The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline
Sinusoidal oscillating water flow at low pressure can improve the anti-clogging ability of an emitter in drip irrigation or the water distribution of a nozzle in sprinkler irrigation and reduce the cost and energy consumption of the irrigation system. In this study, the characteristics of instantane...
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doaj-af1f3a12bf0646b6adf85ca65a6f6fbb2020-11-24T21:34:29ZengMDPI AGWater2073-44412019-07-01118158310.3390/w11081583w11081583The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a PipelineKai Zhang0Bo Song1Delan Zhu2Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F University, Yangling 712100, ChinaKey Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F University, Yangling 712100, ChinaKey Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F University, Yangling 712100, ChinaSinusoidal oscillating water flow at low pressure can improve the anti-clogging ability of an emitter in drip irrigation or the water distribution of a nozzle in sprinkler irrigation and reduce the cost and energy consumption of the irrigation system. In this study, the characteristics of instantaneous pressure head attenuation of oscillating water flow along a pipeline have been investigated. By using a complex function to solve the continuity equation and the momentum equation of a pipeline with water hammer motion and using the Darcy−Weisbach formula to estimate the head loss, a calculation model for the instantaneous pressure head of oscillating water flow along a pipeline was developed. The measured value of the amplitude of the pressure head and the average instantaneous pressure head in the experiments have been used to verify the corresponding pressure head calculated by the model. The results show that the amplitude of the pressure head and the average instantaneous pressure head decrease linearly along the pipeline. The calculated value of the amplitude of the pressure head and the average instantaneous pressure head are basically close to the corresponding measured pressure head. From the results of all the tests, the maximum relative error of the calculated and measured value of the amplitude of the pressure head along the pipeline was 9.44%. The maximum relative error of the calculated and measured value of the average instantaneous pressure head along the pipeline was 8.37%. Hence, the model can accurately predict the instantaneous pressure head of oscillating water flow along a pipe and provide a theoretical basis for the application of oscillating water flow in irrigation systems and the design of irrigation pipe networks.https://www.mdpi.com/2073-4441/11/8/1583sinusoidal oscillating water flowcalculation modelinstantaneous pressure headpipeline |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kai Zhang Bo Song Delan Zhu |
spellingShingle |
Kai Zhang Bo Song Delan Zhu The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline Water sinusoidal oscillating water flow calculation model instantaneous pressure head pipeline |
author_facet |
Kai Zhang Bo Song Delan Zhu |
author_sort |
Kai Zhang |
title |
The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline |
title_short |
The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline |
title_full |
The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline |
title_fullStr |
The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline |
title_full_unstemmed |
The Development of a Calculation Model for the Instantaneous Pressure Head of Oscillating Water Flow in a Pipeline |
title_sort |
development of a calculation model for the instantaneous pressure head of oscillating water flow in a pipeline |
publisher |
MDPI AG |
series |
Water |
issn |
2073-4441 |
publishDate |
2019-07-01 |
description |
Sinusoidal oscillating water flow at low pressure can improve the anti-clogging ability of an emitter in drip irrigation or the water distribution of a nozzle in sprinkler irrigation and reduce the cost and energy consumption of the irrigation system. In this study, the characteristics of instantaneous pressure head attenuation of oscillating water flow along a pipeline have been investigated. By using a complex function to solve the continuity equation and the momentum equation of a pipeline with water hammer motion and using the Darcy−Weisbach formula to estimate the head loss, a calculation model for the instantaneous pressure head of oscillating water flow along a pipeline was developed. The measured value of the amplitude of the pressure head and the average instantaneous pressure head in the experiments have been used to verify the corresponding pressure head calculated by the model. The results show that the amplitude of the pressure head and the average instantaneous pressure head decrease linearly along the pipeline. The calculated value of the amplitude of the pressure head and the average instantaneous pressure head are basically close to the corresponding measured pressure head. From the results of all the tests, the maximum relative error of the calculated and measured value of the amplitude of the pressure head along the pipeline was 9.44%. The maximum relative error of the calculated and measured value of the average instantaneous pressure head along the pipeline was 8.37%. Hence, the model can accurately predict the instantaneous pressure head of oscillating water flow along a pipe and provide a theoretical basis for the application of oscillating water flow in irrigation systems and the design of irrigation pipe networks. |
topic |
sinusoidal oscillating water flow calculation model instantaneous pressure head pipeline |
url |
https://www.mdpi.com/2073-4441/11/8/1583 |
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