FINITE ELEMENT ANALYSIS OF 3D VISCID PERIODIC WAVE PROPAGATION IN HYDRAULIC SYSTEMS

Authors

  • Rudolf Scheidl Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria
  • Bernhard Manhartsgruber Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria
  • Mohamed Ez El Din Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria

Keywords:

3D viscid wave propagation, finite element analysis, singular perturbation, boundary layer theory

Abstract

A very compact description of viscid wave propagation in straight transmission lines with a circular cross section in frequency domain by a transcendental transfer matrix is known since several decades. The corresponding research results show that fluid friction is limited to small dynamic boundary layers whereas the remaining fluid domain exhibits practically no friction effect and has bulk flow characteristics. An explanation how this boundary layer transfers its dissipative effect to the bulk flow has been given by Gittler et al. using asymptotic expansion techniques. They found that the effect of the boundary layer on the bulk flow in the centre is given by radial velocity components. The authors have shown that the findings of Gittler et al. are generally valid in the 3D case exploiting matched asymptotic expansions. In this paper these results are developed further to exploit this dynamical boundary layer theory for an efficient Finite Element (FE) computation of viscid waves. Standard acoustic elements without viscosity as available in many FE codes combined with frequency dependent acoustic boundary conditions can be used to simulate 3D viscid wave propagation in frequency domain. Comparison with the analytical transmission line theory shows the validity and wide applicability of this approach. It is much more efficient than a direct resolution of the viscid boundary layer by a fine FE grid.

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Author Biographies

Rudolf Scheidl, Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria

Rudolf Scheidl Dipl.-Ing., Dr., Professor of Mechanical Engineering at Mechatronics Department of Johannes Kepler University Linz. Head of the Institute of Machine Design and Hydraulic Drives. Masters and doctoral degree from Vienna University of Technology. R&D positions in agricultural, steel and paper production machine building industry. Main research interests in fast hydraulic processes, hydraulic switching control, and mechatronic design.

Bernhard Manhartsgruber, Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria

Bernhard Manhartsgruber Dipl.-Ing., Dr., Associated Professor at the Institute of Machine Design and Hydraulic Drives, Johannes Kepler University, Linz, Austria. Masters and doctoral degree from Johannes Kepler University. Habilitation for Machine Design and Hydraulic Drives in 2005. Main research interests in modelling and simulation of fluid power systems, especially with wave propagation in fast hydraulic systems.

Mohamed Ez El Din, Johannes Kepler University Linz, Institute of Machine Design and Hydraulic Drives, Altenbergerstr. 69, 4040 Linz, Austria

Mohamed Ez El Din BSc and MSc in Automotive and Tractors Engineering, Helwan Universtiy, Cairo, Egypt. His current PhD thesis on modelling and simulation of hydraulic accumulator and compensator technologies at Johannes Kepler University Linz are sponsored by a scholars

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Published

2009-11-01

How to Cite

Scheidl, R., Manhartsgruber, B., & Din, M. E. E. (2009). FINITE ELEMENT ANALYSIS OF 3D VISCID PERIODIC WAVE PROPAGATION IN HYDRAULIC SYSTEMS. International Journal of Fluid Power, 10(1), 47–57. Retrieved from https://journals.riverpublishers.com/index.php/IJFP/article/view/507

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