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26 Teorema di Gauss Green

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LEZIONE26 29.5-2023 Significatofisico:flussoperunitédivolume flussouscentedaun volumettodi Z latden,dy,dz Fr(dx,0,0)dydz= E(0,0,0)dydzt F(0,dy,0)dxdz- ((0,0,0)dxdz+ tornandarosae - x-- F. m=x F(0+ de,0,0).i = Fidx,0,0) - ,0)-Fel0,0,0+ E-Fe0,0,0dx +2,d2)- F10,o,i lin ---- =-*10,00+ ca,odx- 0 dy- 0 dz- 1r - divF:(0,0,0) "densiten"diflussointesocome flussoperunitàdi volume- - SIGNIFICA TOFISICO DELROTORE Es- Seconsideriamofluidoinmoto rotatoriouniformeintornoasseEcon vel angoloveEa= wter =x = + y5rett.posizp.torispasserotazione- Abra -> I= =xr=- ywi+ xw) campodi- Velocita-> xxT=(w- (- w))k=20k I = DxI (parted)TEOREMA.Se FeCONSERVA TIvoinD- Hp-Ie.Fe eD)Th[AlloraEEIRROT AZIONALE- Ossezionenecessariaceneere Es.5(voltascorse)E= - y=+x5 rotF= (E- )in y1 -(- 1) =2t Condizioneirrotazionalitàèanchesufficiente perconservatività? ! Es- F(x,3)= ayz- yiD= (R({(0,03 #F= = Ee(xty??"11 inD Enz-yt22Ee(x+y2)2 Masecalcolocircuitaz- lungocfr.centroeraggio=>I2π GF.d= - (sint"-(set)"dt= - 25O1. NoneI conservativo Wirs ateIo,2)v'lt)=(-k)= E te[o.zi) Irrotazional.divertesufficientese insiemeDé"fattobene"

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