Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Mathematics of Fluids and Plasmas 1: Fluid Dynamics - Recap, Cheat Sheet of Fluid Dynamics

Topics include: Fundamentals, conservation laws, common approximations, vorticity, solar wind, waves, viscous flow, turbulence and chaos.

Typology: Cheat Sheet

2023/2024

Available from 06/28/2024

simone-scali-2
simone-scali-2 šŸ‡¬šŸ‡§

11 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf2

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 —_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 —> Fe teVv-y = O 7 iF imconpresspee, V-y=0,; De =o ! by ve I -_EuLER’s EQuariow oF rotrer 7? De =. P. AF ieRorationae, Uxv>O 7 Fiuid 15 1RRoTATIen ac FoR Ate TIME . 22 w za |e ~ Berreusea’s Equation Fon rerestia Fiow > ae tH Pl) | jeten =o Vive ā€˜HsivsĀ¢ 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 Laprace’s EQUATION — — ir iedorarionat Anbircenmiessimt > Vxvize, Ā„=VĀ„e ) Vivre > Lapace’s 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€œ(Put ens de