Long-wave oscillatory Marangoni instability in a horizontal liquid layer

Journal of Applied Mathematics and Mechanics

Volumn 71, Issue 5, 2007, Pages 755-761

  Zen'kovskaya, S M ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; NUMBER THEORY; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING; SPECTRUM ANALYSIS;

DEFORMABLE BOUNDARY; PRANDTL NUMBERS; TRANSCENDENTAL EQUATIONS;

LIQUIDS;

EID: 38349081160     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappmathmech.2007.11.008     Document Type: Article

References (10)

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2. Smith K.A. On convective instability induced by surface-tension gradients. J Fluid Mech 24 2 (1966) 401-414
3. Takashima M. Surface tension driven instability in a horizontal liquid layer with a deformable free surface. I. Stationary convection. J Phys Soc Japan 50 8 (1981) 2745-2750
4. Regnier V.C., and Lebon G. Time-growth and correlation length of fluctuations in thermocapillary convection with surface deformation. Quart J Mech Appl Math 48 1 (1995) 57-75
5. Wilson S.K., and Thess A. On the linear growth rates of the long-wave modes in Bénard-Marangoni convection. Phys Fluids 9 8 (1997) 2455-2457
6. Takashima M. Surface tension driven instability in a horizontal liquid layer with a deformable free surface. II. Oberstability. J Phys Soc Japan 50 8 (1981) 2751-2756
7. Hashim I., and Wilson S.K. The onset of oscillatory Marangoni convection in a semi-infinitely deep layer of fluid. ZAMP 50 (1999) 546-558
8. Zen'kovskaya S.M., and Shleikel' A.L. Effect of high-frequency vibration on the onset of Marangoni convection in a horizontal liquid layer. Prikl Mat Mekh 66 4 (2002) 572-582
9. Andreyev V.K., Zakhvatayev V.Y., and Ryabitskii Y.A. Thermocapillary Instability (2000), Nauka, Novosibirsk
10. Zen'kovskaya S.M., Novosyadlyi V.A., and Shleikel' A.L. The effect of vertical oscillations on the onset of thermocapillary convection in a horizontal layer. Prikl Mat Mekh 71 2 (2007) 277-288