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Simulating Distributed-Parameter Multiphase Thermodynamic Systems Using Bond Graphs

[+] Author Affiliations
Forbes T. Brown

Lehigh University, Bethlehem, PA

Paper No. IMECE2002-39291, pp. 545-553; 9 pages
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-3629-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME


The use of convection bond graphs with temperature, mass and volume as state variables allows the associated thermodynamic properties of a wide variety of single and multi-phase fluids to be found accurately without iteration, using available formulas. As a result, non-experts can simulate efficiently unsteady systems with compressible flow and heat transfer, as long as the system is modeled with discrete compartments. This paper addresses the discretization of a heat exchanger under changing phase conditions into a finite element model, assuming no slip between phases in thermodynamic equilibrium and neglecting coherent kinetic energy. The staggered grid approach used in conventional numerical analyses for flowing systems is accommodated naturally. Partial upwinding is used to control numerically induced oscillations. The wall shear and the heat transfer are keyed to standard models for laminar and turbulent flow in single-phase and two-phase regimes. A condenser of a refrigeration cycle is given to illustrate the procedure and its results.

Copyright © 2002 by ASME



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