Reynolds Transport Theorem

Reynolds Transport Theorem is always a safe starting point.

In a way, it is the most fundamental starting point.

Fundamental balance equation:

$ \mbox{in} - \mbox{out} + \mbox{generation} - \mbox{consumption} = \mbox{accumulation} $

Reynolds Transport Theorem is a formal way of performing this balance over a fluid control volume, of arbitrary shape.

Reynolds Transport Theorem Derivation