Relating the Continuity Equation in the Eulerian Frame & Lagrangian Frame
The continuity equation in fluid dynamics says that mass is conserved throughout a fluid (mass flux in = mass flux out). Because a fluid is a continuous medium, there are different frames of reference to observe it properties, and this will affect how the continuity equation is calculated. In the Eulerian frame of reference, we focus on a fixed region of interest and allow the fluid to flow in and out and observe its properties. The only way to change…