Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations

Leonid Korelstein, N.N. Novitsky, B. Serttter, V.R. Chupin, E. Khaltar, L.B. Korelstein, S.A. Miedema, M. Negnevitsky, C. Sarica, F.H. Mirelli, V.A. Stennikov, M.G. Sukharev (+2 others)
2019 E3S Web of Conferences  
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved. The closure relation can have very general form, restricted only by continuity and monotonicity conditions necessary for providing existence, uniqueness and continuity of flow distribution problem for each branch. It is shown that network as a whole "inherits" monotonicity and continuity of its branches behavior, and this provides existence and uniqueness of solution.
doi:10.1051/e3sconf/201910201004 fatcat:aripx3h2avdmlnkhc337o3tpnu