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a)

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(7.9a) : Potenzprofil (7.9c2): logarithmisches Profil (7.9e) :parabolisches Profil

(7.9a) ~2 -­········---~ (7.9 c2r""··~~ ....... ""..,..·-·-· / i i r7.9e)

I I ; ;

·-·-·-., .... ,...,~· .. \

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-1 -0/1 -ao ~· -o,2 o 0,2 q4- 0,6 o,o it r/R :

b)

a) Strömungsprofile für den laminaren Fall: berechnet nach (7.9a), (7.9c2) und (7.9e) in Verbindung mit (7.20)

b) Strömungsprofile für einen turbulenten Fall: m = 3/2, p = 1/6, q =· 2/15 \1\

' ~

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A Re V ,.Jvmax n u

nach V"er"sch • ,A.;..set"t!en. ····· ······ -·-··--- ---- ------ -

0 0,04 3,97·103 0,796 1/ 6,2 n • 1/ 6,1 0,03 1,12·104- 0,818 ~ 1/ 7,1 IV 7,05 ,., 0,02 6,1 ·1()4 0,847 1/, 8,6 1/ 8,6 0,015 2 47·105

21

5 ·106 0,865 1/ 9,9 1~ 9,95 Rauheit eines Rohres k' VL = .. 'R ß(i")dr

0,01 ' 0,887 1/12,1 .... " 1/12,2 Relative Rauheit k' D D = 2R '(')

Q02 Q015 Q01

.-- I 1 1 I -r+ T--t----,--r------,--l-------r-------------1 k'/D

- · · D .Lglatt __ e-- _ __ 1---- 0,001

~ ( Q01 ro~< q~ - -- !l' - ~ \ Q 1

[:II atatt - 0,001 t . 1- I r

1 : - ·- -- --· --- O,Qf :u___..... rauh~

~0,05 ::d-o,t

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~1 1 I I II I ·--+-+----+-··-- ---+·-·-----+--l-·q ·---+-·--------

--l--l--+----f---1----t------t--·------+-1--- l

a•1 I \ • I 1 ••• I' 1 I 1 1 I ,I I • I 1 I I 1

I , I . I I I 1 1 I ' I 1 1 I I I I 1 2 5 2 5 2 5 2

rJl Reu 1(Jit 705 106 10"

1am.i--+ t.u .. b. Re

Kalibrierungsfuldoren vAJvmax und vAfvt.. für Volumenströme in glatten und rauhen

Rohren in Abhängigkeit von der Reynolds-Zahl Re und der relativen Rauheit k' /D

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konzentrisches Reduzierstück,

zwei 9«r ·Krümmer in einer Ebene

zwei 'Xr·Krtlmmer in

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Regelventil

Einlaufstrecken

(teilweise ~~w;.. H+---- -------~ ~-~~ geöffnet)

511•0

Heflgertil

1 /"""\ ~ Rohreinlauflängen einzuhalten (Systemgenauigkeit ± 1 °/o) :

Auslaufstrecken

/l Sta.b,lts rotatt"o~cssyfltlwaefrlsc/,es "«K,~sfJries S-i,..;rtttw#l'1Sf'rofi.l ! A.a.i; sit:.A

1 ei.".,,t!s.f.e.lLt ( k."'I'L voraus,ese~f:~ wcrtd~~t)

J.b.:l[ 15 · D bis 50 · D bei Re> 4000 (turbulent) 0,0065 · D · Re bei Re< 2300 (laminar)

5-18

=

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5-20

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cf:~ : '/0 IJ.l: ( h:a 70 vtn_ .. .ek~. ~) h.cdte~ ~ l.- c - ~,-~ ~ s TrL - r~

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6-23

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5-3o [E'ntle]

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11

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