Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations

Air pockets can become trapped at high points in pipelines with irregular profiles, particularly during service interruptions. The resulting issues, primarily caused by peak pressures generated during pipeline filling, are a well-documented topic in the literature. However, it is surprising that thi...

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Main Authors: Vicente S. Fuertes-Miquel, Oscar E. Coronado-Hernández, Francisco J. Sánchez-Romero, Manuel Saba, Modesto Pérez-Sánchez
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/2/267
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author Vicente S. Fuertes-Miquel
Oscar E. Coronado-Hernández
Francisco J. Sánchez-Romero
Manuel Saba
Modesto Pérez-Sánchez
author_facet Vicente S. Fuertes-Miquel
Oscar E. Coronado-Hernández
Francisco J. Sánchez-Romero
Manuel Saba
Modesto Pérez-Sánchez
author_sort Vicente S. Fuertes-Miquel
collection DOAJ
description Air pockets can become trapped at high points in pipelines with irregular profiles, particularly during service interruptions. The resulting issues, primarily caused by peak pressures generated during pipeline filling, are a well-documented topic in the literature. However, it is surprising that this subject has not received comprehensive attention. Using a model developed by the authors, this paper identifies the key parameters that define the phenomenon, presenting equations in a dimensionless format. The main advantage of this study lies in the ability to easily compute pressure surges without the need to solve a complex system of differential and algebraic equations. Numerous cases of filling operations were analysed to obtain dimensionless charts that can be used by water utilities to compute pressure surges during filling operations. Additionally, it provides charts that facilitate the rapid and reasonably accurate estimation of peak pressures. Depending on their transient characteristics, pressure peaks are either slow or fast, with separate charts provided for each type. A practical application involving a water pipeline with an irregular profile demonstrates the model’s effectiveness, showing strong agreement between calculated and chart-predicted (proposed methodology) values. This research provides water utilities with the ability to select the appropriate pipe’s resistance class required for water distribution systems by calculating the pressure peak value that may occur during filling procedures.
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series Mathematics
spelling doaj-art-6da26be7ee574d8b84d9aa1d501677c72025-01-24T13:39:58ZengMDPI AGMathematics2227-73902025-01-0113226710.3390/math13020267Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless EquationsVicente S. Fuertes-Miquel0Oscar E. Coronado-Hernández1Francisco J. Sánchez-Romero2Manuel Saba3Modesto Pérez-Sánchez4Departamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, 46022 Valencia, SpainInstituto de Hidráulica y Saneamiento Ambiental, Universidad de Cartagena, Cartagena de Indias 130001, ColombiaDepartamento de Ingeniería Rural y Agroalimentaria, Universitat Politècnica de València, 46022 Valencia, SpainPrograma de Ingeniería Civil, Universidad de Cartagena, Cartagena de Indias 130001, ColombiaDepartamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, 46022 Valencia, SpainAir pockets can become trapped at high points in pipelines with irregular profiles, particularly during service interruptions. The resulting issues, primarily caused by peak pressures generated during pipeline filling, are a well-documented topic in the literature. However, it is surprising that this subject has not received comprehensive attention. Using a model developed by the authors, this paper identifies the key parameters that define the phenomenon, presenting equations in a dimensionless format. The main advantage of this study lies in the ability to easily compute pressure surges without the need to solve a complex system of differential and algebraic equations. Numerous cases of filling operations were analysed to obtain dimensionless charts that can be used by water utilities to compute pressure surges during filling operations. Additionally, it provides charts that facilitate the rapid and reasonably accurate estimation of peak pressures. Depending on their transient characteristics, pressure peaks are either slow or fast, with separate charts provided for each type. A practical application involving a water pipeline with an irregular profile demonstrates the model’s effectiveness, showing strong agreement between calculated and chart-predicted (proposed methodology) values. This research provides water utilities with the ability to select the appropriate pipe’s resistance class required for water distribution systems by calculating the pressure peak value that may occur during filling procedures.https://www.mdpi.com/2227-7390/13/2/267entrapped air pocketsdimensionless equationsfilling operationshydraulic installationpressure peaks
spellingShingle Vicente S. Fuertes-Miquel
Oscar E. Coronado-Hernández
Francisco J. Sánchez-Romero
Manuel Saba
Modesto Pérez-Sánchez
Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
Mathematics
entrapped air pockets
dimensionless equations
filling operations
hydraulic installation
pressure peaks
title Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
title_full Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
title_fullStr Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
title_full_unstemmed Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
title_short Assessing Air-Pocket Pressure Peaks During Water Filling Operations Using Dimensionless Equations
title_sort assessing air pocket pressure peaks during water filling operations using dimensionless equations
topic entrapped air pockets
dimensionless equations
filling operations
hydraulic installation
pressure peaks
url https://www.mdpi.com/2227-7390/13/2/267
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AT manuelsaba assessingairpocketpressurepeaksduringwaterfillingoperationsusingdimensionlessequations
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