Hydraulic jumps and standing waves in gravity-driven flows of viscous liquids in wavy open channels

Physics of Fluids

Volumn 16, Issue 11, 2004, Pages 3868-3877

  Wierschem, Andreas ^a   Aksel, N ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRAULICS; RESONANCE; THICKNESS MEASUREMENT;

HYDRAULIC JUMPS; LATERAL MODULATION; SURFACE ROLLERS;

VISCOUS FLOW;

PHYSICS;

EID: 8844231863     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1789431     Document Type: Article

References (26)

1. H.-C. Chang and E. A. Demekhin, Complex Wave Dynamics on Thin Films (Elsevier, Amsterdam, 2002).
2. A. Wierschem, M. Scholle, and N. Aksel, "Comparison of different theoretical approaches to experiments on film flow down an inclined wavy channel," Exp. Fluids 33, 429 (2002).
3. A. Wierschem and N. Aksel, "Instability of a liquid film flowing down an inclined wavy plane," Physica D 186, 221 (2003).
4. A. Wierschem, M. Scholle, and N. Aksel, "Vortices in film flow over strongly undulated bottom profiles at low Reynolds numbers," Phys. Fluids 15, 426 (2003).
5. M. Scholle, A. Wierschem, and N. Aksel, "Creeping films with vortices over strongly undulated bottoms," Acta Mech. 168, 167 (2004).
6. R. R. Long, "Some aspects of the flow in stratified fluids. I. A theoretical investigation," Tellus 5, 42 (1953).
7. H. E. Huppert and J. W. Miles, "Lee waves in stratified flow. Part 3. Semielliptical obstacle," J. Fluid Mech. 35, 481 (1969).
8. H. E. Huppert, "Topographic effects in stratified flows," in Fjord Ocean-ography, edited by H. J. Freeland, D. M. Farmer, and C. D. Levings (Plenum, New York, 1980), 117.
9. E. J. Watson, "The radial spread of a liquid jet over a horizontal plane," J. Fluid Mech. 20, 481 (1964).
10. T. Bohr, V. Putkaradze, and S. Watanabe, "Averaging theory for the structure of hydraulic jumps and separation in laminar free-surface flows," Phys. Rev. Lett. 79, 1038 (1997).
11. R. R. Long, "Some aspects of the flow in stratified fluids. II. Experiments with a two-fluid system," Tellus 6, 97 (1954 ).
12. P. G. Baines, "A unified description of two-layer flow over topography," J. Fluid Mech. 146, 127 (1984).
13. H. Chanson and J. S. Montes, "Characteristics of undular hydraulic jumps: Experimental apparatus and flow patterns," J. Hydraul. Eng. 121, 129 (1995).
14. R. Reinauer and W. H. Hager, "Non-breaking undular hydraulic jump," J. Hydraul. Res. 33, 683 (1995).
15. P. M. Austria, "Catastrophe model for the forced hydraulic jump," J. Hydraul. Res. 25, 269 (1987).
16. A. Defina and F. M. Susin, "Hysteretic behavior of the flow under a vertical sluice gate," Phys. Fluids 15, 2541 (2003).
17. T. Bohr, C. Ellegaard, A. E. Hansen, and A. Haaning, "Hydraulic jumps, flow separation and wave breaking: An experimental study," Physica B 228, 1 (1996).
18. S. T. Thoroddseri and L. Mahadevan, "Experimental study of coating flows in a partially-filled horizontally rotating cylinder," Exp. Fluids 23, 1 (1997).
19. J. W. M. Bush and J. M. Aristoff, "The influence of surface tension on the circular hydraulic jump," J. Fluid Mech. 489, 229 (2003).
20. V. Bontozoglou and G. Papapolymerou, "Laminar film flow down a wavy incline," Int. J. Multiphase Flows 23, 69 (1997).
21. M. Vlachogiannis and V. Bontozoglou, "Experiments on laminar film flow along a periodic wall," J. Fluid Mech. 457, 133 (2002).
22. S. Negny, M. Meyer, and M. Prevost, "Study of laminar falling film flowing over a wavy column: Part II. Experimental validation of hydrodynamic model," Int. J. Heat Mass Transfer 44, 2147 (2001).
23. J. Liu, J. D. Paul, and J. P. Gollub, "Measurements of the primary instabilities of film flows," J. Fluid Mech. 250, 69 (1993).
24. H. E. Huppert, "Flow and instability of a viscous current down a slope," Nature (London) 300, 427 (1982).
25. L. Bellon, L. Fourtune, V. Ter Minassian, and M. Rabaud, "Wave-number selection and parity-breaking bifurcation in directional viscous fingering," Phys. Rev. E 58, 565 (1999).
26. V. Bontozoglou, "Laminar film flow along a periodic wall," Computer Modeling in Engineering & Sciences 1, 133 (2000).