Abstract
In the article, which continues the research of article [1], the results of previous article are generalized to “abstract” hydraulic networks. Additional existence theorems are proved for classical flow distribution problem (CFDP) for hydraulic networks with pressure-dependent closure relations, under restriction on nodal pressures. Hydraulic network Maxwell matrix properties are establish, related to monotonicity of CFDP solution.
Highlights
Suppose that AHN is continuous, balanced, ODA and VQ ⊂ RS−t1rict(VP)
Let AHN be continuous, balanced, ODA, passive and VQ ⊂ RS−t1rict(VP), and there is CFDP with Qfix = 0 and Pfix ∈ ΩNP
We will return to “usual” hydraulic network
Summary
Suppose that AHN is continuous, balanced, ODA and VQ ⊂ RS−t1rict(VP). 1. Theorem 1А (Uniqueness of CFDP solution for AHN) If AHN is balanced, ODA и VQ ⊂ RS−t1rict(VP), CFDP solution is unique. Theorem 2A (Monotonicity of CFDP solution for AHN)
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