About: Approximation solution of 0D pulsatile flow within the capillary

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://stc.fs.cvut.cz/pdf14/4546.pdf
Description	This paper deals with weak solution of the momentum balance equations. Different shapes of velocity profile are taken into account for description of pulsatile flow. The flow is assumed incompressible within the rigid capillary tube with constant diameter. The results of approximated solution of flow are compared with exact solution for various Womersley numbers. The same analysis was performed for a different type of weight functions and weighted residual methods. The assumption of Hagen-Pouseuille velocity profile cause error of flow rate in tens of per cent in the range of Womersley numbers 1-12 while the error of flow rate computed from fourth order polynomial velocity profile is only a few percents. The analysis proved that the integration of the residual and weight over the cross-section of pipe provides results of flow rate closer to the exact solution then the integration over radius. The integration over the area set the importance on wall function and back flow rate near the wall. It was revealed that the Galerkin method is the appropriate method for formulation of the weak solution of the pulsatile flow then the least square method and expert estimation of weighted function. This paper deals with weak solution of the momentum balance equations. Different shapes of velocity profile are taken into account for description of pulsatile flow. The flow is assumed incompressible within the rigid capillary tube with constant diameter. The results of approximated solution of flow are compared with exact solution for various Womersley numbers. The same analysis was performed for a different type of weight functions and weighted residual methods. The assumption of Hagen-Pouseuille velocity profile cause error of flow rate in tens of per cent in the range of Womersley numbers 1-12 while the error of flow rate computed from fourth order polynomial velocity profile is only a few percents. The analysis proved that the integration of the residual and weight over the cross-section of pipe provides results of flow rate closer to the exact solution then the integration over radius. The integration over the area set the importance on wall function and back flow rate near the wall. It was revealed that the Galerkin method is the appropriate method for formulation of the weak solution of the pulsatile flow then the least square method and expert estimation of weighted function. (en)
Title	Approximation solution of 0D pulsatile flow within the capillary Approximation solution of 0D pulsatile flow within the capillary (en)
skos:prefLabel	Approximation solution of 0D pulsatile flow within the capillary Approximation solution of 0D pulsatile flow within the capillary (en)
skos:notation	RIV/68407700:21220/14:00223896!RIV15-MSM-21220___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Hromádka, David Žitný, Rudolf
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta strojní
http://linked.open...dnocenehoVysledku	3939
http://linked.open...ai/riv/idVysledku	RIV/68407700:21220/14:00223896
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	pulsatile flow; galerkin method; least square method; weight expert estimation method (en)
http://linked.open.../riv/klicoveSlovo	least square method pulsatile flow galerkin method weight expert estimation method
http://linked.open...ontrolniKodProRIV	[5D791498F135]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Studentská tvůrčí činnost 2014
http://linked.open...in/vavai/riv/obor	JR
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Hromádka, David Žitný, Rudolf
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2014-04-08 (xsd:date)
number of pages	7 (xsd:int)
http://purl.org/ne...btex#hasPublisher	České vysoké učení technické v Praze. Fakulta strojní
https://schema.org/isbn	978-80-01-05484-0
http://localhost/t...ganizacniJednotka	21220

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