Effects of nonuniform heating and thermocapillarity in evaporating films falling down an inclined plate

Acta Mechanica

Volumn 174, Issue 1-2, 2005, Pages 33-49

  Miladinova, S ^a,b   Lebon, G ^a,c  

^a Bulgarian Academy of Sciences ^*

^b BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

^c UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; COATINGS; EVAPORATIVE COOLING SYSTEMS; HEATING; MASS TRANSFER; REYNOLDS NUMBER; SURFACE PHENOMENA; SURFACE WAVES; THERMAL CONDUCTIVITY; THIN FILMS;

EVAPORATING FILMS; FALLING LIQUID FILMS; NONUNIFORM HEATING; THERMOCAPILLARITY;

HEAT TRANSFER;

EID: 12844286921     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-004-0166-2     Document Type: Article

References (24)

1. Spindler, B.: Linear stability of liquid films with interfacial change. Int. J. Heat Mass Transfer 25, 161-173 (1982).
2. Burelbach, J. P., Bankoff, S. G., Davis, S. H.: Nonlinear stability of evaporating/condensing liquid films. J. Fluid Mech. 195, 463-494 (1988).
3. Joo, S. W., Davis, S. H., Bankoff, S. G.: Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers. J. Fluid Mech. 230, 117-146 (1991).
4. Oron, A., Davis, S. H., Bankoff, S. G.: Long-scale evolution of thin liquid films. Rev. Modern Phys. 69, 931-980 (1997).
5. Or, A. C., Kelly, R. E., Cortelezzi, L., Speyer, J. L.: Control of long-wavelength Marangoni-Bénard convection. J. Fluid Mech. 387, 321-341 (1999).
6. Tan, M. J., Bankoff, S. G, Davis, S. H.: Steady thermocapillary flows of thin liquid layers. I. Theory. Phys. Fluids A 2, 313-321 (1990).
7. Burelbach, J. P., Bankoff, S. G., Davis, S. H.: Steady thermocapillary flows of thin liquid layers. II. Experiment. Phys. Fluids A 2, 322-333 (1990).
8. VanHook, S. J., Schatz, M. F., Swift, J. B., McCormick, W. D., Swinney, H. L.: Long-wavelength surface-tension-driven Bénard convection: experiment and theory. J. Fluid Mech. 345, 45-78 (1997).
9. Or, A. C., Kelly, R. E.: The effects of thermal modulation upon the onset of Marangoni-Bénard convection. J. Fluid Mech. 456, 161-178 (2002).
10. Oron, A.: Nonlinear dynamics of irradiated thin volatile liquid films. Phys. Fluids 12, 29-41 (2000).
11. Grigoriev, R. O.: Control of evaporatively driven instabilities of thin liquid films. Phys. Fluids 14, 1895-1909 (2002).
12. Kabov, O. A., Marchuk, I. V., Chupin, V. M.: Thermal imaging study of the liquid film flowing on vertical surface with local heat source. Russ. J. Eng. Thermophys. 6(2), 104-138 (1996).
13. Kabov, O. A.: Formation of regular structures in a falling liquid film upon local heating. Thermophys. Aeromech. 5, 547-551 (1998).
14. Kabov, O. A., Marchuk, I. V., Muzykantov, A. V., Legros, J.-C., Istasse, E., Dewandel, J.L.: Regular structures in locally heated falling liquid films. In: Proc. 2nd Int. Symp. on Two-phase Flow Modelling and Experimentation (Celata, G. P., Marco P. Di., and Shah, R. K., eds.), Pisa 5, pp. 1225-1233 (1999).
15. Scheid, B., Kabov, O., Minetti, C., Colinet, P., Legros, J.-C.: Measurement of free surface deformation by reflectance-Schlieren method. In: Proc. of 3rd European Thermal-Science Conf., Heidelberg 2, pp. 651-657 (2000).
16. Scheid, B., Oron, A., Colinet, P., Thiele, U., Legros, J.-C.: Nonlinear evolution of nonuniformly heated falling liquid films. Phys. Fluids 14, 4130-4151 (2002).
17. Benney, D. J.: Long waves on liquid films. J. Maths. Phys. 45, 150-155 (1966).
18. Miladinova, S., Slavtchev, S., Lebon, G., Legros, J.-C.: Long wave instabilities of nonuniformly heated falling films. J. Fluid Mech. 453, 153-175 (2002).
19. Huerre, P., Monkewitz, P. A.: Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473-537 (1990).
20. Miladinova, S., Staykova, D.: Convective nature of instability in nonuniformly heated falling films. J. Theor. Appl. Mech. 31(4), 101-108 (2001).
21. Miladinova, S., Lebon, G., Slavtchev, S., Legros, J.-C.: The effect of nonuniform heating on long-wave instabilities of evaporating falling films. In: Proc. 6th Workshop on Transport Phenomena in Two-phase Flow. Bourgas, pp. 121-128 (2001).
22. Miladinova, S.: Wave evolution of heated falling films: Numerical analysis using finite-difference method. In: Large-scale scientific computing. Lecture Notes in Computer Science 2179, pp. 425-432, Springer 2001.
23. Pumir, A., Manneville, P., Pomeau, Y.: On solitary waves running down an inclined plane. J. Fluid Mech. 135, 27-50 (1983).
24. Palmer, H. J.: The hydrodynamic stability of rapidly evaporating liquids at reduced pressure. J. Fluid Mech. 75, 487-511 (1976).