A modified nodal pressure method for calculation of the flow distribution in hydraulic circuits for the case of unconventional closing relations

2015 ◽  
Vol 218 (2) ◽  
pp. 30-42
Author(s):  
E.M. Mikhailovsky ◽  
N.N. Novitsky
Keyword(s):  
Flow Distribution ◽  
Pressure Method ◽  
Closing Relations ◽  
Nodal Pressure ◽  
Hydraulic Circuits

scholarly journals Generalization of Methods for Calculating Steady-State Flow Distribution in Pipeline Networks for Non-Conventional Flow Models

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 796
Author(s):  
Nikolay Novitsky ◽  
Egor Mikhailovsky
Keyword(s):  
Steady State ◽  
Flow Rate ◽  
Flow Distribution ◽  
Steady State Flow ◽  
Specific Element ◽  
Flow Models ◽  
State Flow ◽  
Pipeline Networks ◽  
Uniqueness Of A Solution ◽  
Nodal Pressure

This paper proposes generalized models and methods for calculating flow distribution in hydraulic circuits with lumped parameters. The main models of the isothermal steady-state flow of medium are classified by an element of the hydraulic circuit. These models include conventional, implicitly specified by flow rate, and pressure-dependent ones. The conditions for their applicability, which ensure the existence and uniqueness of a solution to the flow distribution problem, are considered. We propose generalized nodal pressure and loop flow rate methods, which can be applied regardless of the forms of specific element models. Final algorithms, which require lower computational costs versus the known approaches designed for non-conventional flow models, are substantiated. Proposed models, methods, algorithms, and their capabilities, are analytically and numerically illustrated by an example of a fragment of gas transmission network with compressor stations.

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