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ho_10_16_09 - RndamerrLal 5o‘u-Eons— Unl'poO‘l F’ow...

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Unformatted text preview: RndamerrLal 5o‘u-Eons— Unl'poO‘l F’ow O Consacler 41’0“; wail!) cons-£2011 vo Egg-Ly, Para-Hey, +04%. ’X—awa. U'= U anal V=o Vfllou‘L, Po-Erréral @(Xn/B: EEE ,5 egg §§=u => @zUwflys SE! - as: _ 4}? = V = 0 $3.»: gag/(din #9 = 0 -_:~ 7%): mac. .°. 4)/¥,Y\ = ”X + 6.00547. (girargbvb [me-s paral’d 4:3 y-aatcl z %* ‘i‘fé = 0* O = O 4411:: VC—‘OLF’V PO-Lcn£lal swab-{7:25 Laplawé afw. - 2:. H: {JacuLJ 5-; ream lung-Elm ”1"“. V\ I fill; + $ = 0 + O = 0 ”ILA; filltTd-‘N'AJqfi—‘é'lbo 534’5‘A‘5 Lap Laue. is man. 50 SHEETS 22-142 I00 SHEE'IS 22 I44 200 SHEETS 22-141 Figure 11.4: Streamlines (—) and eqm‘potemial lines (- - -) for uniform flow. FU17._4.'3M€1'1‘£¢—1‘ éolu-szrjb -- 23%.cr'rél'a, \Jurfiic‘x F" [m— Ur=o7 U6: Camp; la“ 4‘1“, 4’0“: giver} bf \/£lu;_.i+7 Po£€rr£+ai {jfitrg‘1 '. fig 4- c.£,)")$rI::_ ~— -7 up “J . -.r‘.. \n;l'1€,r::., r1 :- Lir:d’a‘l‘loq a a! E ‘ Mme; o-I (0‘41; ‘9 'Jd—F3rJej<T-Q+C(1JLBPO Li": 1...?!) [3’54 c- ¢ fl_ . ‘. qS/reB 53L, 0| E ..=. 9. EE §§ =2; a'a' 22-14] 515%“ am Lox/{won ‘i’ (C Q\ I #z-Ua: i II: “VA-9L1 - r1 inr'i'COO‘rL. — S'ertamiirwa. art; MCI; )ICOIT 21 Figure 11.5: Streamlines (—) and equipotemiai lines (- - -) for a potential vortex: the radii ofihe circular streamlines are r1 = apt-21:11:.- / F). L Fundamgnéal SCIU“LIOO$ "- 5£auman GTfY'ifig édni’a A sour-m. prawaens. a geanoétav‘ré vo’uma flag of finch (Q, amaoaéwg “26me «Elm.- wmfiw. \n/hen a? is margaJWa, 4453‘ Egaufcfi, bfléfiw‘ié} a: 614k“ .7715 “flIOw )3 gfvéi“) by Mr: “Q“. 91nd! U9 :0 m-bboard 2317'?“ EEE ECE/ xxx ‘ Maw: MM Ely-ENE wig M 32:: e'wieeh ngIod-Ly PavEenlbai qBZr‘,Q\ ® J4)- .7; O :5;_ Ur Z'I'rr- 'F'fig— ' F919 ‘0 7;” flfflfl-comwz: .- ép(fi9\ :: ETTQ/n/rg .5. 614309143". g—érm mafimmsémyi W/r‘g) : LN; ——__.Q r'fl" Mr ”W c Figure 11.5: Streamlines (—) and equipotential lines (- - -) for a potential vortex; the radii Ofthe circular streamlines are n = exp(—21r11;,- /I‘). Figure 11.6: Streamlines (———) and eqmpotential lines (- - -) for a source and a sink; the radii of the circular equipotential lines are n = exp(—21r¢>i/Q). (a) Geometry (b) Streamlines, a. ——. 0 Figure 11.7: Source-sink geometry and streamlines. $37 Table 11.2: Fundamental-Solution Velocity Potentials and Stresmfimctions fl_ Velocity Potential, d>(r, 0) Streamfuncticn. 112(1', 9) Uniform Flow Potential Vortex “— 21rr ...
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