Simulation of Transient Flow in Micro-hydraulic Pipe System

Kamil Urbanowicz, Michał Stosiak, Krzysztof Towarnicki, Huan Feng Duan, Anton Bergant

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

1 Citation (Scopus)


This paper presents the modelling and simulation of transient flow in micro-hydraulic pipe systems. Liquid stream energy dissipation occurs mainly as a result of friction losses. Theoretical considerations of water hammer resulting from rapid valve closing, supported by experimental verification, were undertaken. The experimental system incorporated a straight two-meters long section of a steel pipe with an internal diameter of 4·10−3 m. An attempt was made to determine the degree of conformity of the transient flow model (previously verified in conventional pipes) to the experimental results obtained for small-internal-diameter pipes. Shear stress on the pipe wall was modelled using first a simplified quasi-steady approach and then an effective modified unsteady friction model. The pressure waveforms at the valve (at the downstream end of the pipe) were obtained for initial flow velocity, v01 = 2.39 m/s and v02 = 1.14 m/s, respectively. Experimental studies were carried out in the region of laminar flows with Reynolds numbers below 100.

Original languageEnglish
Title of host publicationAdvances in Hydraulic and Pneumatic Drives and Control, NSHP 2020
EditorsJaroslaw Stryczek, Urszula Warzynska
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages11
ISBN (Print)9783030595081
Publication statusE-pub ahead of print - Oct 2020
EventInternational Scientific-Technical Conference on Hydraulic and Pneumatic Drives and Controls, NSHP 2020 - Trzebieszowice, Poland
Duration: 21 Oct 202023 Oct 2020

Publication series

NameLecture Notes in Mechanical Engineering
ISSN (Print)2195-4356
ISSN (Electronic)2195-4364


ConferenceInternational Scientific-Technical Conference on Hydraulic and Pneumatic Drives and Controls, NSHP 2020


  • Laboratory apparatus
  • Method of characteristics
  • Micro-hydraulic pipe
  • Modelling
  • Unsteady friction
  • Wall shear stress
  • Water hammer

ASJC Scopus subject areas

  • Automotive Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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