INFINITESIMALLY SMALL DIFFERENTIAL CUBE IN SPACE

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Presentation transcript:

INFINITESIMALLY SMALL DIFFERENTIAL CUBE IN SPACE GOVERNING EQUATIONS OF FLUID MECHANICS DIFFERENTIAL FORMULATION FOR A FIXED INFINITESIMALLY SMALL DIFFERENTIAL CUBE IN SPACE

= MASS CONSERVATION CONTINUITY EQUATION FOR A FIXED CONTROL VOLUME NET MASS FLOW OUT OF CONTROL VOLUME = TIME RATE OF CHANGE OF MASS INSIDE CONTROL VOLUME

Net outflow of mass in x direction

LINEAR MOMENTUM CONSERVATION = FORCE BALANCE FOR A FIXED CONTROL VOLUME TIME RATE OF CHANGE OF LINEAR MOMENTUM FOR THE SYSTEM (MR) = INSIDE THE CONTROL VOLUME + NET LINEAR MOMENTUM FLOW OUT OF THE CONTROL VOLUME (ON THE EXTERNAL SURFACES OF THE CV) = FORCES