On the Existence of Unique Steady-State Solutions to the Equations Governing Fluid Flow in Networks

For any fluid whose equation of state is a scaled monomial, such as the ideal gas, a unique generalized potential-solution exists for the steady-state fluid flow equations in pipeline networks. For non-ideal gases following the CNGA equation of state, while the existence of a generalized pressure-solution remains open, an alternative system is constructed that always has a unique solution, and this solution is a good approximation of the true solution.