Transient growth in parallel two-phase flow: Analogies and differences with single-phase flow

Physics of Fluids

Volumn 10, Issue 8, 1998, Pages 2099-2101

  Van Noorden, T L ^a,b,d   Boomkamp, P A M ^b,c   Knaap, M C ^a,b   Verheggen, T M M ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b SHELL RESEARCH AND TECHNOLOGY CENTRE   (Netherlands)

^c UNIVERSITY OF TWENTE   (Netherlands)

^d VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11744298236     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869724     Document Type: Article

References (11)

1. L. N. Trefethen, A. E. Trefethen, S. C. Reddy, and T. A. Driscoll, "Hydrodynamic stability without eigenvalues," Science 261, 578 (1993).
2. K. M. Butler and B. F. Farrell, "Three-dimensional optimal perturbations in viscous shear flow," Phys. Fluids A 4, 1637 (1992).
3. A. P. Hooper and M. South, "Eigenvalues and disturbance growth in channel flows of two superposed viscous fluids," in Advances in Multi-Fluid Flow, Proceedings of the AMS-IMS-SIAM Conference Analysis of Multi-Fluid Flows and Interfacial Instabilities, edited by Y. Renardy (SIAM, Philadelphia, 1996).
4. P. J. Olsson and D. S. Henningson, "Optimal disturbance growth in watertable flow," Stud. Appl. Math. 94, 183 (1994).
5. B. F. Farrell and P. J. Ioannou, "Transient development of perturbations in stratified shear flow," J. Atmos. Sci. 50, 2201 (1993).
6. B. F. Farrell and P. J. Ioannou, "Generalized stability theory. Part I: Autonomous operators," J. Atmos. Sci. 53, 2025 (1996).
7. T. M. Kao and C. Park, "Experimental investigations of the stability of channel flows. Part 2. Two-layered co-current flow in a rectangular channel," J. Fluid Mech. 52, 401 (1972).
8. P. A. M. Boomkamp, B. J. Boersma, R. H. M. Miesen, and G. V. Beijnon, "A Chebyshev collocation method for solving two-phase flow stability problems," J. Comput. Phys. 132, 191 (1997).
9. A. P. Hooper and R. Grimshaw, "Two-dimensional disturbance growth of linearly stable viscous shear flows," Phys. Fluids 8, 1424 (1996).
10. P. A. M. Boomkamp and R. H. M. Miesen, "Classification of instabilities in parallel two-phase flow," Int. J. Multiphase Flow 4, 67 (1997).
11. G. Yiantsios and B. G. Higgins, "Linear stability of plane Poiseuille flow of two superposed fluids," Phys. Fluids 31, 3225 (1988).