IMMERSED BOUNDARY SOLUTION OF NATURAL CONVECTION IN A SQUARE CAVITY WITH AN ENCLOSED ROSETTE-SHAPED HOT CYLINDER

摘要

Numerical solutions are shown for the natural convection flow inside a cold square enclosure with a hot rosette-shaped cylinder inside. Solutions are obtained using an immersed-boundary finite element method. The study investigates the effect of the rosette-shape factor on the heat transfer and fluid flow for Rayleigh numbers between 10~3 and 10~7. Results indicate the formation of recirculation cells of number, size, and location depending strongly on the shape of the cylinder and on the Rayleigh number. All solutions reach a steady state, except when the rosette-shape factor is 0.6 at Ra=10~6, for which a periodic transient solution is obtained.