3.6. DIFFERENTIAL EQUATIONS OF CONTINUITY
3.6A. Introduction
In Sections 2.6, 2.7, and 2.8, overall mass, energy, and momentum balances allowed us to solve many elementary problems in fluid flow. These balances were done on an arbitrary finite volume sometimes called a control volume. In these total-energy, mechanical-energy, and momentum balances, we only needed to know the state of the inlet and outlet streams and the exchanges with the surroundings.
These overall balances were powerful tools in solving various flow problems because they did not require knowledge of what goes on inside the finite control volume. Also, in the simple shell-momentum balances made in Section 2.9, expressions were obtained for the velocity distribution and pressure ...
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