Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-19T12:10:25.416Z Has data issue: false hasContentIssue false
  • English
  • Français

Instability of capillary jets with thermocapillarity

Published online by Cambridge University Press:  21 April 2006

J.-J. Xu  and
S. H. Davis
J.-J. Xu
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60201
S. H. Davis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60201
Get access Rights & Permissions [Opens in a new window]

Abstract

Long axisymmetric liquid zones are subject to axial temperature gradients which induce steady viscous flows driven by thermocapillarity. The approximately parallel flow in a cylindrical zone is examined for linearized instabilities. Capillary, surfacewave and thermal modes are found. Capillary breakup can be retarded or even suppressed for small Prandtl number and large Biot number B, which measures heat transfer from the liquid to the surrounding atmosphere. In the limiting case B → ∞ the zone becomes an isothermal jet subject to axial ‘wind stress’ on its interface. It is then possible to suppress capillary breakup entirely so that one can maintain long coherent jets.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 161 , December 1985 , pp. 1 - 25
Copyright
© 1985 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

Chandrasekhar, S. 1961 Hydronamic and Hydromagnetic Stability. Oxford University Press.
Chun, C.-H. & Wuest, W. 1978 Acta Astronautica 5, 681.
Chun, C.-H. & Wuest, W. 1979 Acta Astronautica 6, 1073.
Miles, J. W. 1960 J. Fluid Mech. 8, 593.
Rayleigh, Lord 1879 Proc. Lond. Math. Soc. 10, 4.
Schwabe, D., Scharmann, A., Preisser, F. & Oeder, R. 1978 J. Crystal Grouth 43, 305.
Scott, M. R. & Watts, H. A. 1975 Sandia Labs Rep. SAND 75-0198, Albuquerque.
Scott, M. R. & Watts, H. A. 1977 SIAM J. Numer. Anal. 14, 40.
Sen, A. K. & Davis, S. H. 1982 J. Fluid Mech. 121, 163.
Smith, M. K. & Davis, S. H. 1982 J. Fluid Mech. 121, 187.
Smith, M. K. & Davis, S. H. 1983a J. Fluid Mech. 132, 119.
Smith, M. K. & Davis, S. H. 1983b J. Fluid Mech. 132, 145.
Xu, J.-J. & Davis, S. H. 1983 Phys. Fluids 26, 2880.
Xu, J.-J. & Davis, S. H. 1984 Phys. Fluids 27, 1102.