E N D
Conclusion Though rarely used, it is the region integration that provides the link between the surface and volume integrations and hence provides the theoretical basis for Gauss' theorem. The situation is conveniently illustrated by the diagram which demonstrates the equivalence of the three integral forms: Epilogue This result is at the very heart of our use of control volumesin the study fluid dynamics of flows. This is because it shows that, in analysing the dynamics of a flow, we can, in many cases, consider only the flow conditions that exist on the surface of the control volume and can ignore those that exist within.