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Lecture_38_39_notes

# Lecture_38_39_notes - Chemical Engineering 374 Fluid...

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Unformatted text preview: Chemical Engineering 374 Fluid Mechanics Fall 201 1 Computational Fluid Dynamics (CFD) Fluid statics (no flow) Basic flows: Bernoulli Equation Integral Balances: Control volume 9 mass, momentum, energy Differential Balances 9 momentum and mass (Navier Stokes) All of this was for — Simple conﬁgurations that we could directly solve analytically — 0-D. or 1-D — Steady State — lncompressible 2D or 3D ﬂow in complex geometry, or turbulent, or compressible, are too complex for analytic solution — 9 Solve with computers Big Subject 9 give a basic introduction Key Aspects Governing equations Convergence Mathmatical Stability description Veriﬁcation Grid generation Validation Numerical algorithm Turbulence modeling - Commercial — Ansys Fluent - CD-Adapco—Star CD - Free — OpenFOAM - Free CFD - ln-house codes - (everyone’s got one) - Many others — www.cfd-online.com OpenVFOAM Bvufs Nuts and Bolts -' Most of CFD boils down to the following - Create a spatial grid for the solution — Finite difference 9 grid of points — Finite volume 9 grid of connected 0-D control volumes - Here focus on finite difference — Approximate the derivatives using the grid points. - 1 PDE 9 many coupled ODE's, one for each point. - Solve the system of ODE’s at each grid point. 3: - ﬂ ”3:: a \ ”a? ' ‘0‘; 7 jrxi 2' :57: 4.4L 4+3 . 6“? 0f 729%}; ”((056 ‘ G o L . o ‘ (D Ax: L 4-. ,L AH N-l . (#1. 2': > I; Q [ow‘k-v’. f "we '1 Arrhyximah U “4 a4 65411 Pain" A “’in ’DQV‘ - (”D (ﬂu) N (EV/x _ L 34—7; “W ’3’)! '3'“ (7 A’X 2: 7 q, “44' — ”1 Ga 3 ) ’/ 7; U4 ”'44—! t 1 and ’3 M ~ U ’1U <). U at (V Il+l A 4,” »’D’X L —_m. Ax?“ ”Du/t : /‘ (UH. ‘lud ‘Luor ., J» 3? £07 MHAIU/ X ‘1, N” 31. 7" pig-"i. ““““““ f m: New. \$0106 ‘TLMc 0D,: ' ’ 5 ‘ ()6 \ ‘ 2004 \Padalnlr (>05 \$0M” v a - UM £94?th Eula— du " 7;»: my a M“ A Hm soloc kn; +1., 0015- game 3 57w :4 3 wﬁk’ma‘v‘) ”I \J/ F (0'3 'DM 4 :31 :0 : v. (I) =4) 7% ”Dy 7_MD_\ f Op. ”3:, i :2: > ; , 7p + 0'4 + un .71 ”97“ 1'7 ‘ax “9%" 37"“ no ’3 ’ 7_Mp.« / #JQKBE—év’i "2i+/[?:9143:‘i ’34, '0)! ‘77" '3)! 7" '07-L * X—MO'H {.3 TL”- Ul 6?“ a -M‘pa-A [é m V (7'1, ,. law} W :9 TL: P 67" 7 an4r~v~uvy7 7 664 «a P €7VL b7 +al¢iAJ Vv MOM 67A , ﬁat) - .. ..~ \ .a -—> v—v‘» ., 7" v~(u.vv ~ Dad‘s-’31.: P“ éraa’, so)“ ;.—\ “Fm: BOUVIaﬁ-Oy (“risen/3 WAN; U : \J :0 (a? “I: \V’ : “waif / 1" ["1 U " ”‘6, V: \l.‘~\ (Du—HMt 3‘2. :0 I 331,“) 'D‘X... "a!” "\ZEQ‘IéMIO‘M‘M" “A 0‘5”“? is a Pra‘orﬂm) {A} [0(«/( mus-a SMMH ﬂ... 9‘6 :36; (00,1 L95} examplm may incomrf(}§;b)(‘ \ Qkxq COMP/659\$”. ' C‘V’LW é‘“"" él’ﬂ“, “'4’ émal} {fag-RP; " éplOf a! ‘\ EﬂM/y ezlgﬁ'h‘d'ﬂ {4.20 ‘ f= MP ' .0 .75? W9 LA, VIN), f: f ‘5 e7w /Unkn¢) 4:, LDth-n Rant-HY. éoNf 67M \$457 \{J ' Qkér‘l {Imkdtuql .' MM {:3 ”Mg," {Ll {w’aHIk-rtﬁ -—-—> apo‘vvoiofl £97 Mock} {J' (”WJI'W'H') __'.—.-_.4 ‘ 6“)" QUA IHL/ { ‘ ‘ - ‘ ' § \15 k. . H) o Cphmma) 60L! ‘ Muir-M 36w, b l‘au‘d;0~ i ah, MW 356mm Damq} ivw >c+afl ;« man eon. #WWWM m. Twyl—prbvc :s ”3D Dasha 7 C prlrl‘c HM a. /%T ¢ 0.7/4 3) M sch/M, T04 T4 (“07L 64g Tam); {a hamlet Ha gnaw {g EXPbMuxm (0MPM1‘QJ;0'IAH/‘ £052) fwlq am {at , 60 'Dowé/"(ﬁi ﬂ“ Dow“ 62;?! (7517‘) Rapid“; Tmlqulﬁvmc' F»? CFO 1.5 “.J'Lc) DNS :DM‘J M‘“M"“j €\$n4u’¢t7’"0~0 r-P only WC, .‘ln ”fSCM/L 0’ A” Frbclvhcca’ CF’) (9:364) WO‘JC' 7‘14 'II’MQJMKI ,— \$010? F”) “Rd W t. FL)“; .—--——’> RAMs (Reyna U AUWJc New”? 3+0} a) _ 04’7 27:4qu TL; mi; “Mm, ALOHA émaJ/W ( LES -: W75 E37 §;m-A/a7liow) (L53 {5 expo-act‘vt (”‘3 Mo\$H7 ﬂwftwyng ,6“! ”Jay [€65 exgxww'w 'lLoA ij} I /’\\)U>a74~ ’ﬂa F100 ciw‘fs‘ow : a : HES-:32 5L1,“ 55 »< éw 7W'Vr, w v, 5,; T :53 17 5...; nmhwwuuwmwwn-‘VWI v WW! __ (x M —— . “r“, av-(W = 7W #5 wé’bv +\v (w )1 —" ,— , MK IAN: 1:7.»4 in "L ”47”?”"3‘ V, )7 1%: we Dow w» v’V' a.» km {a “Ma/p; m 7: m “M” :5 an): \$4.7 6a») MW; 07 "TIA/u. Tam». W [5 TL»; BonDLJ)‘ §H0:9 L'xl-A uﬁ-‘b % 5%‘Q‘é5 0“” ‘3 ”W J moatltam :75" tgévaf M ”/4 is 439m: ”“2de {MLJw} (tintwv’l‘c, Unnswb‘yh . 714.1 Shaka) MM is (be ) vm "Larva/m Mead” ' / ...
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