three-dimensional bubble-velocity determination … · 2015. 7. 31. · (1998) measure pha...
TRANSCRIPT
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ISFV15 – M
TH
1CentracCor
KEY
Astructures. Aschematic of on the pipe cWMS can alacquired phadimensional velocity is debefore subseThe validity flow structur
IN
to predict twflow is cruciaaddress simptwo-phase flo(PTV) basedvelocity profvalve methodthree-dimensspatial resolulocal void frainvestigatingmeasurementthree-dimensvelocity to imto investigateclarified by d
Previously, estimate the phasic velocisignals, befolocation. Thevisualize a sw
Minsk / Belar
HREE-DIMA
T. KA
al Research In
rresponding a
YWORDS: Main suFluid: twVisualizOther k
ABSTRACT:AA Wire-Mesh Sf the WMS usecross-section,so acquire phasic velocity bubble veloc
etermined by equently seekiof this metho
re.
NTRODUCTwo-phase flowal to validate
ple experimentow dynamics.
d on high-speefile monitor (d acquires infsional measureutions, a wire-action with prg the signal timt has been simsional complemprove the thre the flow evodecomposing t the acquiredthree-dimensity is determin
ore subsequene validity of wirl flow struc
rus – 2012
MENSIONALGORIT
ANAI1, c, M.
nstitute of Elec
author: Tel.: +
ubjects: flow vwo-phase flowzation methodkeywords: ima
A gas-liquid twSensor (WMSed in this stud, according to
hasic velocity bwas limited
city accordingthe tracking b
ing pairs of sid is demonstr
TION: Recentw in simple ge
such CFD codtal correlation. Optical methed camera ima(UVP)(1) and formation in ement of two--mesh sensor rinciples basedme-delay betwmply one-dimex behavior bree-dimension
olution using Wthe void fracti
d phasic velocional bubble vned by the tra
ntly seeking pthis method
cture.
NAL BUBTHM WI
FURUYA1,
ctric Power In
81334802111
visualizationw, air-water d: wire mesh sage processing
wo-phase flowS) consists of dy. The WMS o the electric based on the tto one-dimeng to each of bubble. The pimilar bubblesrated for a swi
t computing aeometry. An ades. Extensivens. Several mehods such as pages are non-ia void probe time-averaged-phase flow w(WMS) has b
d on local conween two WMmensional and
by nature, henal two-phaseWMS. The meion according city was limitvelocity accoracking bubbleairs of similais demonstra
15th In
BBLE-VEITH WIR
, T. ARAI1, K
ndustry, 2-11-
1; Fax: +81334
sensor g, tracking, cr
w in a large ditwo parallel wmeasures insconductance btime lag of vo
nsional. The athe WMS m
proposed algors in two sets irl flow and th
advances haveaccurate expee studies of theasurement tecparticle imageintrusive, but sensor(2) acqu
d form. Therewith these metbeen proposednductivity mea
MSs via cross-caxial, wherea
ence the impe flow analysisechanism of b
g to the bubbleted to one-dimrding to eache. The proposar bubbles in ated for a sw
nternational
ELOCITYRE-MESH
K. SHIRAKA
1 Iwado-Kita
4882844; Ema
ross-correlatio
iameter pipe ewire layers inttantaneous twbetween two oid signals betauthors propo
measurement lrithm first ideof WMS data
he proposed m
e enabled comerimental datahe characteristchniques havee velocimetry only applicabuire informatiefore, it has bthods. To mead by Prasser easurement andcorrelation anaas the two-phaportance of ess codes. Furthbubble coalesce size classificmensional. Th WMS measued algorithm two sets of W
wirl flow and
SymposiumJune25-28
Y DETERH SENSOR
AWA1, Y. N
, Komae, Tok
ail: t-kanai@c
on, bubble velo
exhibits comptersecting at ri
wo-dimensionaintersecting wtween two setose an algoritocations. Thentifies each ba according tomethod can su
mputational fluabase on a thrtics of two-phae also been use(PIV) and pa
ble for low voion as one-po
been difficult asure void fracet al.(3). (1998)d measure phaalysis(4-6). Howase flow in a stimating the
hermore, Prasscence, break-uation(7-9).
he authors nowurement locatifirst identifies
WMS data accthe proposed
m on Flow V8, 2012, Min
RMINATIR
NISHI1
kyo 2018511,
criepi.denken.
ocity
plex three-dimright angles. Fal void-fractiowires in a twots of WMS. Pthm to estimae three-dimenbubble in the Wo bubble size
uccessfully vis
uid dynamics ree-dimension
hase flow haveed successive
article trackingoid fractions. oint, while a to precisely d
ctions at high ). The WMS
asic velocity dwever, such phlarge diamete
e three-dimenser et al. propup and lateral
w propose anion. The threes each bubblecording to bud method can
Visualizationnsk, Belarus
ION
JAPAN
or.jp
mensional flowFig. 1 shows aon distributiono-phase flow.reviously, theate the three-
nsional phasicWMS signals,and location.
sualize a swirl
(CFD) codesnal two-phasee been used toely to measureg velocimetryAn ultrasonicquick closingdetermine thetemporal andcan acquire a
distribution byhasic velocityer pipe showssional phasicosed methodslift force was
n algorithm toe-dimensionale in the WMSubble size andn successfully
n s
w a n . e -c , . l
s e o e y c g e d a y y s c s s
o l
S d y
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ISFV15 – M
EX
(FzR, Germaintersect at 9instantaneoubetween the conductance,used as a tranFig. 1(a) sh
(equal to the mm. The (hoFig. 1 (b) showith a negligmm. The samsampling freq
Fig. 1 (a) Scheconsists of 64 40 mm. Fig. 1 Fig. 2(a) s
compressor, pipe (i.d. 224D and downsinjector. TheFig. 2 (b) shopipe (i.d. 220and it was suExperiment
test section vreceiver tankDownstreamatmosphere aCelsius by th
Minsk / Belar
XPERIMENany) and cons90o with a sms two-dimenslocal instantan, while the gansmitter and thhows a schem
test pipe). Thorizontal) gap ows a cross-s
gible influencempling frequenquency is set
ematics of WMx 64 parallel w (b) Cross-secti
shows a scheair receiver ta
4 mm), while stream 3.7 D,
e test section hows a schema0 mm). The S
ubject to countts are performvia the lowerk with the ai
m of the test seand the separahe heat exchan
rus – 2012
NTALARRANsists of a pair
mall gap and easional void-frneous conduc
as phase acts ahe other as a r
matic view of the WMS consi
between the wsectional mease on the flow ncy of such deto 1000 fps.
MS used in this swires. The (horizional measurem
ematic view oank, air-water the total heigh where D (mm
has sixteen airatic view of a Swirler is inseterclockwise r
med in an air-wr plenum by tir compressorction, air and ated water recnger. The wat
NGEMENTS:of parallel wiach intersectioraction distribctivity of the twas an insulatorreceiver planethe WMS useists of 64 x 64wires is 3.5 msurement signfield and suffievice can be s
study. The innerzontal) gap betw
ment signal of th
of the test faseparation tan
ht of the facilim) is the inner-injection nozSwirler, whic
erted 5.8 D uprotation. water system. the circulatingr and with thwater were se
circulated intoter flow rate i
15th In
: The WMS wire layers locaon acts as an
bution over thtwo-phase flowr. During the
e. ed in this stud4 parallel wire
mm, which repnal of the two-ficient intensitset to a maxim
r diameter of thween the wires he two-phase flo
acility, whichnk, heat exchaity is about 6 mer diameter of zzles (i.d. 10 mch consists of pstream of W
Water is passg water pump
he air receiveeparated at the
o the water tans measured by
nternational
was developedated at the croelectrode. Th
he cross-sectiw. For a two-psignal acquisi
dy. The inner es, with both lpresents the ho-phase flow. Tty. The distanc
mum of 1250 f
he two sensors iis 3.5 mm. Theow.
h mainly conanger and testm. The straigh
f the pipe. Figmm) on the cifour vanes, an
WMS. The cent
sed through anp. Air is supp
er tank used te separation tank. The water y a magnetic
SymposiumJune25-28
d at the Forscoss-section ofhe WMS allowion of a pipephase flow, thition, one plan
diameter of tayers intersecorizontal spatiThe diameter oce between twframes per sec
is 224 mm (eque distance betwe
sists of a wapipe. The tes
ht run pipe up. 2(c) shows aircumference n inner pipe (ter angle of th
n ion-exchangplied to the teto control theank, the separatemperature iflow meter (K
m on Flow V8, 2012, Min
chungszentrumf a pipe. The ws the measue, based on the water phasene of the elec
the two sensocting at 90º anial resolution of the wires w
wo layers of thcond (fps). In t
ual to the test pieen two layers
ater circulatiost section conspstream of the a schematic v14.3 D upstre
(o.d. 110 mm)he vane was a
ge resin and suest section the inlet pressurated air dischis maintained KEYENCE fu
Visualizationnsk, Belarus
m Rossendorfparallel wires
urement of thethe differencee shows slighttrode wires is
rs is 224 mmd a gap of 2.8of the sensor.
was 0.25 mm,he sensor is 40this study, the
pe). The WMSof the sensor is
on pump, airsists of a PVCWMS is 20.3iew of the aiream of WMS.) and an outerabout 30 deg.
upplied to thehrough the airure alteration.arged into theat 30 degrees
ull-duplex-UH
n s
f s e e t s
m 8 . , 0 e
r C 3 r . r .
e r . e s
H
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ISFV15 – M
100H) and cCo. Ltd., MCof the WMS.
Fig. 2. The tesof the WMS is(b): Photograpview of the air
Minsk / Belar
ontrolled by rCF015) and co.
st section consiss 20.3 D and theph of the swirlerr-injector nozzl
InlInle
R
rus – 2012
regulating andontrolled by th
sts of a PVC pie test section har, which compre.
let superficial liet superficial ph
WMS samplinMeasureme
Ratio of LengthInlet Noz
SwirleSwirler v
d bypass valvhe air supply
pe (i.d. 224 mmas sixteen air inrises an outer pi
Table 1. Experiiquid velocity; jhasic velocity; j
ng frequency (fpent duration (s)
h to Diameter (Lzzle to WMSer to WMS vane angle (o)
15th In
ves. The airflosystem. Table
m), with a total njectors (i.d. 10 ipe (i.d. 220 mm
imental paramejL(m/s) jG(m/s)
fps) )
L/D)
nternational
ow was measue 1 shows the
facility height mm) on the cir
m), inner pipe (
eters and swirle
Run 1Run 2Run 3Run 4
(5 ca
30, N/A
SymposiumJune25-28
ured by 16 maflow conditio
of about 6 m. Trcumference 14o.d. 110 mm) a
r 0.63
1000 5
ases per parame
14.3 5.8
A (without gene
m on Flow V8, 2012, Min
ass flow meteons and measu
The straight run4.3 D upstream and four vanes.
0.05 0.21 0.42 0.63
eter)
erator)
Visualizationnsk, Belarus
ers (Yamatakeurement setup
n pipe upstreamof WMS. (c): Schematic
n s
e p
m
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ISFV15 – M
B×5000 (i×j×kdata. Bubble bubble volumvelocity and
whereVB i
and ∆t the saThe coord
belonging to example of thidentificationseldom contrwind through
Fig
Minsk / Belar
BUBBLE IDEk). Each of th identificationme is given bthe geometric
s the bubble vampling perio
dinates of the cthe selected b
he bubble idenn processes thribute to flow h the test pipe
g. 3. An exampl
rus – 2012
ENTIFICATIhese data contn is via a specby Eq. 1. Thec structure of t
volume, εi,j,k thod (1 msec) (8).center of massbubble using tntification, wie bubble signadynamics. La.
e of bubble iden
ION: The twotains two-dimeial algorithm e bubble voluthe WMS. Mo
VB=Ug∆x∆y∆
DB=3
he void fractio
s can be obtainthe local void ith flow condial of about VB
arger bubbles a
xc=∑ ji,j,k∑i,j
yc=∑i,j,k∑i,j
tc=∑ ki,j,k∑i,j,
ntification. The
15th In
o-phase flowensional voidand a bubble
ume can be ooreover, the bu
∆t εi,j,ki,j,k∈B
6VBπ
on at i, j, k, Ug
ned by averagfraction valueitions of jG= 0B ≥ 300 mm3 (Dappear interm
j·∆x·εi,j,kεi,j,kj,k
,
i·∆i·εi,j,kεi,j,kj,k
,
k ·∆t·εi,j,kεi,j,k,k
,
e flow condition
nternational
data consist d distributions
is defined as obtained by subble diamete
Ug the bubble v
ging the measues as a weight0.21 m/s, jL=0.DB ≥ 8 mm), s
mittently, as a r
ns are jG= 0.21
SymposiumJune25-28
of a three-dimof 64 × 64 W
a region of coummating the
er is calculated
velocity, ∆x, ∆
urement coordfunction (Eqs
.63 m/s and a since smaller bresult of xc and
m/s, jL=0.63 m/
m on Flow V8, 2012, Min
mensional maWMS and 500onnected gas ee bubble elemd by Eq. 2.
∆y the wire gap
dinates of all es. 3-5). Fig. 3 swirl flow. Thbubbles (DB <d yc shows the
m/s and a swirl f
Visualizationnsk, Belarus
atrix 64 × 6400 time-serieselements. Thements, bubble
(1)
(2)
p (3.5 mm),
elements shows an
he bubble < 8 mm) e bubbles
(3)
(4)
(5)
flow.
n s
4 s e e
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ISFV15 – M
B(left) shows measured bylocation. SubTable 2 showtime range (∆at measuremhorizontal raconditions uDB,2nd≥ 8 mm(right) showsbubbles are gGroup 3 is athe matchingmatching ratbubbles fulfiThe matchi
result of bubgas-phasic vcorrelation anand Run4-Grwith Run4-Gtracking. Moreover, t
bubble velocwhile Fig. 7 shows compaby bubble traestimated bytracking meth
(V
Ve
Minsk / Belar
BUBBLE TRAthe upstream
y upstream anbsequently, paws matching c∆T) of 10≤∆T≤
ment points (-3ange is -7 ≤ ∆used to judgm) and severas the result ofgenerally dividabout 30≤DB<g ratio falls. Mtios comparedll the conditio
ing ratio is higbble velocity dvelocity calcunalysis concur4-VR1 show
Gr4-VR4. In t
the validity ocity of the swir(right) showsarisons of bubacking, while y cross-correlhod.
MatchingVolume Ratio: V
Tracking ran
Tracking rangertical velocity r
Bubble cla
rus – 2012
ACKING: Thand downstre
nd downstreaairs of similaronditions, track
T≤200. In the c5 ≤ ∆X, ∆Y ≤∆XWMS, ∆YWMge whether aal matching cf matching ratioded into four g
< 60 and GroupMoreover, the md with Groupson. gh with a loo
distributions wulated via crour. Moreover, s fast and slowthis study, the
f this methodrl flow, jG= 0.
s a top view. Tbble tracking the black lineation analysis
Table 2. Matg condition VB,1st/VB,2nd (VR
nges (∆X, ∆Y)
ge (∆T) (10-3s) range (uG,v) (massifications
he three-dimeneam WMS bu
am WMS, resr bubbles are king ranges ancase of the sw≤ 35 in millimMS ≤ 7 in measan identical onditions (Vo
o versus matchgroups by bubp 4 is about 60matching ratios 1 and 2, sinc
ose matching cwhen the matcoss-correlationsmall bubbles
w distributionse matching co
d is demonstra21 m/s, jL=0.6
The bubble traand cross-cor
es show the avs. Both result
ching condition
R))
V
m/s)
15th In
nsional phasicubble identificspectively. Thsought in tw
nd bubble classwirl flow, the hmeter units). Co
surement poinelement is
olume Ratio: hing conditionbble size, Gro0≤DB. As theo also declinece large bubb
condition, butching condition analysis bys are generallys, respectivelyondition of V
ated for a swi63 m/s using backing result rrelation analyveraged bubblts effectively
ns, tracking ranVR 1 VR 2 VR 3 VR 4 VR 5
Vertical upward
Swirl flow
Gr 1 Gr 2 Gr 3 Gr 4
nternational
c velocity is dcation results.he circle size
wo WMS data,ifications. The
horizontal rangonversely, in tnts (-24.5 ≤ ∆present or nVR, shown in
ns (VR 1-5) atoup 1 is about e matching cos in the large
bles generally
t the number ons (VR) are c
the bubble y slower than y. Run4-Gr1-VVR4 (0.8 ≤ VB,
irl flow and abubble trackineffectively shysis. The bluee velocities. Fmatch and d
ge and bubble c0.33
flow
-
10 ≤ ∆0.22 ≤
SymposiumJune25-28
etermined by The red and and location
, according toe tracking range (∆X, ∆Y) isthe case of th∆X, ∆Y ≤ 24.5not are VB,1sn Table 2) in jL=0.63 (m/s)
8≤DB< 20, Gonditions becobubble grouphave conside
of mistakes ichanged and thgroup. The rlarge bubbles.VR4 shows sl1st/VB,2nd ≤ 1.2)
a vertical upwng. Fig. 7 (leftows the swirl
e circles showFinally, the reddemonstrate t
classifications 3 onethird ≤V
0.5 half ≤V0.5(-50%) ≤V0.8(-20%) ≤V0.9(-10%) ≤V
-7 ≤ ∆XWMS, ∆-24.5 ≤ ∆X, ∆
10 ≤ ∆XWMS, ∆-35 ≤ ∆X, ∆
∆T ≤ 180 ≤ uG,h ≤ 4
Bubble di8 ≤D
20≤30≤
60
m on Flow V8, 2012, Min
tracking the bblue circles
n refer to bubo bubble size nges are as fos -10 ≤ ∆XWMShe vertical upw5 in millimetest, B,2nd ≥ 300
the tracking ), jG= 0.63 (m
Group 2 is aboome increasin
p. Groups 3 anerable deforma
increases. Figthe red solid lresults of VR. However, Rulow distributio) is adopted
ward flow. Figft) shows an ovl flow charact
w bubble velocd line shows tthe efficacy o
≤VR≤ 3.0 (threeVR ≤ 2.0 (twiceVR ≤ 1.5 (+50%VR ≤ 1.2 (+20%VR ≤ 1.1 (+10%∆YWMS ≤ 7 (poin∆Y ≤ 24.5 (mm∆YWMS ≤ 10 (poi∆Y ≤ 35 (mm)
iameter (mm) DB< 20 DB< 30 DB< 60
0≤DB
Visualizationnsk, Belarus
bubble. Fig. 4show bubblesbble size andand location.
ollows, with aS, ∆YWMS ≤ 10ward flow, theer units). The0 mm3(DB,1st,range. Fig. 4
m/s). In Fig. 5,ut 20≤DB< 30
ngly stringent,nd 4 show lowation and few
. 5 shows theines show the
R4 and cross-un4-Gr1-Mc1ons comparedin the bubble
. 7 shows theverhead view,teristics. Fig.8city estimatedhe velocity asof the bubble
e times)e)
%) %) %) nts)
m) ints)
n s
4 s d . a 0 e e ,
4 , 0, ,
w w
e e -
d e
e ,
8 d s e
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ISFV15 – M
Fig. 4 (left). P
Minsk / Belar
Principle of bubb
rus – 2012
ble tracking. Red and blue circles s(right). Match
Fig. 5. Match
15th In
show bubbles mehing ratio versu
hing ratio versu
nternational
easured by upstreus VB,1st/VB,2nd.
us SB,1st/SB,2nd.
SymposiumJune25-28
am and downstre
m on Flow V8, 2012, Min
eam WMS respec
Visualizationnsk, Belarus
tively. Fig. 4
n s
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ISFV15 – M
Fig.6. The bub B
conditions ofwith increasiprofile, whilfeaturing a sedifference ofA quantitati
radial compo
Here, |uG,h
reference vecrotate countewhen the bub
Figs. 8 andupward and vertical upwashow almost
Figs. 10 anupward and sThese resultsstrong.
Fig. 12 shoare shown onunderside, upinteraction be
Minsk / Belar
bble velocity of
BUBBLE VELf jG=0.05, 0.6ing bubble sie conversely,econdary flowf the bubble veive estimationonent (|uG,rad|)
| is a horizontctors. In the cerclockwise obbles flow towd 9 show |uG,cswirl flows rard flow has npositive valu
nd 11 show |uGswirl flows res mean bubble
ows an exampn the circumfepper side and etween large a
rus – 2012
f the swirl flow,
LOCITY: Fig3 m/s, jL=0.63ize. When Ru, Run4-Gr1-Vw with large belocity by bubn of the multi-) of the phasic
|uG,c|uG,
tal componentcase of the |uGor clockwise, ward the centecmf| of all bubrespectively. |uno specific dires, which meaG,rad| of all buespectively. In es tend to mov
ple measuremference of the outside of theand small bub
, jG= 0.21 m/s, j
g. 7 shows the3 m/s and straun1-Gr1-VR4
VR4 shows a ubbles, turbul
bble size can bdimensional f
c velocity. |uG
cmf x,y | = | u
,rad x,y |=| uG
t of the phasicG,cmf| estimatio|uG,cmf| has a
er or outside, |ubbles (left) anuG,cmf|of the rectionality inan the large bu
ubbles (left) anthe region of
ve in the direc
ment of bubblelarge bubble.
e large bubblebbles can be ev
15th In
jL=0.63 m/s usi
e bubble velocaight flow. Th is comparedbroad profilelence considerbe evaluated.flow is perform
G,cmf| and |uG,r
uG,h x,y | cosθ
G,h x,y | sinθx
c velocity andon, the referen
positive or nuG,rad| have p
nd large bubblvertical upwa
n the circumfeubbles tend tond large bubblf radial positioction of the ce
e interaction. . The small bues. Using this valuated.
nternational
ing bubble track
city distributiohis result effed with Run4-Ge. This is becrably intensifi
med using a c
ad| are given a
θx,y ,
x,y ,
d θx,y is the annce vector turnegative valupositive or negles (right). Fiard flow showerential directio move in the dles (right). Fig
on at about 80 enter, and wit
Large bubbleubbles are clabubble trackin
SymposiumJune25-28
king. Overhead
ons of the fouctively showsGr1-VR4, Ruause, for highies. Via this b
circumference as Eqs. 6-7.
ngle between trns countercloe. In the case
gative values rgs. 8 and 9 sw almost zeroion. Conversedirection of thgs. 10 and 11 - 112 mm, |uG
th large bubbl
s arise intermassified into thng method an
m on Flow V8, 2012, Min
d view (left). To
ur bubble grous how bubble un1-Gr1-VR4 h void fractio
bubble trackin
component (
the horizontalockwise. Whee of the |uG,rarespectively. show results oo values, whiely,|uG,cmf|of the center. show results oG,rad| show po
les this tenden
mittently and shree groups, nnd evaluation t
Visualizationnsk, Belarus
op view (right).
ups, with flowvelocity risesshows shape
on conditions,g method, the
|uG,cmf|) and a
(6)
(7)
l velocity anden the bubblesad|estimation,
of the verticalch means thethe swirl flow
of the verticalositive values.ncy is epically
small bubblesnamely on thetechnique, the
n s
w s e , e
a
d s ,
l e
w
l . y
s e e
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ISFV15 – M
F
Fi
Minsk / Belar
Fig. 8. Circumfe
ig. 9. Circumfer
rus – 2012
Fig. 7.
erence (left) and
rence (left) and
Bubble velocit
d radial (right) c
radial (right) c
15th In
ty distributions
component of t
component of la
nternational
of four bubble
the bubble velo
arge bubble velo
SymposiumJune25-28
groups.
city in the verti
ocity in the vert
m on Flow V8, 2012, Min
ical upward flow
tical upward flo
Visualizationnsk, Belarus
w.
ow.
n s
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ISFV15 – M
Fi
Minsk / Belar
Fig. 10. Cir
Fig. 11. Circum
ig. 12. Large bu
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rcumference (le
mference (left)
ubbles which ar
eft) and radial (r
and radial (righ
rise intermittent
15th In
right) compone
ht) component o
tly and small bu
nternational
ent of the bubble
of the large bub
ubbles of the cir
SymposiumJune25-28
e velocity in the
bble velocity in
rcumference of
m on Flow V8, 2012, Min
e swirl flow.
n the swirl flow.
f the large bubb
Visualizationnsk, Belarus
.
ble.
n s
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ISFV15 – M
Ceach WMS mproposed algtwo WMS dawhich the probubble veloc
A
helpful suggKunihiko Nis
R
1. Aritomi, for Steady an2. Hogsett, p. 15-24. 3. Prasser, H4. Weerin, WTechnol 40, p5. Prasser, Hsecond. Proc6. Richter, S.sensor. Int. J7. Prasser, Haccording to 8. Manera, Atransient upw9. Kanai, T. eMesh Sensor
Minsk / Belar
CONCLUSIOmeasurement gorithm first idata according oposed metho
city due to bub
ACKNOWLEgestions. Thanshiyama of El
REFERENCEM. et al., 200
nd Transient MS. T. et al., 19
H. -M. et al., 19W. et al., 2003.
p. 932. H. -M. et al., 20c. Int. Congres. et al., 2002. . Heat Mass T
H. -M. et al., 20bubble size c
A. et al., 2006.ward flashing et al., 2011. Mr, Proc. ICON
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ONS: We proplocations. Th
dentifies eachto bubble siz
od can successbble size and t
EDGEMENTSnks also to Talectric Power
ES: 00. UltrasonicMultiphase Flo997. Local tw
998. A new el. Intrusive Eff
002. Fast wiress on AdvanceApproach tow
Transfer 45, p.002. Evolutionlasses using w Three-dimenflow. Int. J. M
Multi-dimensioNE 19, Osaka,
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