TY - INPR A1 - Ulke, Alena A1 - Schuster, Michael A1 - Göttlich, Simone T1 - Steady State Blended Gas Flow on Networks: Existence and Uniqueness of Solutions N2 - We prove an existence result for the steady state flow of gas mixtures on networks. The basis of the model are the physical principles of the isothermal Euler equation, coupling conditions for the flow and pressure, and the mixing of incoming flow at nodes. The state equation is based on a convex combination of the ideal gas equations of state for natural gas and hydrogen. We analyze mathematical properties of the model allowing us to prove the existence of solutions in particular for tree-shaped networks and networks with exactly one cycle. Numerical examples illustrate the results and explore the applicability of our approach to different network topologies. KW - gas pipeline network KW - gas mixture KW - hydrogen blending KW - isothermal Euler equations KW - stationary states Y1 - 2024 VL - Netw. Heterog. Media ER -