CONTINUATION OF NINE CHAPTERS (XI-XIX) FROM THE BOOK ENTITLED 'DYNAMIC METEOROLOGY'

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Collection: 
Document Number (FOIA) /ESDN (CREST): 
CIA-RDP82-00039R000100230001-5
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RIFPUB
Original Classification: 
R
Document Page Count: 
57
Document Creation Date: 
December 22, 2016
Document Release Date: 
May 10, 2012
Sequence Number: 
1
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Publication Date: 
February 28, 1952
Content Type: 
REPORT
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PDF icon CIA-RDP82-00039R000100230001-5.pdf34.97 MB
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Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 me!fbcr d(ti.l)eilds ori the i~orce of ra\+i -by g> t]l2e length of ?t:he wave and i'he ratio h/ (the depth of the lager h to he length of the C,iave `fe a1geb1,ai c signs ahead of the radical i.ndic:;,?e tli~t the w:~.ve can be propag;itin a posl.tve as well as a net t,:ive rection. i4Ct U. S cOnsi_dei" ti o ul.tainate C~ SE E$ r namely, T hen the r? s .a Propagated on tJ . , Ur ace of a y deel) ii qid d nd on the supf4a ce of \rery s1 1I'Low lic l~.a.d. 2nd .''or very s ,a .i values of x t,i.I~? for C, vei":1' Vi^{C1'1. Lo' i..cI.uj.d 'J. pus was ?e rived the i ri fora uJ.a (21 ) for the v eioci ty of wave 1 prOhag3ti.on on the surface of Very deep water. and the .~a gi ange Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 formula (25) for the propagation velocity of "long wares!' on the surface of shallow water. Table 53 furnishes the propagation velocities for waves of various` lengths at a varied depth of the liquid' layer, the computation made in accordance with :ror uiu1a (23) Let us analyze in more detail as to what is the field of au . lication of formulas ' (2h) and (2). When ,./,4,. by one percent less than 2f AG/, , then, velocity c obtained as per formula (24) will be only by 0.5 percent greater than the propagation velocity of the :4ve, as deterriiiried by formula (23) . Consequently, formula (2L) is of adequate precision, if the dej.th of to li.uid is no less that o.l~ of to length. of the wave ( L> Q4 ) ? This shows what is meant by the concept of a very deep liquid, which concept without the above evaluation might have been misleading . Z to values ?',Il (Z;rh/A.) wail differ from, percent. Therefore, velocity c, computed by the approximation formula (25 ), will differ from the precise value of c, as determined by formula (23), by less than 0.5 percent. With relation to the atmosphere, we will frequently use the Lagrange formula (25) for the ap7.roximate determination of the pro- pagation velocity of a wave, since, due to the vast horizontal range of the atmosphere as compared to -I,he thickness of atmos >he.ric layers, the ratio /A I ? See next page for Table 57 ='0L2, the value of h(2PA/A)o.99y .ee only only by one =aoZ Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 -. ' ~_ ~ul~f ac e of a Lz cuid at Rest _ loc ? t of Gra~ ~ r~_tatior?al ,,,,ages an _,. pro Nagatlon 5000 1000 3 3 loapoo iccooo 10 10 10 1.0 31 31 31 29 39 81 93 99 ss 125 ?95 39 30 @g 129 391-4 31 3' 99 99 313 313 1250 Declassified and Approved For Release 2012/05/10 : CIA-RDP82-00039R000100230001-5 let us compute the propagation velocity of a A.s an example., wave an the surface of a homogeneous atmoslhere. The height of the ~.. homogeneous atmosphere 'Ihe~:~~;f orP, for ~., ~~here is NR/f / / ~ c::: = /:- y-;W = 2 9O pid, d ThL15 , the propagatiol veloctY of l ong waves on the free r ~., l,lr~re is equal to the v(~~;aC=1.t~r Of SOLlT1C~?? surface o:a ho~~~.ogenec~us ~a ,:,las~,~~~.~ Section m 1~' .ti es on a. Surface of Separa~~n of `~~n Ouzrentsy: __.__----- lat ~1av e will now analyze a wave r otion, developing on a surface du. which re of differc:at dense tios and g two liquids, dtiv_~dan a have ent v1ocitias and of their basic motion. ~.~a~fer ~ In th t771os ;~heI e, such conda.tions correspond to ~?raves de- y, ~, veloping on a surface of discontinuitY. In order that a wave motion dev&ops on a surface of discontinuity sur. face be a. colder air mass, and. above it is necessary that belo~; the air ~s5, i)e5ignatinr, as in the pf?e~rioli.s se;ction, the surface - a wanner a_.1 ,~ by index 1, the magnitudeselata.ng to the w:::~.rm air mass, and by he magnitudes relating to the cold < it mass, we wi11