INTEGRAL METHODS FOR DESCRIBING PULSATILE FLOW

Authors

  • David Hromadka Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic
  • Hynek Chlup Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic
  • Rudolf Žitný Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic

DOI:

https://doi.org/10.14311/AP.2016.56.0099

Abstract

This paper presents an approximate solution of the pulsatile flow of a Newtonian fluid in the laminar flow regime in a rigid tube of constant diameter. The model is represented by two ordinary differential equations. The first equation describes the time evolution of the total flow rate, and the
second equation characterizes the reverse flow near the wall. These equations are derived from the momentum balance equation and from the kinetic energy equation, respectively. The accuracy of the derived equations is compared with a solution in which the finite difference method is applied to a partial differential equation.

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Author Biographies

  • David Hromadka, Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic

    Faculty of Mechanical Engineering, Department of Mechanics Biomechanics and Mechatronics 

  • Hynek Chlup, Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic
    Faculty of Mechanical Engineering, Department of Mechanics Biomechanics and Mechatronics
  • Rudolf Žitný, Czech Technical University in Prague, Technická 4 - Praha 6, 166 07, Czech Republic
    Faculty of Mechanical Engineering, Department of Process engineering

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Published

2016-04-30

Issue

Vol. 56 No. 2 (2016)

Section

Articles

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How to Cite

Hromadka, D., Chlup, H., & Žitný, R. (2016). INTEGRAL METHODS FOR DESCRIBING PULSATILE FLOW. Acta Polytechnica, 56(2), 99-105. https://doi.org/10.14311/AP.2016.56.0099