CONTINUATION OF NINE CHAPTERS (XI-XIX) FROM THE BOOK ENTITLED 'DYNAMIC METEOROLOGY'
Document Type:
Collection:
Document Number (FOIA) /ESDN (CREST):
CIA-RDP82-00039R000100230001-5
Release Decision:
RIFPUB
Original Classification:
R
Document Page Count:
57
Document Creation Date:
December 22, 2016
Document Release Date:
May 10, 2012
Sequence Number:
1
Case Number:
Publication Date:
February 28, 1952
Content Type:
REPORT
File:
Attachment | Size |
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CIA-RDP82-00039R000100230001-5.pdf | 34.97 MB |
Body:
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