conservation of mass

Consider a system of a fixed mass,$m$ as shown in Fig.3.17. We know that this mass does not change and is conserved. This leads to the law of conservation of mass , namely,

Figure 3.17: A System

 

$$m_{system}~$$ $$=~constant$$
    $$\left( {{dm} \over {dt}} \right )_{system} ~$$ $$=~0$$     (3.8)
with $$=~\int_{system} dm~=~\int_{system} \rho d \forall$$

(c) Aerospace, Mechanical & Mechatronic Engg. 2005
University of Sydney