@Article{fdmp.2007.003.329, AUTHOR = {D.E. Melnikov, V.M. Shevtsova}, TITLE = {Axially Running Wave in Liquid Bridge}, JOURNAL = {Fluid Dynamics \& Materials Processing}, VOLUME = {3}, YEAR = {2007}, NUMBER = {4}, PAGES = {329--338}, URL = {http://www.techscience.com/fdmp/v3n4/24259}, ISSN = {1555-2578}, 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.}, DOI = {10.3970/fdmp.2007.003.329} }