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

6. = 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

8. Net outflow of mass in x direction

12. 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