Open Access

ARTICLE

Axially Running Wave in Liquid Bridge

D.E. Melnikov¹, V.M. Shevtsova²

1 e-mail:dmelniko@ulb.ac.be, Free University of Brussels (ULB), Brussels, Belgium.
2 e-mail: vshev@ulb.ac.be, Free University of Brussels (ULB), Brussels, Belgium.

Fluid Dynamics & Materials Processing 2007, 3(4), 329-338. https://doi.org/10.3970/fdmp.2007.003.329

Abstract

Thermocapillary convection in a long vertical liquid column (called liquid bridge) subjected to heating from above is considered for a three-dimensional Boussinesq fluid. The problem is solved numerically via finite-volume method. Full system of three dimensional Navier-Stokes equations coupled with the energy equation is solved for an incompressible fluid. Instability sets in through a wave propagating in axial direction with zero azimuthal wave number, which is a unique stable solution over a wide range of supercritical heating. Further increasing the applied temperature difference results in bifurcation of a second wave traveling azimuthally with a slightly higher frequency. The two waves co-exist within a certain range of the supercritical parameter and finally the axially running one gets suppressed while the azimuthal gets stronger.

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Keywords

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