ME 310 Lecture Notes - Lecture 6: Viscosity, Stream Function, Fatah

• School: University of Illinois
• Department: Mechanical Engineering
• Course: ME 310
• Professor: Gabriel Juarez

Document Summary

H l parliament velocityaccelerationfields velocity v ui vjwe acceleration a date uddxtivddy twdfzax. Volumetricdilationrate ave subsanadenvave dpfi ddfi v dl d i g j i daffk dcddth duxiddytddf o. ir incompressibleflow o lineardeformationdaily. Rotation bout w vorticity e vectorthat"s twicetherotationhector f day daff rotayh. oanxgaboutiwy tzfdz. tl daff. Conservation of mass dy o 4 pdt if pvorida 0. Differential form of continuity equation tddydidffyvl idffzwt. no conservation of mass continuity equation in vector notation it dd. O d v daily days cylindricalpolarcoordinates continuity equation offtfdtdrfdifdfffo iddlfd. co1. I u dayi v dff streamlineslope dye ax. Body forces forces distributed throughout theelement weightofelement ecg ofelemen. First subscript direction normal to theplane the stressacts secondsubscript direction the stressacts in on gf 8fs 8fb. Pg x dd0 daff daff p dataiud pgyidfxxy ddoyyy tddf. tt p dat uff vfy wii ogz died daff t dd. P gf u d vguy wd teddy wie. Develop b c of viscosity and rate of strain of fluid shearingstressesneglible.