Immersed Boundary Solution of Natural Convection in a Square Cavity with an Enclosed Rosette-Shaped Hot Cylinder

Abstract

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 10³ and 10⁷. 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 = 10⁶, for which a periodic transient solution is obtained.

Notes

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