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Axially Running Wave in Liquid Bridge

D.E. Melnikov1, V.M. Shevtsova2

1, Free University of Brussels (ULB), Brussels, Belgium.
2 e-mail:, Free University of Brussels (ULB), Brussels, Belgium.

Fluid Dynamics & Materials Processing 2007, 3(4), 329-338.


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.


Cite This Article

APA Style
Melnikov, D., Shevtsova, V. (2007). Axially running wave in liquid bridge. Fluid Dynamics & Materials Processing, 3(4), 329-338.
Vancouver Style
Melnikov D, Shevtsova V. Axially running wave in liquid bridge. Fluid Dyn Mater Proc. 2007;3(4):329-338
IEEE Style
D. Melnikov and V. Shevtsova, "Axially Running Wave in Liquid Bridge," Fluid Dyn. Mater. Proc., vol. 3, no. 4, pp. 329-338. 2007.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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