摘要Chaotic thermal convection in a rapidly rotating cylindrical annulus is investigated numerically and the relaxation oscillation state is obtained under the no-slip boundary condition. The dominant frequency of the oscillation is inherited directly from a vacillating mode, whose nonlinear interaction with another high-frequency vacillating mode leads to the chaotic state at high Rayleigh numbers through an RTN-type route. Furthermore, the effects of Coriolis parameter and Rayleigh number on the quasi-periodic burst of kinetic energy are discussed as well.
Abstract:Chaotic thermal convection in a rapidly rotating cylindrical annulus is investigated numerically and the relaxation oscillation state is obtained under the no-slip boundary condition. The dominant frequency of the oscillation is inherited directly from a vacillating mode, whose nonlinear interaction with another high-frequency vacillating mode leads to the chaotic state at high Rayleigh numbers through an RTN-type route. Furthermore, the effects of Coriolis parameter and Rayleigh number on the quasi-periodic burst of kinetic energy are discussed as well.
TAO Jian-Jun;TAN Wen-Chang. Relaxation Oscillation of Thermal Convection in Rotating Cylindrical Annulus[J]. 中国物理快报, 2010, 27(3): 34706-034706.
TAO Jian-Jun, TAN Wen-Chang. Relaxation Oscillation of Thermal Convection in Rotating Cylindrical Annulus. Chin. Phys. Lett., 2010, 27(3): 34706-034706.
[1] Busse F H 1994 Chaos 4 123 [2] Busse F H 2002 Phys. Fluids 14 1301 [3] Bian N, Benkadda S et al 2003 Phys. Plasmas 10 1382 [4] Elperin T, Kleeorin N et al 2002 Phys. Rev. E 66 066305 [5] Bian N H 2003 Phys. Plasmas 10 4696 [6] Malkov M A, Diamond P H and Rosenbluth M N 2001 Phys. Plasmas 8 5073 [7] Garcia O E and Bian N H 2003 Phys. Rev. E 68 047301 [8] Rogers B N, Dorland W and Kotschenreuther M 2000 Phys. Rev. Lett. 85 5336 [9] Brummell N H and Hart J E 1993 Geophys. Astrophys. Fluid Dyn. 68 85 [10] Busse F H and Clever R M 2000 Phys. Fluids 12 2137 [11] Herrmann J and Busse F H 1998 Phys. Fluids 10 1611 [12] Busse F H, Zaks M A et al 2003 Physica D 184 3 [13] Schnaubelt M and Busse F H 1997 Acta Astron. Geophys. Univ. Comenianae XIX 63 [14] Kraichnan R H 1967 Phys. Fluids 10 1417 [15] Morin V and Dormy E 2004 Phys. Fluids 16 1603 [16] Tao J and Busse F H 2006 J. Fluid Mech. 552 73