Smithsonian miscellaneous collections . =40° ; G = - - - —j- r r. b0 - h = log- - + —1~; ? = 113 rQ r r r = 5° 6° 8° 10° 15° 20° V = 4 m G = 0 42mm ,n K - b = Qram 1. 57mm -9 = 0 9° 23° 34° 54° 68° §14. Currents of air in the interior part of an atmospheric whirl In § 12 and § 13 we have considered currents of air flowing at aconstant elevation approaching the center of the isobars or movingaway from it. In nature the elevation of the currents does not re-main invariable; in atmosp
Smithsonian miscellaneous collections . =40° ; G = - - - —j- r r. b0 - h = log- - + —1~; ? = 113 rQ r r r = 5° 6° 8° 10° 15° 20° V = 4 m G = 0 42mm ,n K - b = Qram 1. 57mm -9 = 0 9° 23° 34° 54° 68° §14. Currents of air in the interior part of an atmospheric whirl In § 12 and § 13 we have considered currents of air flowing at aconstant elevation approaching the center of the isobars or movingaway from it. In nature the elevation of the currents does not re-main invariable; in atmospheric whirls around a barometric mini-mum the currents have an ascending movement that increasestoward the center, and in whirls about a barometric maximum thecurrents have a descending movement that diminishes with thedistance from the center. We shall treat the general problem inthe second part of these studies, but at present we will consider a MOVEMENTS OF ATMOSPHERE GULDBERG AND MOHN I 59 T I I I I I I i I I I I. FIG. II. WHIRLWIND AROUND A BAROMETRIC MAXIMUM l6o SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 special case, namely, the central part of the whirl. For a system ofcircular isobars the equation of continuity can be written 2n r h v = constant Supposing the height to be variable and a function of r, we can write v r cos (p — / (r) Assuming the following hypothesis: / (r) = c r2 where c is a constant, then the equation of continuity takes the form v cos (/> = or Introducing this value of v in equations (2) and (3) of §10 and by theaid of the formulae of §12, we shall find (2) (3) - G cos d; = v (k — v sin d> — — c ) P \ dr J u. „ . /_ . _ v sin \ - G sin 0 = ^ sin <p — 2 oj sin 6 cos — 2 c sin </ — z; —- . (4) dr This equation can be written crd{tang^= (k-2c)tang</j-2cosm8dr By integration placing the arbitrary constant equal to zero w
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