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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Geoscience Letters Cover Image

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