Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
Rotating Dishpan as a Numerical Integrator for the Large Scale Topographical Perturbation of the Hemispherical Zonal Currentt
Masamichi Oi
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1959 Volume 37 Issue 5 Pages 147-159

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Abstract
The neglectability of Reynolds term in the dimensionless equation of motion for the large scale topographical perturbation of a zonal current is ascertained in the atmospheric prototype and dishpan model for two-dimensional barrier case and consequently for threedimensional barrier case also. Thus the only one dimensionless parameter turns out to be the Rossby's one, provided that the ratio of the topographical height to the homogeneous atmospheric height is equal to that of the height of barrier model to the depth of rotating fluid in the rotating dishpan even in three-dimensional barrier case.
The different rotating-speed at each latitude on the atmospheric prototype can be simulated even in the rotating dishpan by multiplying the topographical height by the sine of latitude (sinφ).
Thus the northern hemispherical circulation can be simulated in the rotating dishpan for several cases of different meridional distribution of basic zonal current and is to be compared with 500mb normal contour charts with corresponding meridional distribution of basic zonal current to verify the rightness of the author's theoretical conclusions. However, in this paper, only one case of distribution of basic zonal current is reported, simply because mechanical devices to produce other cases have been undone from the financial reason.
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