Leibniz rule material volume
Published on: 20 February 2024
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$$ \frac{D}{D t} \int_{V_{m}(t)} f(\vec{x}, t) d V=\int_{V_{m}(t)}\left(\frac{\partial f}{\partial t}+\vec{\nabla} \cdot f \vec{u}\right) dV $$
Published on: 20 February 2024
$$ \frac{D}{D t} \int_{V_{m}(t)} f(\vec{x}, t) d V=\int_{V_{m}(t)}\left(\frac{\partial f}{\partial t}+\vec{\nabla} \cdot f \vec{u}\right) dV $$