Lecture-8

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: tp ~ tI ~, ~ I .. .. l~o - '- -trJ Q. "'J l" N ~ r: ::~ ) - Ik ~ ;) - ~,,~ "-- "- "'- "'. ~. _ -(1 , lp i .: ~ r1 t\ Force balance: ~ " Problem 5.1 '\ '- '- ~ '- ". "',-", .. '0 ~ / 't l£ ~ N.( i( i: ~ -1 r- N N "- .. -c- ~ IN .0 u rl JI~ N :: ~ C: - ~ L '=.. /' \f (' .. .1: .. Q \1 ,r ~ (\ .J ':I , J+ ~w+- i il .. r ~ (V ~ L .. -\f r& ~ (V 0 ~~ (j c: .. cJ () N .. c. \Í r~cl -£ 'C 4- V\ i ~ ~ Qì .) I: ~- II /' ~ ~; ~ ~ ~ ~) .: ~ '- .. -l ì '0 2 JL ì. :) o ii ~ t ) IJ lL ~ ,r N )~ ( 3l~ ~ r:(I.. ~- ./ '", V ~-'~ .. \~U Q ~ ('~~I rJ "' i ~ -l .. ~ \I ~ f: 0 ~ \= \ ti r- N "'" "' L~ -~- ~ '0 tQ .- J ~~ t1 ~ ~v ~ -' .( t tJ u. J ~ ~ 1i \h o )~ ~ It '\ \r r' ~ .. ~ '.. !i ~l -i ': ~ ~ ~ \) ~ 7) ~ t- t- ø~ 27 Summary • Fluid motion can be described by vorticity dynamics. • Vorticity is conserved in invicid flow. • Vorticity is solenoidal, ∇⋅Ω = 0. Vorticity must either close upon itself (like a torus) or close at material boundaries (like a twirling spoon.) 28...
View Full Document

This document was uploaded on 02/28/2014 for the course PHYS 4200 at Columbia.

Ask a homework question - tutors are online