Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models
The paper presents four key mathematical models of transient cavitating pipe flow, i.e. column separation model ([i]Column Separation Model[/i] — CSM), gas cavitation model ([i]Gas Column Separation Model[/i] — CSMG), Adamkowski model (Adamkowski’s Column Separation Model — CSM) and bubbly cavitatio...
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Format: | Article |
Language: | English |
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Military University of Technology, Warsaw
2015-09-01
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Series: | Biuletyn Wojskowej Akademii Technicznej |
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Online Access: | http://biuletynwat.pl/icid/1168704 |
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author | Kamil Urbanowicz |
author_facet | Kamil Urbanowicz |
author_sort | Kamil Urbanowicz |
collection | DOAJ |
description | The paper presents four key mathematical models of transient cavitating pipe flow, i.e. column separation model ([i]Column Separation Model[/i] — CSM), gas cavitation model ([i]Gas Column Separation Model[/i] — CSMG), Adamkowski model (Adamkowski’s Column Separation Model — CSM) and bubbly cavitation model (Bubble Cavitation Model — BCM). In the all investigated models, frequency-dependent frictional losses were taken into account. The equations describing all models have been solved using the method of characteristics. In this work, the wall shear stress (defined as an effect of unsteady fluid friction) is presented as a sum of quasi-steady and unsteady components. The unsteady component of the wall shear stress is modelled as an convolution of local fluid acceleration and a weighting function[i] w(t)[/i].[b]Keywords[/b]: numerical fluid mechanics, transient flow, cavitation, frequency-dependent friction losses, pipeline, waterhammer |
first_indexed | 2024-03-12T09:12:22Z |
format | Article |
id | doaj.art-ed701b8f9bd34252a4953162e5937f24 |
institution | Directory Open Access Journal |
issn | 1234-5865 |
language | English |
last_indexed | 2024-03-12T09:12:22Z |
publishDate | 2015-09-01 |
publisher | Military University of Technology, Warsaw |
record_format | Article |
series | Biuletyn Wojskowej Akademii Technicznej |
spelling | doaj.art-ed701b8f9bd34252a4953162e5937f242023-09-02T14:57:59ZengMilitary University of Technology, WarsawBiuletyn Wojskowej Akademii Technicznej1234-58652015-09-01643497310.5604/12345865.11687041168704Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation modelsKamil Urbanowicz0Zachodniopomorski Uniwersytet Technologiczny w Szczecinie, Katedra Mechaniki i Podstaw Konstrukcji Maszyn, 70-310 Szczecin, Al. Piastów 19The paper presents four key mathematical models of transient cavitating pipe flow, i.e. column separation model ([i]Column Separation Model[/i] — CSM), gas cavitation model ([i]Gas Column Separation Model[/i] — CSMG), Adamkowski model (Adamkowski’s Column Separation Model — CSM) and bubbly cavitation model (Bubble Cavitation Model — BCM). In the all investigated models, frequency-dependent frictional losses were taken into account. The equations describing all models have been solved using the method of characteristics. In this work, the wall shear stress (defined as an effect of unsteady fluid friction) is presented as a sum of quasi-steady and unsteady components. The unsteady component of the wall shear stress is modelled as an convolution of local fluid acceleration and a weighting function[i] w(t)[/i].[b]Keywords[/b]: numerical fluid mechanics, transient flow, cavitation, frequency-dependent friction losses, pipeline, waterhammerhttp://biuletynwat.pl/icid/1168704numerical fluid mechanicstransient flowcavitationfrequency-dependent friction lossespipelinewaterhammer |
spellingShingle | Kamil Urbanowicz Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models Biuletyn Wojskowej Akademii Technicznej numerical fluid mechanics transient flow cavitation frequency-dependent friction losses pipeline waterhammer |
title | Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models |
title_full | Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models |
title_fullStr | Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models |
title_full_unstemmed | Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models |
title_short | Modelling transient pipe flow with cavitation and frequency dependent friction. Part I. Cavitation models |
title_sort | modelling transient pipe flow with cavitation and frequency dependent friction part i cavitation models |
topic | numerical fluid mechanics transient flow cavitation frequency-dependent friction losses pipeline waterhammer |
url | http://biuletynwat.pl/icid/1168704 |
work_keys_str_mv | AT kamilurbanowicz modellingtransientpipeflowwithcavitationandfrequencydependentfrictionparticavitationmodels |