🧄Total Mass Flux Through Cylindrical Surfaces

To accurately calculate and interpret mass flux, converting the velocity field to the appropriate coordinate system (e.g., cylindrical) is crucial, especially when dealing with surfaces defined in that system. The mass flux value itself then provides a quantitative measure of the net rate of mass flow across a surface, with a positive flux indicating outflow, negative indicating inflow, and zero signifying flow along the surface rather than through it.

🎬compute the mass flux of the fluid through three surfaces

The mass flux is a quantitative measure of how much fluid is passing through a given surface per unit of time. It directly translates the abstract mathematical concept of a surface integral into a tangible physical quantity. A non-zero mass flux indicates a net flow of mass, while a zero flux indicates that the fluid is flowing along the surface, but not through it.

compute the mass flux of the fluid through three surfaces

🖊️Mathematical Proof

Total Mass Flux Through Cylindrical Surfaces | Proof and Derivationviadean on Notion