On the Roles of the Secondary Circulation in the Formation of Hurricanes

Abstract

Secondary circulations (SC) associated with hurricanes are traditionally regarded as small perturbations superimposed on the primary circulations (PC). The reason behind this treatment roots in an observation that the magnitude of the SC is about 10 orders of magnitude smaller than that of the PC. This approximation underlines all of the hurricane theories up until now. Recently, Kieu (2004) proposes a revitalizing theory for the development of hurricanes for which a class of exact solutions of the primitive equations is obtained explicitly without appealing to scaling approximation. The solutions share some of the most important dynamical aspects with observations. According to this theory, the SC turns out to be particular important in determining the three-dimensional structure and temporal evolution of axisymmetric hurricanes. Like all theories for the hurricane development, Kieu's theory however contains an infinite growth of the SC with time. In this study, it will be shown that the infinite growth does not occur. In fact, the solution becomes stationary after a period of time and the SC is able to maintain itself without blowing exponentially if the nonlinear terms in the vertical momentum equation are included. In addition, the SC tends to force the peripheral convection to converge toward the center and builds up a more concentric vortex with a typical hurricane-eye structure. Some potential roles of the SC in the formation of hurricane eyes are discussed.

16 pages, 6 figures

References in corpus (6)

• Observation of Collective-Emission-Induced Cooling inside an Optical Cavity
• Optical tuning of the scattering length of cold alkaline earth atoms
• Two-Photon Doppler cooling of alkaline-earth-metal and ytterbium atoms
• Two-photon and EIT-assisted Doppler cooling in a three-level cascade system
• Predictions of laser-cooling temperatures for multilevel atoms in three-dimensional polarization-gradient fields
• An Analytical Theory for the Early Stage of the Development of Hurricanes: Part I

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• Measurement of the Spin-forbidden Decay rate (3s3d)${}^1$D${}_2$ $\to$ (3s3p)${}^3$P${}_{2,1}$ in ${}^{24}$Mg
• Temperature limits in laser cooling of free atoms with three-level cascade transitions
• Two-photon cooling of calcium atoms