Pressure-Dependent Models in Ship Piping Systems

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RESEARCH ARTICLE

Pressure-Dependent Models in Ship Piping Systems Daniel Molina Pérez 1 & Lemuel C. Ramos-Arzola 2 & Amadelis Quesada Torres 2 Received: 8 May 2019 # The Author(s) 2020

Abstract This paper aims to evaluate the feasibility of pressure-dependent models in the design of ship piping systems. For this purpose, a complex ship piping system is designed to operate in firefighting and bilge services through jet pumps. The system is solved as pressure-dependent model by the piping system analysis software EPANET and by a mathematical approach involving a piping network model. This results in a functional system that guarantees the recommendable ranges of hydraulic state variables (flow and pressure) and compliance with the rules of ship classification societies. Through this research, the suitability and viability of pressure-dependent models in the simulation of a ship piping system are proven. Keywords Pressure-dependent models . Ship piping systems . Bilge systems . Firefighting systems . Piping network models

1 Introduction Ship piping systems (SPSs) are piping networks that intervene in most of a vessel’s functions and might represent an important part of the cost and total weight of a vessel (Taylor 1996; Eyres and Bruce 2012; Asmara 2013). The design and production of these systems is considered by some specialists as one of the most complex tasks in shipbuilding (Cassee 1992; Li et al. 2010). In the design phase of SPSs, predicting the distribution of flows and pressures in the network is often necessary and is achieved by solving a nonlinear equation system that constitutes the piping network model. In demand-dependent models, pre-establishing the demand of the piping system (inflow or outflow) is necessary (Todini Article Highlights • Pressure-dependent models avoid the design of ship piping systems by means of arbitrary, intuitive, or conservative rules. • The relationships between pressure and flows in the emitting nodes are established, rather than predefining the demand of the system. • In contrast to water distribution systems, in the naval sphere, the emitting components are usually known; therefore, pressure-dependent models are very viable. * Daniel Molina Pérez [email protected] 1

Departamento de Manufactura, ESIME Unidad Azcapotzalco, Instituto Politécnico Nacional, DF 02250 México City, Mexico

2

Departamento de Termofluidos, ESIME Unidad Azcapotzalco, Instituto Politécnico Nacional, DF 02250 México City, Mexico

2003; Elhay et al. 2015). This procedure can lead to mathematically correct solutions; however, the demand actually leaves the system through orifices, and flow is therefore determined by orifice opening (emitting node) and pressure (Walski et al. 2017). This fact has led to the development and increasing application of pressure-dependent models (PDMs), in which a relationship between the demand and pressure at the emitting nodes is established (Elhay et al. 2015). The most common flow-pressure relationship is based on the discharge of the flow through an orifice