Linear Marangoni instability of a fluid in circular cylindrical containers
Abstract
Linear-stability theory is applied to investigate the onset of Marangoni convection of a fluid partially filling a cylindrical container. Both axisymmetric and nonaxisymmetric disturbances are taken into consideration. Two sets of stream functions replace the disturbance-velocity field, and a mixed finite-difference-spectral method is employed to solve linear disturbance equations. The critical Marangoni number and the corresponding formation of cellular pattern are predicted for various radius-to-height ratios. The results are compared with earlier linear-stability results for a slip lateral wall and those of recent laboratory experiments.
- Publication:
-
Montreal International Astronautical Federation Congress
- Pub Date:
- October 1991
- Bibcode:
- 1991mont.iafcV....C
- Keywords:
-
- Circular Cylinders;
- Computational Fluid Dynamics;
- Cylindrical Tanks;
- Flow Stability;
- Marangoni Convection;
- Buoyancy;
- Convection Cells;
- Eigenvalues;
- Finite Difference Theory;
- Galerkin Method;
- Stream Functions (Fluids);
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer