T. Mullin, and K. A. Cliffe, "Nonlinear flow phenomena in a symmetric sudden expansion," J. Fluid Mech. 211, 595 (1990).
5. F. Durst, J. C. F. Pereira, and C. Tropea, "The plane symmetric sudden expansion flow at low Reynolds numbers," J. Fluid Mech. 248, 567 (1993).
6. M. Shapira, D. Degani, and D. Weihs, "Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels," Comput. Fluids 18, 239 (1990).
7. F. Battaglia, S. J. Tavener, A. K. Kulkarni, and C. L. Merkle, "Bifurcation of low Reynolds number flows in symmetric channels," AIAA J. 35, 1, 99 (1997).
8. N. Alleborn, K. Nandakumar, H. Raszillier, and F. Durst, "Further contributions on the two-dimensional flow in a sudden expansion," J. Fluid Mech. 330, 169 (1997).
9. T. Hawa and Z. Rusak, "The dynamics of a laminar flow in a channel with a sudden expansion," submitted to J. Fluid Mech. (1999).
10. J. D. Cole and J. Kevorkian, Multiple Scale and Singular Perturbation Methods (Springer, Berlin, 1996).
11. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).