| Title |
Chaotic Thermal Convection in a Wide-Gap Horizontal Annulus：Pr＝0.1 |
| Keywords |
Oscillatory convection ; 진동 대류 ; Period-doubling bifurcation ; 주기 배가 분기 ; Periodic flow ; 주기적인 유동 ; Quasi-periodic flow ; 준주기적인 유동 ; Chaos ; 혼돈 |
| Abstract |
Transition to chaotic convection is investigated for natural convection of a fluid with ＝0.1 in a wide-gap horizontal annulus. The unsteady two-dimensional streamfunction-vorticity equation is solved with finite difference method. As the Rayleigh number is increased, the steady 'downward flow' bifurcates to a time-periodic flow with a fundamental frequency, and afterwards a period-doubling bifurcation occurs. As the Rayleigh number is increased further, the chaotic flow regime is reached after a sequence of successive Hopf bifurcation to quasi-periodic and chaotic flow regimes. The route to chaos shows the Ruelle-Takens-Newhouse scenario. The flow of chaotic reigime displays complex coalescence and separation of eddies in the side and lower region of the annulus. |