Partial preview of the text
Download Mathematics of Fluids and Plasmas 1: Fluid Dynamics - Recap and more Cheat Sheet Fluid Dynamics in PDF only on Docsity!
rat igor mia owint| 2) bldetilctadol Di ht J] a 2 8k LUIdDS ie Deevilons tlyes (xl by) lve ov iRRevanewar UX VY TO 7 Y=VG 7 Ā© =scak pereenar ~_stiapy 7 QE =O @. ImcomPaessipte V-Y > O 7 Y=VxA A ZvE cron PerEenat "Ase, @ > corer ds ~ Gauss > SSS, vevdV= SSL shal ais ol Als Se bt Lol =dectrder| veerae yey HR SS. Val div js St heads bile sseatapl Eoeeran ⬠= Stonetel 2 fs, (yew) elds = 5 eo hele bilvi. Bs) ds + FCs) = Paranereic Eavarion oF euRve Repeeseerario~ oF Fier ds dx ax ly de > a <_ STREanuines gS = Ā„ rad LES Weal Ae | cbse Vat b=? Vet Wel a hy de tee ee de ree jEseeid pt cyurcrra Ve > yO T sPueercar 7 vr 7 ve > Ve * SPacieG DECRESES WMEX RASTER _ Lvl > (Mitt) 7 Foe speep e@ STrantine Fercriee > A= (0, 0, Ā„ler)) Wevtol lviyxla + yt StREAR Furerion 29) Me = Vol = |= TS | ie dy dz ā_PatheinĀ£ $| 2 vidsdo, 6) 7 Wao, My te |, Ve oe LE Sreapy SRENe AES sed PATHLIES cornctDES evel ropets | He lel aldg Fran ATO FO Co-seevario~ LAwS$ = mass etex = {§, py - ads Rass es) 22 das 4 . 7 commevity Eqvation > de + B-(GĀ„) =O | From dt =-F > ESS. pdv => eure ds HyYbrestarre EQuieiBRiun > ~Vvp te f= 2 Rigas ay w 7 tacrawcun deRivarivE 7? DE = def Y-V (VW 5 vy ox ty 87 tw % be ni be = contieuty Equation ā> Fe teVv-y = O 7 iF imconpresspee, V-y=0,; De =o ! by ve I -_EuLERās EQuariow oF rotrer 7? De =. P. AF ieRorationae, Uxv>O 7 Fiuid 15 1RRoTATIen ac FoR Ate TIME . 22 w za |e ~ Berreuseaās Equation Fon rerestia Fiow > ae tH Pl) | jeten =o Vive āHsivsĀ¢ tg24U 2 : 2] & bale |eĆ© Ā„ Es ~ SrnpamiwE penouters tuseen t Hat He 7 2W4 9 tg2e Famer tg ee ZEKE tq2:PE P= Kore tak dap CenSterr mass Frow fare > @VA =cors7anr = de z Lapraceās EQUATION ā ā ir iedorarionat Anbircenmiessimt > Vxvize, Ā„=VĀ„e ) Vivre > Lapaceās Fausto > VY: (VG) = VIB O ~ipmicner B.C. > Bro ns bro | v0 as 200 * Uriave-css THEeREN > IF Ā© 18 Giver or S ard wire V, ir if THE ortySocurien sanisFyire B.C. 8 E(t) fe Sell ~Axtsmaerme soumoes > D(t,0) = Ā£, \agt! FET) Pe (cose) + Polos er axe L(-2) ~ oRtHoGoraury 7 i Pal GIP IG = lambs Ox Sete Ole ieee Paterate ā(Put ens de