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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 1 Parameters in atmosphere and in shallow-water model with (a) R = 24 km and U = 0.8 ms−1, and (b) R = 40 km and U = 1.2 ms−1

From: The vortex moving toward Taiwan and the influence of the central mountain range

 

R (km)

H (m)

f (10−5s−1)

h m(m)

Vel (m/s)

N or. gʹ

R 0

L R

Fr m

Fr

(a)

 Atm

R* = 120

H* = 104

5.783

h *m  = 3500

U* = 0 4

N = 10−2 s−1

U*/f*R* = 0.58

NH*/(f*R*) = 102/(f*R*) = 14.41

U*/(Nh m) = U/(35 ms−1) = 0.11

U*/(NH*) = 0.04

 Water

R = 24

H = 100

5.783

h m = 10

U = 0.8

gʹ = 4 m s−2

U/fR = 0.58

\({\sqrt {g^{\prime }H}} /{ (fR)} \) =  20/(fR) = 14.41

\( {U{/} {\sqrt {g^{\prime }h_{\text{m}} } }} \) = 0.2U*/6.3 = U/(32 ms−1) = 0.12

\( {U{/}{\sqrt {g^{\prime }H} }} \) = 0.04

(b)

 Atm

R* = 200

104

5.783

3500

U* = 0 6

N = 10−2 s−1

U*/f*R* = 0.52

NH*/(f*R*) = 8.65

U*/(Nh m) = 0.17

U*/(NH*) = 0.06

 Water

R = 40

H* = 100

5.783

10

U = 1.2

gʹ = 4 m s−2

U/fR = 0.53

\({{\sqrt {g^{\prime }H} }{/}{(fR )}}\) = 8.65

\( {U{/} {\sqrt {g^{\prime }h_{\text{m}} } }} \) = 0.19

\( {U{/}{\sqrt {g^{\prime }H} }} \) =  0.06