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East Asia and Western Pacific METEOROLOGY AND CLIMATE

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554<br />

Fig. 4 Same as Fig, 1, but for the vertical turbulent flux<br />

of moment!]. Interval of ^ i s 0.8X10*",<br />

3) CuTm.il us horizontal flux of momentum<br />

K"-theory may he used to estimate this term<br />

approximately (the 10-th term, on the right h<strong>and</strong> side of<br />

Eq.(2) ). The secondary circulation forced by this term is<br />

mainly a positive circulation located in the middle <strong>and</strong><br />

upper troposphere {not shown).<br />

4}Fddy horizontal flux of momentum<br />

When there is a significant inward momentum flux in<br />

the tropical cyclone, it is mainly caused by the asymmetry<br />

of large-scale eddy. McBri.de {1981} calculated this kind of<br />

momentum flux (the last second term on, the right h<strong>and</strong> side<br />

of Flq. (P.)}. Normally; one may use actual data to estimate<br />

the perturbation quantities along azxmuthal direction <strong>and</strong><br />

then to obtain the secondary circulation forced by this<br />

asymmetric distribution of physical quantities. But the<br />

data set used here is two-dimensional by which it is<br />

impossible to derive the average perturbation along \ .<br />

instead, an empirical function is se3.ect.ed to rpresent the<br />

distribution of —r * [U&.* ViL*] that is very close to the<br />

results calculated based on real data by McBride, -r * [Uo,*<br />

Vk*] is assumed to be a, function of r * <strong>and</strong> Z * <strong>and</strong> is set<br />

to be zero at boundaries. At 200 hPa, it has a maximum of<br />

2.68*l£T*st r * =4(about 20 latitude degree m* s~* in the<br />

dimensional case).<br />

This distribution is equivalent to a quadratic<br />

surface. Below 200 hPa, it is part of an ellipsoid whereas<br />

above 200 hPa it is a sloping surface that intersects with<br />

the ellipsoid, at 200 hPa,<br />

HxlOOhPa *-0-2 .._<br />

—.0<br />

1 2 3 4 5- 6 , 7 J<br />

Fig, B Same as Fig. V, but for the eddy horizontal flux of<br />

momentum; with the interval of 3P being Q.2x10<br />

Fig, 5 is the secondary circulation forced by the eddy<br />

horizontal flux of momentum defined with the abovedescribed<br />

empirical function. It can be seen that there is<br />

basically a positive circulation in the entire domain with<br />

^the center at 700 hPa <strong>and</strong> r *=3,5, <strong>and</strong> the maximum<br />

*•'. At the top there is a negative circulation, with

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