Consider an infinitesimally small fluid element with density (of dimensions dx, dy and dz) fixed in space and fluid is moving across this element with a velocity ( vec{V}=u vec{i}+v vec{j}+w vec{k} ). What is the final reduced form of net mass flow across the fluid element?

( frac{ partial rho}{ partial t} )

( nabla.( rho vec{V}) )dx dy dz

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) fixed in space and fluid is moving across this element with a velocity ( vec{V}=u vec{i}+v vec{j}+w vec{k} ). What is the final reduced form of net mass flow across the fluid element?
A.	( frac{ partial rho}{ partial t} )
B.	( rho vec{V} dx ,dy ,dz )
C.	( nabla.( rho vec{V}) )
D.	( nabla.( rho vec{V}) )dx dy dz
Answer» E.

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