Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1766856 | Advances in Space Research | 2008 | 7 Pages |
Abstract
A linear stability analysis is applied to determine the onset of oscillatory thermocapillary convection in cylindrical liquid bridges of large Prandtl numbers (4 ⩽ Pr ⩽ 50). We focus on the relationships between the critical Reynolds number Rec, the azimuthal wave number m, the aspect ratio Î and the Prandtl number Pr. A detailed Rec-Pr stability diagram is given for liquid bridges with various Î. In the region of Pr > 1, which has been less studied previously and where Rec has been usually believed to decrease with the increase of Pr, we found Rec exhibits an early increase for liquid bridges with Î around one. From the computed surface temperature gradient, it is concluded that the boundary layers developed at both solid ends of liquid bridges strengthen the stability of basic axisymmetric thermocapillary convection at large Prandtl number, and that the stability property of the basic flow is determined by the “effective” part of liquid bridge.
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Space and Planetary Science
Authors
B. Xun, P.G. Chen, K. Li, Z. Yin, W.R. Hu,