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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Main Author: Kamil Urbanowicz
Format: Article
Language:English
Published: Military University of Technology, Warsaw 2015-09-01
Series:Biuletyn Wojskowej Akademii Technicznej
Subjects:
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
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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