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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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Cite This Article

APA Style
Melnikov, D., Shevtsova, V. (2007). Axially running wave in liquid bridge. Fluid Dynamics & Materials Processing, 3(4), 329-338. https://doi.org/10.3970/fdmp.2007.003.329
Vancouver Style
Melnikov D, Shevtsova V. Axially running wave in liquid bridge. Fluid Dyn Mater Proc. 2007;3(4):329-338 https://doi.org/10.3970/fdmp.2007.003.329
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. https://doi.org/10.3970/fdmp.2007.003.329



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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