Thermo- and solutocapillary convection in a cylindrical liquid bridge: Stability of steady axisymmetric flow

Details Thermo- and solutocapillary convection in a cylindrical liquid bridge: Stability of steady axisymmetric flow Thermo- and solutocapillary convection in a cylindrical liquid bridge: Stability of steady axisymmetric flow

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995adspr..16...75w&link_type=abstract

Advances in Space Research (ISSN 0273-1177), vol. 16, no. 7, p. (7)75-(7)78

Computer Science

Numerical Analysis

Axisymmetric Flow, Capillary Flow, Convective Flow, Liquid Bridges, Microgravity, Stability, Boundary Conditions, Numerical Analysis, Prandtl Number, Reynolds Number

Scientific paper

The convective stability of steady axisymmetric flow in a cylindrical liquid bridge of a binary fluid mixture between two rigid circular walls of different temperature is investigated numerically. As driving forces we consider thermo- and solutocapillary effects. Buoyancy forces are neglected and the free surface is assumed to be non-deformable. As numerical method we use a Chebyshev collocation approach in radial direction and a second order finite difference scheme in axial direction. This combines the advantages of fast convergence and good resolution of high gradients and leads to a band structure of the linear systems which saves storage and computing time. In a first step the steady axisymmetric flow is calculated and then it's stability with respect to 3D time dependent disturbances is investigte with linear stability theory. Critical Reynolds numbers are presented for different parameter variations.

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