Examples for Pressure Drop Calculations in Parallel Flow Helium Cooling Page: 4
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the f riot ion loss In the tucts is the sane fraction of the transport. heat
as before, te way Utvs go Iron a 300,000 tew to a 30,000 tew raachina. However,
the heat transfer does not decrease vlts t?w pressure, but decreases sort slowly
P • ) st that for a length of plug equal to 4.7 cat we centare penoils of di-
aiseter eat and still have the gas taupe nature rise by 3OO°C. * Per this case
-he fr .cti’■"n loss is w.Z6 7©.27 at 0,67% in the plug, and in the duct, for a
velocity equal the critical velocity divided by 2 x /T", the friction loss
is w.28f , giving a total friction loss of 0.77%. For a 30,000 tew aaoi ine this
•wcunt e to 230 lew. If wo increase all velocities by a factor of 3, teee. nr
Z) I aoastant, the friction loss boocews about t-240 tew, and the host transferred
(if the flues are slightly c tanged; goes up by a lector ef 3. riving ar output
of 90.OJU tew.Addition Dated August 1Q, 14X2
ty hel ue at 10 atari; .rrst. '
consisting or ,.euciIs 0.3 cn in dl«w<
with a velocity of 66 s/soo, cr . *
2.6frevioualy 1 calculated the ciawu.oiu of a 300,000 tew machine cooled
, In this nachine we used, at the center, a plug
j|oretor and 4 ca long. The gas was circulated
* T.T * oribioal velocity. The duct site cn
t;.is eaehlne is 12 pv.-coot of the total area, he now ccneider a lOO.OOu tew
rw chine.The duct site, f*
irwent. an! if we take a 20 c« oeli. _ . ________________________
for each duct, and a critical length of ISO as fear ti.ia duet alee?
the length of our duct is about 4 critical long ths. Senoo.
including the loss u;x» exit, equals “* "
if ve hew, the sane velocity. goes free 12 percent to
_ — — —this rives a cross sectional area of 16
-----------------------------------------------. Thus,
the friction loss
percent of the total
Sene
4 7 1
6e.«)z |
heat transport--or .74 percent. In the plugs the.wee Ives the production, of heat
is 1/3 aswuah as prcvicusly considered, and so. £,____
rice of 3OJ C, wo would put 3 plugs in series, at the center of the pile,
friction loss in the plug and on exit, is -27 -25
the total 1ms in this Machine is 0.31 7 0.74 a itSSpor
in the duet ,
hwt t-«r.»pcrt -or .74 percent.
in order to get a tertportture
-— -------- — —— r-- —• The
__X___ _ s 0.31 percent, so that
----percent, or 1,060 tew.
If we reduce ths pressure tc 7 abnoapm-rea
wo eta. Id coonect two plugs
in aeries at the carter of the pile and would have to increase the total duct
tc 3 .ercent. For this sise duct the critical lent th is 200 on, and so wo
----_ __js of percent in the ducts. The total loss then for thio
percent of the heat transported, or 900 tew.
area to 6 j_
have a lose of
Machine s J.31 *-0.69 « 0.90
END
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Feld, Bernard T. (Bernard Taub), 1919-1993 & Szilard, Leo. Examples for Pressure Drop Calculations in Parallel Flow Helium Cooling, report, June 18, 1942; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc1256455/m1/4/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.