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Unformatted text preview: :i tJ ~ "" \1 tl , r~ 3 ~ ~~ ~ \. II ~ 6 3D Fluid Flow CFD calculation of atmosphere (Iso-Vorticity contours) CFD calculation of flow in mixing tank 7 Today’s Vorticity 8 (9 ~ ~ ~: ).. - \J ~ X W .. ") (. -. -"" ~ it: t' ~ tL. ~ ~ t 1- V Q 1 \r I': '* 'J Kelvin’s Theorem \tJ~ ,. r. f -( ~ () \l l~ G I~ ~V) ~\~ I~ I 'ì ~ .l~ X ~ L'J r~ w () \: ': .j _ V' 10 v ~ ~~ r '\ f LL I. C\ i . I) -. \J ~ .. ~ ~ J ~ Il , (~ (( ~ ~V)~ \i t~ ~ (~ (: -: VI ~ lY oJ n t: .) ~ (. 'C J ~ '5 II ~~ VI ~ ~ fVI ! ~ L~1 :i ç .. '- \f t ~~ 0 v VI -- \J w 1 ~ "- j ~ ~( ~ "' -~ .. ( t- ~ 'fT ~ ) ,. lJ l. "- ~ F- ~ VI ,.. iJ. )Vl , ~ '0 ~ ~ \l '0 '- l .. J .. y. t ~ ~ \. ~IU 10 J ~ r1- ~ '0 ~ 9 ~ ~ 1 'I Ç) -' ~ J lL -t ~ I I' ~ .. ~ t( r.. '" + ~ ~ t"~ -. 'i ',, I~ I l ~ ~ I~ ~~N 0 f \i J i- ~ l~ \ ~ ~ t~ lt: L- \I (~ ~\~ \ l- - J a 1¡J IL t' t u It ~ U ~ ~ .. ~ J~ rJ 0 f ~ V ~ I :: ~~ ~ "iJ X . i~ \. i~ ~ \ ~ ~ t'~ .. l~ \J ~ ~~ -~ ... + t ~ '" _(. Vi ~ !~ Q~ tt c: V' ,- \\ i- '" ., o "l t j ~ ~ u- J...
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This document was uploaded on 02/28/2014 for the course PHYS 4200 at Columbia.

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