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Syōno, S. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
Subjects:

Classified by OpenAIRE into

arxiv: Physics::Atmospheric and Oceanic Physics
In the present paper, an attempt is made to obtain dynamically the criterion for formation of tropical cyclones. Main factors important for typhogenesis are vertical thermal instability, horizontal dynamical stability, horizontal and vertical dimensions of perturbations. First the physical picture of a typhogenetical process is given. Secondly a method which enables us to treat the latent instability dynamically, a polytropic change method, is proposed. Thirdly using this method, the perturbation equations for the perturbations of typhoon-type are obtained. Solving these equations, the following criterion for the development of perturbations of typhoon-type is obtainedwhere g, S, Z. n and r0 are gravity acceleration, vertical thermal instability, absolute vorticity, number of loops of perturbations in vertical direction and number which gives horizontal dimension of perturbations in 100 km. The left hand side has a similar form as Richardson number for the formation of turbulence. Fourthly, modes of perturbations are investigated. DOI: 10.1111/j.2153-3490.1953.tb01047.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • 3. For the sake of simplicity, we assumed a fixed tropopause, but we can treat the actual atmosphere, by taking a two-layer atmomhere. where the u m e r laver is stable and th'e lower layer is l a k t unktable.
    • 4. For the sake of simplicity, we assumed that S is constant and the atmosphere initially unstable but in order to treat the actual process of typhogenesis, both assumptions must be abandoned, and at least the sign of S must be changed for the ascending and descending parts. At present, however, this problem is very difficult, because we cannot determine the regions of ascendin and descending motion and they change I furing the development of the perturbations.
    • P A L M ~ NE., 1948: O n the Formation and Structure of Tropical Hurricanes, Geophysica, 3, 26-38.
    • RIEHLH,. 1948:O n the Formation of Typhoons. J . Met., 5, 24-264.
    • RIEHL,H. 1950: A model of Hurricane Formation. J. Appl. Phys. 21,917-925.
    • SAWYERS,. 1947:Notes on the Theory of Tropical Cyclones Q.J . R . M. S.73, 101-126.
    • S Y ~ N OS,. 1951: O n the Structure of Atmospheric Vortices. J , Mef. 22, 103-119.
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