Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz with mass δ m and volume δ V) moving along with the flow with a velocity \(\vec{V}=u\vec{i}+v\vec{j}+w\vec{k}\). What is the time rate of change of mass of this element?

\(\frac{D(\rho \delta V)}{Dt}\)

\(\frac{\partial(\rho \delta m)}{\partial t}\)

\(\frac{\partial(\rho \delta V)}{\partial t}\)

\(\frac{D(\rho \delta m)}{Dt}\)

Consider an infinitesimally small fluid element with density ρ (of di

1.	Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz with mass δ m and volume δ V) moving along with the flow with a velocity \(\vec{V}=u\vec{i}+v\vec{j}+w\vec{k}\). What is the time rate of change of mass of this element?
A.	\(\frac{D(\rho \delta V)}{Dt}\)
B.	\(\frac{\partial(\rho \delta m)}{\partial t}\)
C.	\(\frac{\partial(\rho \delta V)}{\partial t}\)
D.	\(\frac{D(\rho \delta m)}{Dt}\)
Answer» B.

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