Consider an infinitesimally small fluid element with density (of dimensions dx, dy and dz with mass m and volume V) moving along with the flow with a velocity ( vec{V}=u vec{i}+v vec{j}+w vec{k} ). The continuity equation is ( frac{D rho}{Dt}+ rho nabla. vec{V}=0 ). Where does this second term come from?

The rate of change of element s volume

Consider an infinitesimally small fluid element with density (of dim

1.	Consider an infinitesimally small fluid element with density (of dimensions dx, dy and dz with mass m and volume V) moving along with the flow with a velocity ( vec{V}=u vec{i}+v vec{j}+w vec{k} ). The continuity equation is ( frac{D rho}{Dt}+ rho nabla. vec{V}=0 ). Where does this second term come from?
A.	Integral
B.	The rate of change of element s volume
C.	Elemental change in mass
D.	Local derivative
Answer» C. Elemental change in mass

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