Steady and oscillatory convection in vertical cylinders heated from below  Numerical simulation of asymmetric flow regimes
Abstract
Threedimensional buoyancy driven flows in vertical cylinders are simulated with a finite difference technique. Asymmetric convective flows are studied for three values of the (lengthtoradius) aspect ratio A. One result concerns the occurrence of asymmetric convection in a flat A = 0.485 cylinder for Pr = 6.7, near the threshold and up to 3Rac (where Rac is the critical Rayleigh number and Pr is the Prandtl number). Complex (steady and timedependent) supercritical regimes have been simulated in cylinders of aspect ratios A = 2 and A = 4 for Pr = 0.02 and in ranges of Ra up to 8Rac and 6RaC, respectively. The flow patterns are analyzed graphically and discussed with respect to a weakly nonlinear analysis and to experiments. In a particular case, A = 4 and Pr = 0.02, an oscillatory motion has been obtained and some features of the flow pattern are shown during a period.
 Publication:

Advances in Space Research
 Pub Date:
 1988
 DOI:
 10.1016/02731177(88)900300
 Bibcode:
 1988AdSpR...8..281C
 Keywords:

 Convective Flow;
 Cylinders;
 Finite Difference Theory;
 Oscillating Flow;
 Steady Flow;
 Buoyancy;
 Microgravity Applications;
 Numerical Flow Visualization;
 Prandtl Number;
 Rayleigh Number;
 Space Commercialization;
 Supercritical Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer