Marangoni convection and heat transfer in thin liquid films on heated walls with topography: Experiments and numerical study

Physics of Fluids

Volumn 17, Issue 6, 2005, Pages 1-13

  Alexeev, Alexander ^a,b   Gambaryan Roisman, Tatiana ^a   Stephan, Peter ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; FLOW PATTERNS; HEAT CONVECTION; HEAT TRANSFER; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; TEMPERATURE MEASUREMENT; THIN FILMS;

FILM RUPTURE; THERMOCAPILLARY-INDUCED MOTION; THIN LIQUID FILMS; VOLUME-OF-FLUID METHODS;

LIQUIDS;

HEAT TRANSFER;

EID: 21244483883     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1936933     Document Type: Article

References (31)

1. Y. Fujita, "Boiling and evaporation of falling film on horizontal tubes and its enhancement on grooved tubes," in Heat Transfer Enhancement of Heat Exchangers, edited by S. Kakaç, A. E. Bergles, F. Mayinger, and H. Yuncu (Kluwer, Dordrecht, The Netherlands, 1998), p. 325.
2. T. Gambaryan-Roisman and P. Stephan, "Analysis of falling film evaporation on grooved surfaces," J. Enhanced Heat Transfer JETRE7 1065-5131 10, 369 (2003).
3. T. Gambaryan-Roisman and P. Stephan, "Falling films in micro- and minigrooves: Heat transfer and flow stability," Therm. Sci. Eng. TSENFR 0918-9963 11, 43 (2003).
4. V. G. Levich, Physicochemical Hydrodynamics (Prentice-Hall, London, 1962).
5. J. Xu and A. Zebib, "Oscillatory two- and three-dimensional thermocapillary convection," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098001232 364, 187 (1998).
6. P. Colinet, J. C. Legros, and M. G. Velarde, Nonlinear Dynamics of Surface-Tension-Driven Instabilities (Wiley, New York, 2001).
7. A. A. Nepomnyashchy, M. G. Velarde, and P. Colinet, Interfacial Phenomena and Convection (Chapman and Hall, New York, 2001).
8. O. E. Shklyaev and A. A. Nepomnyashchy, "Thermocapillary flows under an inclined temperature gradient," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003007687 504, 99 (2004).
9. J. R. A. Pearson, "On convection cells induced by surface tension," J. Fluid Mech. JFLSA7 0022-1120 4, 489 (1958).
10. R. F. Ismagilov, D. Rosmarin, D. H. Gracias, A. D. Stroock, and G. M. Whitesides, "Competition of intrinsic and topographically imposed patterns in Benard-Marangoni convection," Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1384473 79, 439 (2001).
11. T. Gambaryan-Roisman, A. Alexeev, and P. Stephan, "Effect of the microscale wall topography on the thermocapillary convection within a heated liquid film," Proceedings of the Third International Symposium on Two-Phase Flow Modelling and Experimentation, edited by G. P. Celata, P. Di Marco, A. Mariani, and R. K. Shah (Edizioni ETS, Pisa, Italy, 2004), ISBN 88-467-1075-4, p. IV-2185.
12. J. H. Ferziger and M. Peric, Computational Methods for Fluid Dynamics (Springer, New York, 2002).
13. R. Scardovelli and S. Zaleski, "Direct numerical simulation of free-surface and interfacial flow," Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.31.1.567 31, 567 (1999).
14. D. B. Kothe and R. C. Mjolsness, "RIPPLE: A new model for incompressible flows with free surfaces," AIAA J. AIAJAH 0001-1452 11, 2694 (1992).
15. D. Gao, N. B. Morley, and V. Dhir, "Numerical simulation of wavy falling film flow using VOF method," J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2003.07.013 192, 624 (2003).
16. M. Francois and W. Shyy, "Computations of drop dynamics with the immersed boundary method, part 2: Drop impact and heat transfer," Numer. Heat Transfer, Part B NHBFEE 1040-7790 44, 119 (2003).
17. M. Hase and B. Weigand, "Transient heat transfer of deforming droplets at high Reynolds numbers," Int. J. Numer. Methods Heat Fluid Flow INMFEM 0961-5539 14, 85 (2004).
18. S. W. J. Welch and J. Wilson, "A volume of fluid based method for fluid flows with phase change," J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.2000.6481 160, 662 (2000).
19. D. K. Agarwal, S. W. J. Welch, G. Biswas, and F. Durst, "Planar simulation of bubble growth in film boiling in near-critical water using a variant of VOF method," ASME J. Heat Transfer JHTRAO 0022-1481 10.1115/1.1737779 126, 329 (2004).
20. G. P. Sasmal and J. I. Hochstein, "Marangoni convection with a curved and deforming free surface in a cavity," ASME J. Fluids Eng. JFEGA4 0098-2202 116, 577 (1994).
21. G. Wang, "Finite element simulations of free surface flows with surface tension in complex geometries," ASME J. Fluids Eng. JFEGA4 0098-2202 10.1115/1.1466458 124, 584 (2002).
22. A. K. Sen and S. H. Davis, "Steady thermocapillary flows in two-dimensional slots," J. Fluid Mech. JFLSA7 0022-1120 121, 163 (1982).
23. C.-W. Shu and S. Osher, "Efficient implementation of essentially non-oscillatory shock-capturing schemes," J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(88)90177-5 77, 439 (1988).
24. C.-W. Shu and S. Osher, "Efficient implementation of essentially non-oscillatory shock-capturing schemes, II," J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(89)90222-2 83, 32 (1989).
25. P. Wesseling, An Introduction to Multigrid Methods (Wiley, New York, 1991).
26. J. U. Brackbill, D. B. Kothe, and C. Zemach, "A continuum method for modeling surface tension," J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(92)90240-Y 100, 335 (1992).
27. M. Sussman, "A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles," J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(03)00087-1 187, 110 (2003).
28. K. Eckert, M. Bestehorn, and A. Thess, "Square cells in surface-tension-driven Bernard convection: Experiment and theory," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112097007842 356, 155 (1998).
29. T. Boeck and A. Thess, "Power-law scaling in Benard-Marangoni convection at large Prandtl numbers," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.027303 64, 027303 (2001).
30. A. Oron, S. N. Davis, and S. G. Bankoff, "Long-wave evolution of thin liquid films," Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/ RevModPhys.69.931 69, 931 (1997).
31. S. J. vanHook, M. F. Schatz, J. B. Swift, W. D. McCormick, and H. L. Swinney, "Long-wavelength surface-tension-driven Benard convection: experiment and theory," J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112097006101 345, 45 (1997).