I'm modeling fluid systems and want to use conservation of mass (aka 'continuity') and conservation of energy as constraints to help solve for certain system parameters. But it occurred to me that the two constraints may not be independent and may make parameter identification difficult.
Are the two constraints always independent? If not does independence depend on the structure of the system?
My thoughts, fluid systems are almost always nonlinear. And if I'm not mistaken nonlinearity often invokes dependence.