In this paper, we present a well-posed two-point boundary value problem framework for computing, via continuation, the steady states of interconnected vapor compression systems. We illustrate the ease and utility of our approach by employing the path following software AUTO to compute steady solutions of an experimental air-to-water heat pump that uses as a refrigerant. We validate some of the computational solutions against the experimental data and carry out continuation and bifurcation analysis in external parameters of practical interest. The results of these computations show that multiple and qualitatively distinct distributed steady-state solutions can arise for the problem, and that our approach provides for a simpler alternative to the much harder problem of dynamic simulation.
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e-mail: mehtapg@uiuc.edu
e-mail: bryane@engineering.ucsb.edu
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April 2007
Research Papers
Computational Modeling and Analysis of Multiple Steady States in Vapor Compression Systems
Prashant G. Mehta,
Prashant G. Mehta
Department of Mechanical Science & Engineering,
e-mail: mehtapg@uiuc.edu
University of Illinois
, Urbana Champaign, IL 61801
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Bryan A. Eisenhower
Bryan A. Eisenhower
Department of Mechanical Engineering,
e-mail: bryane@engineering.ucsb.edu
University of California
, Santa Barbara, CA 93106
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Prashant G. Mehta
Department of Mechanical Science & Engineering,
University of Illinois
, Urbana Champaign, IL 61801e-mail: mehtapg@uiuc.edu
Bryan A. Eisenhower
Department of Mechanical Engineering,
University of California
, Santa Barbara, CA 93106e-mail: bryane@engineering.ucsb.edu
J. Comput. Nonlinear Dynam. Apr 2007, 2(2): 132-140 (9 pages)
Published Online: November 28, 2006
Article history
Received:
May 11, 2006
Revised:
November 28, 2006
Citation
Mehta, P. G., and Eisenhower, B. A. (November 28, 2006). "Computational Modeling and Analysis of Multiple Steady States in Vapor Compression Systems." ASME. J. Comput. Nonlinear Dynam. April 2007; 2(2): 132–140. https://doi.org/10.1115/1.2447237
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