Reynolds transport theorem
Published on: 20 February 2024
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Reynolds transport theorem / Reynolds theorem
Reynolds Transport theorem is a generalization of the Leibniz rule and thus the same arguments are used. The only difference is that the velocity has three components and only the perpendicular component enters into the calculations.
$$ \frac{D}{DT} \int_{sys} f \rho dV = \frac{d}{dt} \int_{c.v.} f \rho dV + \int_{S_{c.v.}} f \rho U_{rn} dA $$