Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T06:51:18.782Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady thermocapillary flows in two-dimensional slots

Published online by Cambridge University Press:  20 April 2006

Asok K. Sen  and
Stephen H. Davis
Asok K. Sen
Affiliation:
Department of Engineering Sciences and Applied Mathematics, The Technological Institute, Northwestern University, Evanston, Illinois 60201, U.S.A. Present address: Department of Mathematical Sciences, Indiana University – Purdue University at Indianapolis, Indianapolis, IN 46205, U.S.A.
Stephen H. Davis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, The Technological Institute, Northwestern University, Evanston, Illinois 60201, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

Liquid in a slot flows owing to a temperature gradient applied along its free surface. The thermal variation of surface tension induces a steady viscous flow directed on the surface from hot to cold, and recirculating below. For small aspect ratios A, giving flow in thin, two-dimensional slots, an asymptotic theory valid for A → 0 is used to obtain the fluid and thermal fields as well as the interfacial shapes. Solutions are obtained for both fixed lines and fixed angles at the contact between the interface and the solid side walls.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 121 , August 1982 , pp. 163 - 186
Copyright
© 1982 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adler J. 1970 Combust. Sci. Tech. 2, 105.
Adler, J. & Sowerby, L. 1970 J. Fluid Mech. 42, 549.
Babskiy, V. G., Sklovskaya, I. L. & Sklovskiy, Y. B. 1973 Space Studies in the Ukraine, No. 1: Space Materials Studies and Technology (ed. G. S. Pisarenko), p. 121. Kiev Nankova Domka.
Birikh, R. V. 1966 J. Appl. Mech. Tech. Phys. 7, 43.
Cormack, D. E., Leal, L. G. & Imberger, J. 1974 J. Fluid Mech. 65, 209.
Davis, S. H., Liu, A.-K. & Sealy, G. R. 1974 J. Fluid Mech. 62, 737.
Levich, V. G. 1962 Physicochemical Hydrodynamics, p. 384. Prentice-Hall.
Ostrach, S. 1977 Physicochemical Hydrodynamics, V. G. Levich Festschrift (ed. D. B. Spalding), vol. 2, p. 571. Advance.
Sirignano, W. A. & Glassman, I. 1970 Combust. Sci. Tech. 1, 370.
Torrance, K. E. 1971 Combust. Sci. Tech. 3, 133.
Yih, C.-S. 1968 Phys. Fluids 11, 477.
Yih, C.-S. 1969 Phys. Fluids 12, 1982.