ISSN Online: 2377-424X
ISBN Print: 0-89116-909-1
International Heat Transfer Conference 9
PERIOD DOUBLING AND CHAOS IN A THERMAL CONVECTION LOOP WITH TIME PERIODIC WALL TEMPERATURE VARIATION
摘要
The dynamics of single phase, buoyancy induced flow in a toroidal loop are investigated theoretically under conditions of time dependent, periodically varying, wall temperature. The heating and cooling, which are applied to the loop walls, are symmetrical with respect to the loop's axis that is parallel to the gravity vector. The flow in the loop is modeled as one-dimensional. Due to the simple geometry, the governing equations can be reduced, with exact closure, to three non-linear ordinary differential equations (the generalized Lorenz equations). In order of increasing Rayleigh number, the following flow regimes are observed: no motion, periodic motion, chaos, and periodic motion. For low loop's Prandtl numbers, chaos results from a period doubling sequence.