Lecture-8

# Lecture-8 - APPH 4200 Physics of Fluids Problem Solving and...

This preview shows pages 1–7. Sign up to view the full content.

APPH 4200 Physics of Fluids Problem Solving and Vorticity (Ch. 5) 1. Quick Review 2. V o r t i c i t y 3. Kelvin’s Theorem 4. Examples 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Ç"Tt=l ~ I \$T1P#( ç-r;: ,#3 Ç(¡i it l+ Ç'7E rP t: ç- D iI;4 Lv A fJ t c.t u /Z t2 ~ tv (L (TE p Ô t- /V A- L- L I~ ~ ò C- A. 6 E 0 J/ £-rlf A I' io f-OJi c. ( "- '1 S _ r ç TH i S A 1) T ¡v A. ,CA-L ¿) t1 çrTI ( f If ¿i ~ '- E. . ? ~ ~ ~ o~ TOY /VA t- (c .) A il l' ç (. L ve.L (J -t L( .l ~( 7 A--- ò~ a~ L lÍ ~ S' t) TH &2 \.' ': 0 l2 (¿ &. ..A ~C¿)) lj rf c A J) e Å."- '- 1- t~ P Yl () -1 c. c."" ~ rl t7 Âd (. c. lf r1 c).l tf ,c t F l'c ( C U t- 'r . ç Ec.tZLI -lK ;10\7 ~C)".vEf'(tE4Â7 LOù.l~/.-A-~ ç (" S Te p. . C' A. -r ~ C 01/ ¡J L( A. t=A- cE 0 d /ê ". r A. .A~ S / N /Tle/'0 i x. (J. ') N¡i L '( GO;. S E-I? V iA(l Ò A- pI! ( ~ C ( ,oL C S rk 0 -' IS.- T "" ".1 #/V '7 v l ~ "'Ò '" ;£~ (v ~r E-"IS ft-' r ) p Il ( __ c ( to L If (è ~ò Â, Ç( pf.;AJ C tAr\ Y ()v CJ- A- ç . i It A- i/ ~ c-GQ òi,J L L L f S Y¿L)/l SDLU(fdl--: ftiL l ( t- ¿ l!J /Z / A.u ,7' è) ., How to solve fuid problems? (Like those in textbook) 2
Mechanical Energy Density for a Stokes Fluid 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
i 'V \ ~ Nl"ì I .'" \£t C0 -i \l" 1'J 0 l~ -l'" .. + \l ,, ~~ J /' - IltJ 10 I" ,- (1 ì! () l t i. Qj tLl '- il li) \. -- q" " \ i :) 1'3 L I- re Q \t b 1- I~ . u 't I :J a , \j J' f- 1, 'x i cd ') Ii , , ~!J Z '" .J VI ~ , "'\ -i l:: \ -l r W\ -t 'J II ¡: ClO ~a. ~O- Q Q 'V a- lJ CL It: '; ! ") q, ti s: (- v- IJ v 1 ). VJ "\ :¿ C! i- '\ \/' :: '-- l: I.L 1 )- (/ , ci "; I.. "' \L ; ~ .~ l:: J ~ ~ ll V' q; -0 Vi cv Fluids Equations ( internal ) 4
r¡r- -i \ i :J ~ ../ i~ . J -If' t "t - I :: 0 Il\ ~ (' (U .j , + ~~ vA l/ -i (V \~ '-,f' () (\ -- ,J Q I 'X \\ l '.. l. lL II L I\: l=- I~ b. Z /' 1: "= -l-a I :J F ?\$ i \L ù I tr ' \ y. lrJ 'J -. r- 1~ .J 't -: 1:5 '- v :i .. ,~ 13' l~ X 1- 'j )- b- el "- )~ f- 'C 1"3 \-. \~\ .u I~\~ (" ~ 'I (ò C' \ c: 1/ Vorticity Dynamics (Remember the importance of viscosity.) ∇× ( A × B )= A ( · B ) - B ( · A )+( B · ) A - ( A · ) B 5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
.. ~ i 0 y r- , ¡:. . 1: Q ~ F .. ~ II Q * Ç) ~ 'i V\ - lL )l :, J :i -; ,.. tJ \J L. .~ \D \I 'f "" " tl l \1 c\ ~ . ~ l. k j ,'- ) r l( '- j w \ i rv ,. 1 iv
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 28

Lecture-8 - APPH 4200 Physics of Fluids Problem Solving and...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online