lecture1 - THE OCEAN ENVIRONMENT FETCH é. / . ; 4’ é...

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Unformatted text preview: THE OCEAN ENVIRONMENT FETCH é. / . ; 4’ é <§~ Cg g g ‘é’ (who); C5 2 / 0?? (i 8 / c2: // WIND , o \‘ :21 ,,,,, ” “1 O”' '\ (mu/ht) mi") E SWELL New LINEAR FREE~SURFfi CE canny—now Z - ’3’(x,>',vl:) GM @ Cx,~/,%) 2 EARTH FIXED cooEDINATE sw’reM “>2 1 FIXED EULERMN VECTOR .—\ ' ( a \/ .’ FLow VELochY VECTOR A?“ X K 1 FREE SURFACE ELE VAT/ow @ ASSUME lDEAL FLUID (m9 SHEAR S‘TRES’SES‘) AM) [EROSTA'TIONAL FLow‘f Vxfi =0 LET : (-3 \/2 ‘74? => VKVCEEG wHERE CFC—72¢) ‘8 THE VELOCITY PdTEIU-T/AL. AgsoHED §0FFICIEWW CODMTIN UOUSLV VD‘FFEIQENT/ABL‘? o PCTFEM'TIAL FLow H®OEL O‘F suemce 0024 v5 PKGWXGATIOM AND wAvE— BODV HUTEQAC‘T/CDNS‘ VER‘I AccufiA‘rE .FEW m PGRTAUT EXCEPTIONS (mu, BE Ncrr'go O CONSERVATION 0F MAss: .3 .VzCD 32> 2 voVCiD—TO :2) K749205172 ~+ __ + __ 2 O, LAPLACt-S ECQUA'nflM 9 CaNSEQVATION 0F LWEAIZ HoHEqu; EULEQ'S ECQUA TION IN THE ABSENCE 0F WSwS'n‘y ET; (‘5 .._> 1 V a; ~——~ + V»? \/ = ~ ——— V + 4902,15) ; FLUID Vrzessuee A7“ Oak) ’55" = — : ACCELERATION 0F Gm: vw'rY ‘41UN2T vamp Pormma IN THE . POSVTNE 2—DHEECTION Q . WATER Dan/91m: . «J [N ‘RQOTATIONAL Puma: qu :o , mus EULera's EcpuA'noms BECOME ; {3:7 .LV[</-'\7 apiv -V(‘2) $71: *2 ) e ’P 3 NCSTE: WE“? ) (j): UFDM SUBSTITUTI 0N: V<%+%V¢.V¢ +2+32>=o W“ F(3‘<,~I:) => V $352M =0 => Pas»; a C II' CGNSTAMT BERNOULLI'S “ECJZVflTIDN FOLng : Bd’ iv .V + + 2 = C 51* 2' ‘b 4’ 23 3 (9K _ "act ’VQ- ~ 5*t*éW-V4>-a%+c (n+5 VALUE 0F THE CGNSTAW C [3 1MHATEYE7AL. As WILL BE S‘HO’WN BELo—w. ANGULAR HOHEUTUH couserzuA'na-zu Fem/oar; cmmweo w: d Vx \/ 0 ~—- U: PA R‘TtCLES ARE M®DELED As SPHERES‘) ABG‘VE gauk'nmv oMPUES No Ana‘uue vgwury A7- ALLWHES .— Q DEIZH/A‘TION 0F NONLINEAR Pea-:- S‘URFACE CQDNDVTION ’Pcpq _ F57 XIV/t) . METHoo I: ON 2—. '3' »P :1 PCL 5 ATMOSPHERIC P125991.) 25 Ram BEKNOULLI .' a“ :8: KCXIY7t) W E: 3 THE MATHEMATICAL Fumc'rzow Z~ :(xr'y, ngxv"; ls ALUJA'YS EERO WHEM TEACH/0» A FLU”: VAe'ncLi—L ON THE FEEL-E SuRFACE. So THE SUBSTAUT'IAL OR TOTAL DERIVA'T'IVE OF 31’ W51" VAmSH ) THUS EE=® = 14:0,cm (Dt 3t 2:: E¥PAN§>1NG wE 057A)”; (19. 4 ansz—mw, on a»? “+3491: +‘E§§E-W .__._. __ __ %: 3t bx Ex '5‘] '33 25% I 3 KfNEHA T! c FREE ~SURFAC5 CODNDt‘TlmJ Fem Beewouw's ELQUA'NW we oBTArm THE DVMAH 1c FREE SURFACE Cam/D)sz: 'acb " 4‘. __, E+Jiv¢v¢+33 :: C—f/e ) '55:? ¢. { DYNAMIC Hass— SURFACE Comm'nom CCSNSTAMTS 1N BEewovLu's EcpuAme MAM 86 961‘ EQUAL. To ZE—feo wHEN £05 ARE I Eve—WUALLY («UTEfZES‘TED w rWECkA ‘TINQ Peessmaes ovee causes ma @PEN ’GL‘DUUQAmES C FLOATING ma sofiuazaeo 809153)?) 037,4,” Fmac‘es‘ 2— MOMENTS. Tuts FOLLowS‘ Pym” A SIMPLE A'PPquTicw 0F owe OF THE We CADS‘S vec‘roa THEO'REHS we MILL USE A Lé‘l" My?“st CmurESE ; GAoss I: «a 13 “n .' 01w?- NORMAL VECTog . PO’NTIMG IUSIDE TH E VOLUME AVL ?(32): ARBI‘TPAPY §UFFIcIarer D1FFEQEWIABL£ SCALAI? Fun/c710“) \IECLTCMZ . S R, warm" Svgd": ~ S'ghels V 5 NOTE- THE THREE- suuue (Gamma: THAT FOLAOW; AQL "ax S U EEaLv=~ Slnlcls V 7 s Bi ch——=- 1cm AS .- =+ a: S QAUSS I: ‘A \/ 2 AEB1T1‘6AQY suFcmzEu-my DxFFEKELr'I—IABLE vsc'npz FUMC‘WON SCALAK V :0 "A "A Q) mam-(117“ ~ - Ve Y1 S AqL v s SCALAE I91:er OFTEN USED To Few: MASS CONSEKVATID‘N Pfiiu c1 PLE: DEFImTlON OF F02CE 2. MOMENT m TEENS OF FLUID FIRE $513425 ‘\TFOL.LC9UOS Fricm GALHS‘ ‘1 THAT (F «P 2(3 “WE FORCE AND MOHEU—F OVER A (11.0350 Bouuomzy 9 Wang; (DEW/(ALLY. HEMCE wt'mou?‘ Lass OF aéuEEA LJTY w W‘HE CWE'X‘T 0F wAus 800% lUTERACfT/ONS‘ we wILL SET (3 so, METHOD 1; WHEN TEACING A FLUID PARTICLE 0N 7-145 FREE sozmct; THE HvaDYHAMIc FEESSOIZE GIVEN BY Segue.qu (AFTER THE CUNSTAMT C HASGEEN 567 Saw)“. TO ZEEo) HOST VAleH A; we FOLLOW THE PAR'F/Quf; "D M 2 a EZ{-a°"5w'w*92§ 0» % 3 0'2 A 0:; w .__... 4- (IbfA'V >bt’z ) a E:§ Tms C(9qule ALSO Feuows upon EUHINATIOW OF 'S' Fm THE KtNEHATrcX DYNAMIC new)thst DERIVED UNDER METHOD I, Tens cam was? THE STATE/Mew- a1: THE UUNUNEAKBWMfiAQY VALUE PROBLEM $ATI9FtED B“! SURFA¢ WAVES “ch LA.qu chxPLATUOE 7N 95I-E’L5TIAL FLO'M) AMI) IN THE A836Nce'cns: COA‘VE BEEAKIUG.~ ...
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.24 taught by Professor Pauld.sclavounos during the Spring '02 term at MIT.

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lecture1 - THE OCEAN ENVIRONMENT FETCH é. / . ; 4’ é...

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