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 rate of change in mass of 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}

B : frac{partial ho}{partial t}

C : frac{partial ho}{partial t}(dx ,dy ,dz)

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

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