THE RELATION (RATIO) BETWEEN THE AVERAGE AND MAXIMUM VELOCITIES DURING TURBULENT MOTION IN PIPES

• Document Type: CREST
• Collection: General CIA Records
• Document Number (FOIA) /ESDN (CREST): CIA-RDP82-00039R000100270010-1
• Release Decision: RIPPUB
• Original Classification: R
• Document Page Count: 3
• Document Creation Date: December 22, 2016
• Document Release Date: April 25, 2012
• Sequence Number: 10
• Publication Date: April 9, 1952
• Content Type: REPORT

Declassified in Part -Sanitized Copy Approved for Release 2012/04/25 :CIA-RDP82-000398000100270010-1
13~twcacn. ~~he; ~.v'~xa?;a and l~f~~~imvm
........~~......_.r.
Velcc~.~l,i~s l~urin~ ~]~ur~ulc;n,~~~ian in F~.pes
ad Akadem.ii I~1a.ub~ S~SR, VOZL1l11G r19, 110 3, pp 115"
~ ol~l ~'
~'fiosca~~r~t~enin~rac?.c 21 July ti9~1,
Declassified in Part -Sanitized Co A roved for Release 2012J04/25 :CIA-RDP82-000398000100270010-1 ,
PY pP
rSTAT;
:STAY.
 Declassified in Part -Sanitized Copy Approved for Release 2012/04/25 :CIA-RDP82-000398000100270010-1
"The ~~,elatian '(patio) between the Average and I,~axa.mum
iti~es Dura.ng 'turbulent ~[ota.on in Pa.pee't
Veloa
~,, D, Al t tshu~'
Note: 'the following 'repoz~~ appeared in the re~u~~x
' section of the thrice-~nlonthly journal. Uok~.adY
HydrarrGechanics
a ~ ~ SSS~Z Volume: 79, No. 3 ' (21 July 1951),
AkadE.rn~..a. Nauk ,
~. 7:t had been subrna.tted by acadamic9.an A. I?
pages ~~05 6>
?krasov, 31 day 1~1~1,
til now there has been no theoretcttlly-based
Up urr
a for determining the dependence of the field coefficient
formal
tio. of average flo~rr velocity to the maximu~.), during tur-
(ra
ent rxtotion in smooth pipes, upon f~eynolds' number. Now
bul
this formula is obtained iri a perfectly elementary manner
from prandtl's equation (1)~
(1)
~= V are res ectively the maximum, dynamical,... and
(Umax, Uti, , p
ocit -and D is Prandtl's constant), and from the
av~,rage vel y,
for the coefficient of frictian (2)~
formula
in the following way
Utilizing the familar relation U%~
place of (1), tine have Umax ~ ~ = 1 ~'
(2)
y $ in
,Substituting (2) into (3), after transformations we
~, .. ,~0 (~.o~ lg P,e--x..30 .? D) , (4)
obtain V~Umax - (5.0~ lg e ~ , )~
ll :: ~ 0 accordirr~; to experiments of l~ikuradz~,
Assuming }?3 (
' D fluctuates from 3:$ to ~.6), we `haves
the qudntlty
~,
?-
,.,y
~. _ ~, ~ ~f
~ ~~ ~,7i :b+~^t ,gyp;
Y'
The ..agreement of experience and theory in t'