Abstract
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 investigated with linear stability theory. Critical Reynolds numbers are presented for different parameter variations.
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