lecture_16

lecture_16 - 1905 Mel abb‘v‘[email protected][5’33 ———r 73L...

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Unformatted text preview: 1905 Mel abb‘v‘o .' @CIL [5’33_ ———r 73L 90445115 33:0 0 26! _> .A a J W)? /;g +/ V)u. ‘ “.2029 + I: ‘VVZI: / c K A» “WM/WWW AjM'W' 5/9 M=ko+6u/ +61%; 7L "' V ~Vo ‘fGV/ +6"vz + r- f’ =P» + 6f] +6??? UJV —9 UJV W x/j —. )(Jy é "Luvs, Wu) eh, I: X 0'ij Fed-‘CDZIQQ 0:00 'I' 9 Hz +éWU; 724/6 J V1\/¢,+C'V,+,... 5M1”): + V, (9M PAM/v1 A \7vm =49 (T) v»? = —v,o New»: M9“ 9m ._ +V___ _9 2225‘ 91“ [M 9., 5f+e§v+f§jj 9)( 2V V20 V '* an.“ v -+ -—-—-.- +- v — 9 7,90 ax 97 5;; + 27; 7‘ 37» Zmo‘Wqu—w W Mam 9a 3 - /° 9—; +5249 0 M91~—+v9_uv ,9 9K 9X W/JMMM 23—514925/20 val—[+V2V1_§Ip+§:0 pm: 66 a} :o Mgr/[(0 3 ¢}‘ ///////;/ { ¢ 1 / ) + V0 *0 - comm.) {69/ fag //,:' / /)_ /// lVo:Vd(I,3+fi / If, M ’7‘ (8‘) mac; - r. 4:, vv W J 9 Lip} W 6 ¢ Wit-‘4 an, s I/p 7’ O V03V€ = O / ( ff; @014; ms at» (w 51, : wow‘ ,0 - 47W MM “fwd W W vol“ 00) :75’? <</ €2.94 -Madc:mim ‘Ww‘ééeco/awd wcffmjadfw m 615% fix e ’6; d7 Ark)“ W M M W flew” dyad vi“: W’ “0* éawcewm :33 ‘E-“far ZN" v E7” U’g + 13/1515 F02 INTERACT/N6 Bum/my LAYEK Timmy Eo/ve Viscous flow egumééns via asjmln'vbb yer/es I _' m #:e 51:19” [Jammcfir e E & A W745) = way) + eu,{x,j) + Ezuu/xljfim V- 27 = 0 V( )= V0( )+£2V!( )+"' _. a 2 24 F( ) =fo( )¢éf>,( )+51FZ( )..m H-VU = —V}>+57u 5x'nce e pry/Effie; hi71ves‘zl-0ro/er pier/vague, V227, 1%; )5 a Slew/(2k ferétrla 25'9", Must,‘ usr/ Se/omk rim/ed Var/'aé/es near wa/I, 2 2 mm): wx,v)+ eU,(x,y)+ m Yaw/6 AIM ezwfigyflz We? v( )=vo( )+ev,()+. u=u v-v/e " éoVet’M;rL7 79465316 oral! ma‘lC/tn'v may :9145 pr! 8 Oder PraL/M; V' §= O ' gov; :' —\7P + EZVZZ; at}: a e J—nMCr Frog/Gk ?#(*§_¥:0 'L 7 U: fi'; /a 24! 90 2P 23” 9—9 / A Uax *Va‘?=‘§>?*€axz* 9Y2 s V'V‘O (M.2=0 D‘ovir‘:—VP BU 9V_ ‘ 577L57‘O 1 0:516 2 c) (J U57(j(+V§%‘-‘ Meé‘Xe"D-—y2 \ d c... J A J d P'rS‘K‘OrJer Eiua‘lwas: M'No+6ul I U: UO‘FGUI vfi=0 IZZLeV £7427: -Vf> U D 532+5¥=O a 220 )lec U%€’<+v%‘§ = “2;? * 6Y2 ‘ Displacement Effects of Boundary Layer on Potential Flow v with BL . Actual Flow ’ — _ " — ‘ ' ‘ ‘ “ lelhOUI BL (may); aim-.3) II I «53‘ I I I <5“ I l E; | EL «3‘ I ‘5 ve(x) v($7y€) + y - - o . dx A By Fimifiws r Flow tangent to dA 3: a dA 0! WWW“ M d' I [b d g u u .1, -. l N 1512) acemen o y = 116%; - a—z‘ = “ear— _ (ye _ 2f yawZuifiax...) :‘L‘LDYZLQM A ‘ I: a)“ of Sngnaflj 4' d due * . . or v: = E (ueA) — ye-d? ==> A = 6 (by comparmg thh Actual Flow ve) y my) = C(x) '—_—V-\-V—\_<\-V—\_QR~V\ K'—\- “x ye av J_ L J- L .3. w 213(3) = vwan + —a— dy , Vwan (x) Flow NOT 0 y tangent to wall ye 6“ = vwau o a; fly du d . or 116 = vwau — yea:s => vwau = $01.36*) (by comparing with Actual Flow) ...
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lecture_16 - 1905 Mel abb‘v‘[email protected][5’33 ———r 73L...

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