== Abstract ==

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The motion of liquid filling a pipeline is impeded when the gas ahead of it cannot escape freely. Trapped gas will lead to a significant pressure build-up in front of the liquid column, which slows down the column and eventually bounces it back. This paper is an extension of previous work by the authors in the sense that the trapped gas can escape through a vent. Another addition is that the driving pressure is not kept constant but fluctuating. The obtained analytical and numerical solutions are utilized in parameter variation studies that give deeper insight in the system’s behavior.

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== Original document ==

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The different versions of the original document can be found in:

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* [http://pdfs.semanticscholar.org/8e7f/14526d78b7d1608ced2eb3ef6ea44cd35c21.pdf http://pdfs.semanticscholar.org/8e7f/14526d78b7d1608ced2eb3ef6ea44cd35c21.pdf]

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* [https://hdl.handle.net/11511/41368 https://hdl.handle.net/11511/41368]

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* [https://research.tue.nl/nl/publications/analytical-and-numerical-solution-for-a-rigid-liquidcolumn-moving-in-a-pipe-with-fluctuating-reservoirhead-and-venting-entrappedgas(7871c237-ba03-4891-ab5e-93c98ed426bb).html https://research.tue.nl/nl/publications/analytical-and-numerical-solution-for-a-rigid-liquidcolumn-moving-in-a-pipe-with-fluctuating-reservoirhead-and-venting-entrappedgas(7871c237-ba03-4891-ab5e-93c98ed426bb).html]

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* [https://research.tue.nl/nl/publications/analytical-and-numerical-solution-for-a-rigid-liquidcolumn-moving-in-a-pipe-with-fluctuating-reservoirhead-and-venting-entrappedgas(93a347fc-33fc-47dc-9308-9c0b495c0113).html https://research.tue.nl/nl/publications/analytical-and-numerical-solution-for-a-rigid-liquidcolumn-moving-in-a-pipe-with-fluctuating-reservoirhead-and-venting-entrappedgas(93a347fc-33fc-47dc-9308-9c0b495c0113).html]

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* [http://asmedigitalcollection.asme.org/PVP/proceedings-pdf/doi/10.1115/PVP2016-63193/2547116/v004t04a011-pvp2016-63193.pdf http://asmedigitalcollection.asme.org/PVP/proceedings-pdf/doi/10.1115/PVP2016-63193/2547116/v004t04a011-pvp2016-63193.pdf],

: [http://dx.doi.org/10.1115/pvp2016-63193 http://dx.doi.org/10.1115/pvp2016-63193]

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* [http://dx.doi.org/10.1115/pvp2016-63193 http://dx.doi.org/10.1115/pvp2016-63193],

: [http://www.scopus.com/inward/record.url?scp=85006323978&partnerID=8YFLogxK http://www.scopus.com/inward/record.url?scp=85006323978&partnerID=8YFLogxK]

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* [https://asmedigitalcollection.asme.org/PVP/proceedings/PVP2016/50404/V004T04A011/284785 https://asmedigitalcollection.asme.org/PVP/proceedings/PVP2016/50404/V004T04A011/284785],

: [https://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2590327 https://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2590327],

: [https://research.tue.nl/en/publications/analytical-and-numerical-solution-for-a-rigid-liquid-column-movin-2 https://research.tue.nl/en/publications/analytical-and-numerical-solution-for-a-rigid-liquid-column-movin-2],

: [https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F93a347fc-33fc-47dc-9308-9c0b495c0113 https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F93a347fc-33fc-47dc-9308-9c0b495c0113],

: [https://tue-staging.elsevierpure.com/en/publications/analytical-and-numerical-solution-for-a-rigid-liquid-column-movin-2 https://tue-staging.elsevierpure.com/en/publications/analytical-and-numerical-solution-for-a-rigid-liquid-column-movin-2],

: [https://asmedigitalcollection.asme.org/PVP/proceedings-pdf/PVP2016/50404/V004T04A011/2547116/v004t04a011-pvp2016-63193.pdf https://asmedigitalcollection.asme.org/PVP/proceedings-pdf/PVP2016/50404/V004T04A011/2547116/v004t04a011-pvp2016-63193.pdf],

: [https://academic.microsoft.com/#/detail/2558314342 https://academic.microsoft.com/#/detail/2558314342]

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