Development of Models for the Mathematical Description of Convective Flows by Means of Bond Graphs

Introduction

The volume flows are usually coupled in convective flows with the mass flows through the equation of state. Therefore, it wouldn't be necessary to keep track of the volume flows separately from the mass flows. However, this observation is no longer true, as soon as chemical reaction systems are being considered as well. For this reason, we decided from the beginning to carry three parallel branches, one describing the entropy flow, the second modeling the volume flow, and the third capturing the mass flow.

For a uniform representation of convective flows, special thermo-bond graphs were developed that consist of three parallel branches of ordinary bond graphs [5]. By means of these new thermo-bond graphs, we first modeled the convective flows of pure substances in a homogenous medium [1]. We then modeled multi-phase systems [2]. Subsequently, we looked at the processes of mixing multiple substances [3]. Finally, we also modeled chemical reaction systems. However, the latter are described only in Jürgen Greifeneder's diploma project up until now [4]. The accompanying article has not yet been submitted for publication. Unfortunately, Jürgen's diploma project is only available in German.

Jürgen's student exchange visit with the University of Arizona has been supported by Programm E3 of the European Union.

Most Important Publications

1. Greifeneder, J. and F.E. Cellier (2001), Modeling Convective Flows Using Bond Graphs, Proc. ICBGM’01, 5^th SCS Intl. Conf. on Bond Graph Modeling and Simulation, Phoenix, Arizona, pp. 276-284.

2. Greifeneder, J. and F.E. Cellier (2001), Modeling Multi-Phase Systems Using Bond Graphs, Proc. ICBGM’01, 5^th SCS Intl. Conf. on Bond Graph Modeling and Simulation, Phoenix, Arizona, pp. 285-291.

3. Greifeneder, J. and F.E. Cellier (2001), Modeling Multi-element Systems Using Bond Graphs, Proc. ESS'01, 13^th European Simulation Symposium, Marseille, France, pp. 758-766.

4. Greifeneder, J. (2001), Modellierung thermodynamischer Phänomene mittels Bondgraphen, Diploma project, Institut für Systemdynamik und Regelungstechnik, Universität Stuttgart, Stuttgart, Germany.

5. Cellier, F.E. and J. Greifeneder (2003), Object-oriented Modeling of Convective Flows Using the Dymola Thermo-bond-graph Library, Proc. ICBGM’03, 6^th SCS Intl. Conf. on Bond Graph Modeling and Simulation, Orlando, Florida, pp. 198-204.

Sponsors

• European Union

Deutsche Version
Homepage