Chin. Phys. Lett.  2010, Vol. 27 Issue (3): 034706    DOI: 10.1088/0256-307X/27/3/034706
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Relaxation Oscillation of Thermal Convection in Rotating Cylindrical Annulus
TAO Jian-Jun, TAN Wen-Chang
SKLTCS and CAPT, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871
Cite this article:   
TAO Jian-Jun, TAN Wen-Chang 2010 Chin. Phys. Lett. 27 034706
Download: PDF(526KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
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.
Keywords: 47.20.Bp      47.20.Qr      47.27.Te     
Received: 09 October 2009      Published: 09 March 2010
PACS:  47.20.Bp (Buoyancy-driven instabilities (e.g., Rayleigh-Benard))  
  47.20.Qr (Centrifugal instabilities (e.g., Taylor-Couette flow))  
  47.27.te (Turbulent convective heat transfer)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/27/3/034706       OR      https://cpl.iphy.ac.cn/Y2010/V27/I3/034706
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
TAO Jian-Jun
TAN Wen-Chang
[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
Related articles from Frontiers Journals
[1] CHEN Cheng, GUO Zhi-Wei, WANG Bo-Fu, SUN De-Jun** . Transient Growth of Perturbation Energy in the Taylor–Couette Problem with Radial Flow[J]. Chin. Phys. Lett., 2011, 28(5): 034706
[2] TAO Jian-Jun, YUAN Xiang-Jiang. Three-Dimensional Waves in Tilt Thermal Boundary Layers[J]. Chin. Phys. Lett., 2009, 26(2): 034706
[3] SUN Liang, MA Dong-Jun, ZHANG Wei, SUN De-Jun. Onset of Unsteady Horizontal Convection in Rectangular Tank at Pr=1[J]. Chin. Phys. Lett., 2008, 25(6): 034706
[4] LI Lu-Jun, DUAN Li, HU Liang, KANG Qi. Experimental Investigation of Influence of Interfacial Tension on Convection of Two-Layer Immiscible Liquid[J]. Chin. Phys. Lett., 2008, 25(5): 034706
[5] DUAN Li, KANG Qi, HU Wen-Rui. Experimental Study on Liquid Free Surface in Buoyant-Thermocapillary Convection[J]. Chin. Phys. Lett., 2008, 25(4): 034706
[6] ZHAO Si-Cheng, LIU Rong, LIU Qiu-Sheng. Thermocapillary Convection in an Inhomogeneous Porous Layer[J]. Chin. Phys. Lett., 2008, 25(2): 034706
[7] ZHU Zhi-Qiang, LIU Qiu-Sheng. Experimental Investigation of Thermocapillary Convection in a Liquid Layer with Evaporating Interface[J]. Chin. Phys. Lett., 2008, 25(11): 034706
[8] ZHANG Tian-Tian, JIA Li, WANG Zhi-Cheng. Analytic Solution for Steady Slip Flow between Parallel Plates with Micro-Scale Spacing[J]. Chin. Phys. Lett., 2008, 25(1): 034706
[9] ZHENG Lian-Cun, ZHANG Xin-Xin, MA Lian-Xi. Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube[J]. Chin. Phys. Lett., 2008, 25(1): 034706
[10] CHEN Xue-Hui, ZHENG Lian-Cun, ZHANG Xin-Xin. MHD Boundary Layer Flow of a Non-Newtonian Fluid on a Moving Surface with a Power-Law Velocity[J]. Chin. Phys. Lett., 2007, 24(7): 034706
[11] FENG Shun-Xin, FU Song. Influence of Orbital Motion of Inner Cylinder on Eccentric Taylor Vortex Flow of Newtonian and Power-Law Fluids[J]. Chin. Phys. Lett., 2007, 24(3): 034706
[12] MA Dong-Jun, SUN De-Jun, YIN Xie-Yuan. Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall[J]. Chin. Phys. Lett., 2006, 23(6): 034706
[13] LIU Rong, LIU Qiu-Sheng. Vapour Recoil Effect on a Vapour--Liquid System with a Deformable Interface[J]. Chin. Phys. Lett., 2006, 23(4): 034706
[14] LIU Rong, LIU Qiu-Sheng, HU Wen-Rui. Marangoni--Bénard Instability with the Exchange of Evaporation at Liquid--Vapour Interface[J]. Chin. Phys. Lett., 2005, 22(2): 034706
[15] ZHENG Lian-Cun, ZHANG Xin-Xin, HE Ji-Cheng. Transportation Characteristics for a Class of Generalized N-Diffusion Equation with Convection[J]. Chin. Phys. Lett., 2004, 21(6): 034706
Viewed
Full text


Abstract