I have come across the Reynolds Transport Theorm in my study of Fluid Dynamics, and it's a very powerful tool.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac {DB_{sys}}{Dt} = \frac{ \delta}{\delta t} \int_{cv} \rho b dV + \int_{cs} \rho b \vec {V} \cdot \hat {n} dA [/tex]

Where B is any extensive property of the system, and b is any intensive propery of the system. The term on the left is thematerialderivative of thesystem, the first term on the right is the rate of change of the property B in thecontrol volumeand the second term on the left is the rate of change of B through thecontrol surface.

This seems like something that might be useful in many other areas. Usually the same equations are found in nearly all areas of science. Does this have any applicability in say, E&M? Look's like it should. The surface integral term looks like Gauss' law, though I am not sure what the other terms would possibly represent.

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# Reynolds Transport Theorem

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