Abstract
Based on the law of inflow angle change in a tropical cyclone (TC) as a function of radius, an analytical expression as a combination of hyperbolic and logarithmic spirals (HLS) for the description of TC spiral cloud-rain bands is retrieved. Parameters of the HLS are deterlnlned by the physical parameters of a TC. The advantage of the proposed approximation over the empirical logarithmic approximation is shown with several examples of satellite and radar images of a TC.
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References
V. D. Bolshakov, The Theory of the Observation Errors. Handbook for the Universities (Nedra, Moscow, 1983) [in Russian].
I. I. Guralnik, G. P. Dubinskii, and S. V. Mamikonova, The Meteorology. Handbook for Universities (Gidrometeoizdat, Leningrad, 1972) [in Russian].
M. V. Kalashnik, “About the Maximal Wind Speed in Tropical Cyclone,” Izvestia RAN. Fizika atmosfery i okeana, No. 1, 30 (1994) [Izvestiya, Atmospheric and Oceanic Physics, No. 1, 30 (1994)].
E. S. Mamedov and N. I. Pavlov, Typhoons (Gidrometeoizdat, Leningrad, 1974) [in Russian].
L. I. Petrova, “Radial Structure of Tangential Wind in a Tropical Cyclone as Derived from Observation Data,” Meteorologiya i Gidrologiya, No. 3 (1995) [Russian Meteorology and Hydrology, No. 3 (1995)].
B. S. Yurchak, “On the Approximation of Spiral Bands Shape in Tropical Cyclones,” Gidrometeorologiya (Vietnam Weather Service edition), No. 3 (1991) [Hydrometeorology, No. 3 (1991)].
B. S. Yurchak, “An Assessment of Spiral Bands Shape in TC,” in Proc. Fifth International Symposium on Tropical Meteorology, May 26–June 2, 1991 (Obninsk, USSR, 1991).
B. S. Yurchak, “Radar Study of the Eye of Tropical Cyclone Irving Passing over the Gulf of Tonkin,” Meteorologiya i Gidrologiya, No. 6, (1997) [Russian Meteorology and Hydrology, No. 6, (1997)].
A. J. Abdullah, “The Spiral Bands of a Hurricane: A Possible Dynamic Explanation,” J. Atmos. Sci., 23 (1966).
R. A. Anthes, “Tropical Cyclones. Their Evolution, Structure and Effects,” AMS, Meteorological Monographs, No. 41, 19 (1982).
D. Atlas, K. R. Hardy, R. Wexler, and R. J. Boucher, “On the Origin of Hurricane Spiral Bands,” in Proc. Technical Conference on Hurricanes and Tropical Meteorology, June 6–12, 1963 (D. F., Mexico, 1963).
V. F. Dvorak, “Tropical Cyclone Intensity Analysis and Forecasting from Satellite Imagery,” Mon. Wea. Rev., 103 (1975).
R. D. Fletcher, “The General Circulation of the Tropical and Equatorial Atmosphere,” Journal of Meterology, 8 (1945).
I. Y. Fung, The Organization of Spiral Rain Bands in a Hurricane, Doctoral Dissertation Thesis (Massachusetts Institute of Technology, Massachusetts, 1977).
T. A. Guinn and W. H. Schubert, “Hurricane Spiral Bands,” J. Atmos. Sci., 50 (1993).
H. F. Hawkins and S. M. Imbembo, “The Structure of a Small, Intense Hurricane — Inez 1966,” Mon. Wea. Rev., 104 (1976).
L. A. Huges, “On the Low Level Wind Structure of Tropical Cyclones,” Journal of Meteorology, 9 (1952).
Y. Kurihara, “On the Development of Spiral Bands in a Tropical Cyclone,” J. Atmos. Sci., 33 (1976).
N. F. Laseur and H. F. Hawkins, “An Analysis of Hurricane Cleo (1958) Based on Data from Research Reconnaissance Aircraft,” Mon. Wea. Rev., 91 (1963).
M. T. Montgomery and R. J. Kallenbach, “A Theory for Vortex Rossby-Waves in its Application to Spiral Bands and Intensity Changes in Hurricane,” Quart. J. Roy. Meteorol. Soc., 123 (1997).
M. T. Montgomery and J. Enagonio, “Tropical Cyclogenesis via Convectively Forced Fortex Rossby Waves in a Three-Dimensional Quasigeostrophic Model,” J. Atmos. Sci., 55 (1998).
S. Raghavan, Radar Meteorology (Kluwer Academic Publishers, 2003).
M. Riehl, “Some Relations between Wind and Thermal Structure of Steady State Hurricanes,” J. Atmos. Sci., 20 (1963).
L. J. Shapiro, “The Asymmetric Boundary Layer Flow under a Translating Hurricane,” J. Atmos. Sci, 40 (1983).
H. V. Senn and H. W. Hiser, “The Origins and Behavior of Hurricane Spiral Bands as Observed on Radar,” in Proc. 7th Weather Radar Conference, November 17–20, 1958 (AMS, Miami Beach, Fla., 1958).
H. V. Senn and H. W. Hiser, “On the Origin of Hurricane Spiral Rainbands,” Journal of Meteorology, 16 (1959).
M. Tepper, “A Theoretical Model for Hurricane Radar Bands,” in Proc. 7th Weather Radar Conference, November 17–20, 1958 (AMS, Miami Beach, Fla., 1958).
Tropical Cyclone Programme, Report No. TCP-19, Report of the Seminar on the Application of Radar Data to Tropical Cyclone Forecasting. Bangkok, Thailand 21 Nov.–2 Dec., 1983 (WMO, Geneva, Switzerland, 1985).
C. L. Weatherford and W. M. Gray, “Typhoon Structure as Revealed by Aircraft Reconnaissance. Part I: Data Analysis and Climatology,” Mon. Wea. Rev., 116 (1988).
H. Wexler, “Structure of Hurricanes as Determined by Radar,” Annals of the New York Academy of Sciences, 48 (1947).
H. E. Willoughby, “A Possible Mechanism for the Formation of Hurricane Rainbands,” J. Atmos. Sci., 35 (1978).
H. E. Willoughby, F. D. Marks, and R. J. Feinberg, “Stationary and Moving Convective Bands in Hurricanes,” J. Atmos. Sci., 22 (1984).
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Original Russian Text © B. S. Yurchak, 2007, published in Russian Meteorology and Hydrology, 2007, No. 1, pp. 15–29.
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Yurchak, B.S. Description of cloud-rain bands in a tropical cyclone by a hyperbolic-logarithmic spiral. Russ. Meteorol. Hydrol. 32, 8–18 (2007). https://doi.org/10.3103/S1068373907010025
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DOI: https://doi.org/10.3103/S1068373907010025