Question: 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}=uvec{i}+vvec{j}+wvec{k}. The net mass flow across the fluid element is given by ______

Options

A : [frac{partial( ho u)}{partial x} + frac{partial( ho v)}{partial y} + frac{partial( ho w)}{partial z}]dx ,dy ,dz

B : [frac{partial( ho u)}{partial x} + frac{partial( ho v)}{partial y} + frac{partial( ho w)}{partial z}]

C : [?]dx dy dz

D : [frac{partial( ho)}{partial x} + frac{partial( ho)}{partial y} + frac{partial( ho)}{partial z}]dx ,dy ,dz

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