Distribution of Various Meteorological Elements in a Typhoon

Abstract

The distribution of various meteorological elements in a typhoon was investigated, assuming that the typhoon is symmetric about its center. The results obtained are summarized as follows.
1) The distribution of precipitation per unit time is given by the following empirical formula where m₀ and r_m are constants of the typhoon and r is the distance from the center.
2) The intensity of precipitation depends on that of typhoon, and m₀ in the above equation increases linearly with the increase of the depth of typhoon. If the depth of a typhoon is 730mm, m₀ is of the order of magnitude 100mm/day.
3) If φ(ξ) is the total amount of precipitation at a point, ξ being the smallest distance from the center during the traveling of typhoon, the distribution of precipitation is calculated by where the velocity of typhoon is v.
4) The distribution of relative humidity H is given by the following empirical formula where r_n is a constant which is about 200km.
5) The mixing ratio of water vapour is almost constant within the area of typhoon and increases with the increase of the intensity of typhoon.
6) The potential temperature is constant within the area of typhoon by my first approximation.
7) The maximum of wind velocity in the area of typhoon is a function of the intensity of typhoon, and the following empirical formula holds good approximately: V_max(m/sec)=5.1√ΔP₀
8) The diameter of the largest closed isobar of typhoon is given by D(111km unit)=0.33ΔP₀
9) The radius of the cloud area of typhoon is given approximately by r_c(km)=18×ΔP₀
10) The radius of the rain area of typhoon depends on the intensity of typhoon and it is given approximately by r_p(km)=8×ΔP₀
11) From the above results it is concluded that the adiabatic change holds, at least by my first approximation, within the area of typhoon.