The influence of interface profile on the onset of long-wavelength Marangoni convection

Physics of Fluids

Volumn 10, Issue 12, 1998, Pages 3230-3232

  Becerril, Ricardo ^a   Van Hook, Stephen J ^a   Swift, J B ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343080952     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869857     Document Type: Article

References (8)

1. L. E. Scriven and C. V. Sternling, "On cellular convection driven by surface-tension gradients: Effects of mean surface tension and surface viscosity," J. Fluid Mech. 19, 321 (1964).
2. K. A. Smith, "On convective instability induced by surface-tension gradients," J. Fluid Mech. 24, 401 (1966).
3. S. H. Davis, "Thermocapillary instabilities," Annu. Rev. Fluid Mech. 19, 403 (1987).
4. S. J. Van Hook, M. F. Schatz, W. D. McCormick, J. B. Swift, and H. L. Swinney, "Long-wavelength instability in surface-tension-driven Bénard convection," Phys. Rev. Lett. 75, 45 (1995).
5. S. J. Van Hook, M. F. Schatz, J. B. Swift, W. D. McCormick, and H. L. Swinney, "Long-wavelength surface-tension-driven Bénard convection: Experiment and theory," J. Fluid Mech. 345, 45 (1997).
6. The side wall height was reported as 0.015 cm in Ref. 5, but the correct value is 0.02 cm.
7. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987), Chap. 3.
8. S. D. Cohen and A. C. Hindmarsh, "Cvode, a stiff/nonstiff ode solver in C," Comput. Phys. 10, 138 (1996).