Three aspects of surface tension-driven natural convection in a bounded cylindrical geometry are investigated, First, the linear stability of the steady subcritical and supercritical convective solutions near the critical point is examined using a perturbation analysis and the theory of differential operators. Second, the effect of small surface tension gradients on free surface flows in deep fluid layers is studied. It is shown that surface tension effects produce subcritical convective solutions for this buoyancy-dominated flow. Finally, solutions are obtained for finite amplitude surface tension-driven flows in a cylindrical container.
All Science Journal Classification (ASJC) codes
- Chemical Engineering(all)