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hw3 soln

# hw3 soln - Drag coefﬁcient vs Re 25000000 20000000...

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Unformatted text preview: Drag coefﬁcient vs Re 25000000 20000000 15000000 * * V U 10000000 5000000 0 0.0001 20000 40000 60000 80000 100000 120000 140000 160000 180000 200000 Re b) '05 - [0.5 Drag coefficient vs Re E V a 0.0?01 0.001 0.01 0.1 1 10 menmwww »»»»» ww.wwwuwwm,wr_aw ,,,,,,,, R. Notes: 1) To cover this enormous range of Reynolds numbers and values of the drag coefﬁcient, the log-log plot is much better; you can see that all resolution is lost in the linear-linear plot, since the dependence of the drag coefﬁcient on Re is very strong for Re< 1 and weak for high Re. 2) You can observe from the plot above that the equations for the relationship between Cd and Re for Re > 1 are approximate and do not mesh smoothly at the limits. That is, in the intermediate regime, the equation C d «u18Re'0'6 gives a slightly different value for Cd at Re = 1 than Stokes equation, which is valid for Re<]. The same is true for the other limit, of Re=1000, where the drag coefﬁcient departs slightly from 0.44. flag 19/4- 7, HDMQWIW'L 3 SEIKHIBH: gr‘u 20‘}? mm 1,9/ 1/ . \( IF} 55"*"” ‘7" 9‘ ”‘2‘ = (0'3 ‘V if: = 0 02/ H. /= 3 AL » 22'. H— “ 5‘ “"‘W = (\$5 MN W X 3:: , 80.? ”A gr 4i! C““’“““‘3 {4-44 “bu. hubf 5; ,Onrfam) _ ,7 . ,0: 2.3? x I0 Shy/9+3 7 = 3.7? x In “if; VD _ a s’ 7 p"'/ o. L g, f7- W M» M w) r (3.711% to 7 £25.: > m p‘ow‘ E7 4‘3 In Dew! (Cam/L ﬁ" ﬁ/mAws) CD: /3 M‘ leg 2 /,of }< (0+ FN- ﬁjhrwel/r/ {L‘— A’U Cue/'AClca‘r‘ (5 Jcﬁmi as Co __ ‘LFD AI: : FD /(3 FL) = /3 szPDr :(ZBS’x/d \$)(ﬁo7 ﬂ: 2(0021FL) —> E, = 0.63 lb Fmblem 3 —-—> rum mi.» (2: (9 QB wa 7:7 \$411 we, mu!" M51 ﬁd— Preerc Amp / (,4 alwd h PVCJ-‘vfe dWﬂ Ems; 975741; ‘Aptmolm’ F LAP‘ bypass -—- P' ” PL In ﬁxJiH°h / WC. nah, {44‘4" 4954 Vo/dmeo‘ﬁ’cc’ . C2 = Qua + as 5,? 1..) Re I (APIFMJW [5 ﬁnial-to! #9 m 6/7014 6?“ I C [fl 5—{ > . / ' Z Meg‘f'jtéjé a/‘ /.;w £6 if? 1 35;; '+ /5 5952:}- M daf'm huh) a}; 1:? g 22!} 9293 (AFIK = 155(I’e>z ‘ /°”3=z("e> L Dr 1’3 F {OLA-:3 RV (APIR {A i 15b(1—e>L7I—’V; P K - sz 63 Expremn) ﬂus In Ryan; of- QR : 1);, 11333: 600 1—42); L. (Aplk : ( 7. 7.7 3 QR ’ Tr‘ Dr 17% e K& L aonsS V¢Agl1>w e~ Pia/MG [J' ‘fQK 7177:: ‘11 (.1.— 0A 123 1,47 635 = ItB Q3 'U‘D‘f : {Ar} 13 v11 lam/Q : {<5 Q3 (2 -— Qk ‘f’ 6&3 ﬂ; Q9 K : 7...,— = “L «All % {46‘s + é‘ﬁ K13 TKK (Q 9 ES 1. 7 {:5 w 7.7 9" ~ _ NW” kg ““1495 6500—671 7L + '1ng: W~Tﬂv 7’1) fg‘ 0g 6‘} J i ~ 23"(l'éy— Dq,_ +1 6 “27‘ DﬁDﬁ‘ 15f Hawaii 7 Enjmcanj ”TA 5‘ 1+”WQWI“’1° W3 “5:325‘45 94”? 1,70,?“ 0, 09AM! MIL/mg: 95 ,,!V»61L,u~1"¢,‘€, -’ 11115 a} a». anshacég {Yaw (Suez «A19 W",— HUMJ 711.4 ﬁnk) “A1117 muH'vplL ”11645 and out. 0151}, 50 Wt, hand, a (\$97915) W‘VC jean/2L1 {17.1—1ch a? cowerwhék oF W5; (ﬂank 753,“ 5.? 14 +4.0. M17 @1571!“ 1" 11147 7Cn§7¢7 OF— ] mid— l? ,1 “(+7. , PM 1999“,, 1’9; éﬂwxhe‘,‘ , , by; I? \l , ff 00:22 ', "490,5 : 729w”,- CorJ’h‘ Ihhl—J {Jr/1'5 EWuML ,Agzmgﬁ ,1’9~1,—, M11“ .,.,~,,,,,!n ameniuék: , W91, , W3, WW 1‘6 Q," _ \$111042»; 9 Mm, 0 ,0, am, -: 00 <v>3 A. 711% +397“: 01,174 191+, ls, , ‘19:}: 1’99, “(7‘ 91‘. 099—532 W,“ ““16”, h. C0.\/.. W999 l§,, ,.,.1¢~s* wtw‘a 49mm, 9; <v>,- ’: k3 __ 1.2 ? v? = 0 £3 7 —- :34 P1 7‘4"): ”(1-1911 _(:u’>:‘ +05,“ ‘5? :5;- +31%,le 1 1 Cm ‘30 raiutl“ 5V 55‘9““"3 ‘nmmﬁ'ftiﬂt *kul; (A9; {ﬁg A: 50 3": 1:: :2 a P 4” .—--.. ‘ /‘ ”‘b‘w’r mum; “515' 5a 1,30 N, ﬁka‘rl'r ”work on ﬁg “13*?“ véhuwe \$6 (QWSVAO Ne ‘k‘m‘?’ 5o. 5.“th 5', aka)?“ “(Mad (u‘bukn+ I‘m.) {a “,JIX‘ %( Run-Mug in : a.- 5‘00: + Eat“ >jL-rgv <v>‘:.0 9.4: a 3;“ _M: 1+; 19.. 1 a 1 _ ﬁ /’ \n VH3 Ln 15/113 '9 ’1 ”' ‘4'“- 51» Q ;; [bus-mmd 4&4} V; : “(05:01“; (15.2): { “HT L 5 Draw Cmﬂ*‘"“ Vnkom. as “(1'3'50‘514‘ EMFQY 9.4mm, {Bgrngv\:‘3 M 21‘ Wk. 0‘} awappf“ Jim is gin-“HF wax in +1.“, caa‘htxi vﬁ‘y‘wﬂi 411“)". a: l a; Emu"; *gk} 1€<v>-‘+b\’“ 43’: é?- rgwxﬂv I s b _ Law: ; 3"}? 4, ‘?~ 9|. + 3w; [49 F: :2?" .- {)V‘M Wté (V!)- .20 1 \$3 §€J>~x 2 SW5, 5w) Mmspha‘ if [a 33 w) ?\—-PL :(2. Sq‘ 14.3% — M Vl‘lo‘s" ...
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hw3 soln - Drag coefﬁcient vs Re 25000000 20000000...

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