Abstract
In this paper, we introduce the Laplace-space approach to a linearized two-phase flow model governed by a set of hyperbolic-like partial differential equations (PDEs). Compared to the discretization approaches to PDEs, which result in a large number of ordinary differential equations (ODEs), the Laplace-space approach gives a set of functional relationships that describe the two-phase flow behavior with respect to space. The key element in our work is the Laplace space representation of the two-phase flow model that connects the two-phase flow regimes and causal input/output structures. The causal input/output structures need to be determined in order to design a boundary controller that can regulate the flow. The main advantage of the Laplace-space approach to the two phase flow and effectiveness of the proposed boundary control design are illustrated on a numerical example of a counter current two-phase flow in a vertical bubble column.
| Original language | English |
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| Title of host publication | Proceedings of the 2011 American Control Conference (ACC 2011), 29 June - 01 July 2011, San Francisco |
| Place of Publication | United States, Minneapolis |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 3283-3288 |
| Publication status | Published - 2011 |
| Event | 2011 American Control Conference (ACC 2011), June 29 - July 1, 2011, San Francisco, CA, USA - San Francisco Hilton on O'Farrell Street, San Francisco, CA, United States Duration: 29 Jun 2011 → 1 Jul 2011 http://acc2011.a2c2.org/index.php?r=1&page=Greetings&w=1680&b=0 |
Conference
| Conference | 2011 American Control Conference (ACC 2011), June 29 - July 1, 2011, San Francisco, CA, USA |
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| Abbreviated title | ACC 2011 |
| Country/Territory | United States |
| City | San Francisco, CA |
| Period | 29/06/11 → 1/07/11 |
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