Influence of inertia on eddies created in films creeping over strongly undulated substrates

Physics of Fluids

Volumn 16, Issue 12, 2004, Pages 4566-4574

  Wierschem, A ^a   Aksel, N ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; GRAVITATION; SUBSTRATES; SURFACE WAVES;

CREEPING FLOW; EDDIES; FLOW CONDITIONS;

THIN FILMS;

EDDY;

EID: 22544439369     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1811673     Document Type: Article

References (23)

1. H.-C. Chang and E.A. Demekhin, Complex Wave Dynamics on Thin Films (Elsevier, Amsterdam, 2002).
2. M. M. E. Decré and J.-C. Baret, " Gravity-driven flows of viscous liquids over two-dimensional topography, " J. Fluid Mech. 487, 147 (2003).
3. C. Y. Wang, " Liquid film flowing slowly down a wavy incline, " AIChE J. 27, 207 (1981).
4. C. Y. Wang, " Thin film flowing down a curved surface, " ZAMP 35, 533 (1984).
5. 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).
6. C. Pozrikidis, " The flow of a liquid film along a periodic wall, " J. Fluid Mech. 188, 275 (1988).
7. 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).
8. M. Scholle, A. Wierschem, and N. Aksel, " Creeping films with vortices over strongly undulated bottoms, " Acta Mech. 168, 167 (2004).
9. A. Wierschem and N. Aksel, " Instability of a liquid film flowing down an inclined wavy plane, " Physica D 186, 221 (2003).
10. C. S. Yih, " Stability of liquid flow down an inclined plane, " Phys. Fluids 6, 321 (1963).
11. M. Vlachogiannis and V. Bontozoglou, " Experiments on laminar film flow along a periodic wall, " J. Fluid Mech. 457, 133 (2002).
12. V. Bontozoglou and G. Papapolymerou, " Laminar film flow down a wavy incline, " Int. J. Multiphase Flow 23, 69 (1997).
13. N. A. Malamataris and V. Bontozoglou, " Computer aided analysis of viscous film flow along an inclined wavy wall, " J. Comput. Phys. 154, 372 (1999).
14. V. Bontozoglou, " Laminar film flow along a periodic wall, " Comput. Model. Eng. Sci. 1, 133 (2000).
15. C. Pozrikidis, " Effect of surfactants on film flow down a periodic wall, " J. Fluid Mech. 496, 105 (2003).
16. L. Zhao and R. I. Cerro, " Experimental characterization of viscous film flows over complex surfaces, " Int. J. Multiphase Flow 18, 495 (1992).
17. 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).
18. S. Negny, M. Meyer, and M. Prevost, " Study of laminar falling film flowing over a wavy column: Part I. Numerical investigation of the flow pattern and coupled heat and mass transfer, " Int. J. Heat Mass Transfer 44, 2137 (2001).
19. Y. Y. Trifonov, " Viscous liquid film flows over a periodic surface, " Int. J. Multiphase Flow 24, 1139 (1998).
20. M. Horner, G. Matcalfe, S. Wiggins, and J. M. Ottino, " Transport enhancement mechanisms in open cavities, " J. Fluid Mech. 452, 199 (2002).
21. P. D. Miller, C. K. R. T. Jones, A. M. Rogerson, and L. J. Pratt, " Quantifying transport in numerically generated velocity fields, " Physica D 110, 105 (1997).
22. N. Malhotra and S. Wiggins, " Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow, " J. Nonlinear Sci. 8, 401 (1998).
23. W. Merzkirch, Flow Visualization, 2nd ed. (Academic, London, 1987).