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# 7_28 - t 73757 I"m 7 28 As shown 111 Fig P7 28 a thin...

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Unformatted text preview: t 73757 I "m 7. 28 As shown 111 Fig P7 28, a thin, tlat pl ate containing a Prototype seiies 01‘ holes 15 to he placed 111 a pipe to i1lte1‘ out any pinticlt s , in thel liQuid ﬂowing through the pipe. The1e 18 some eonet‘in (l—liole diameter = 1.0 mm about the huge p1essu1e drop that may develop aeioss the plate D—pipe diameter = 50 mm and it is p1 oposed to study this problem with a geomeuieallv u—viseosity = 0.002 N's/m2 similar model. The lollowing data apply 7 p—density 2 I000 kg/m3 (a) Assuming that the pressure d1‘1,)p Ap, depends on the vari— V—veloeity z 1), 1 111/8 to 2 [n/g ables listed, use dimensional analysis to develop a suitable set of dimensionless parameters for this problem, (1)) Determine values for the model indicated in the list with a question mark. What will he the pressure drop scale, Ap,,,/Ap‘? Model (I = ? D = 10 mm 11 = 0.11112 N~s/mz p = 1111111 kg/m‘ : :1 v» WELmemmm-wwmIzammwmmwmmﬂamvm I FIGURE P7.28 i {£31 3. 15:11:11 :2: 1”,; if (if iii Ii}; 15;! V > i 1 at / 1” j , ~ a t" [if-3;: F53 (/51 p.41 ﬂa FEET fig-1:1"? Vz‘ tr?” 5 Ram 7772 pi Theorem, é- 3= 3 PI 'J't’l‘rn5 rezutred and hat. dimensional [34/24/955 weld; =~g¢r in”) 71/2 (19) Far 5/ﬂl71'/ﬂ/:I+j ) 2’2?» :‘ 91 pm, D ,. . and £01771 rm via/£51 711.113,: ~——_— * d,,5,,:' 93.“ ct : V/DMM)(].IDMM)% 7" 0200mm" D .57) mm 24/519) ﬂan Vm. D4... : ﬂip w ' r9 ﬁnd 101111 ﬂax/o) ﬂan: i 17’ 14110;”; 'h’laf W: 3 V = 5‘04”“)1/ 2 511/ .__-——.._. 0,," [(DMM ‘ S =15691’3'111 2’11“): 0.5001 an, tong-f“ W177i 7b¢i§ﬁulaﬂ+y r:\$u:yrm9u+.s sachs‘ﬁeo‘ ’hrte predm'i-mn ' 11116 '13 9311 "E A731: A r #11 £ FV./9V1 50 a. ﬂﬁmafawﬂ )1 s:- 513(3sz 3533 ...
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