Stability analysis of heat exchanger dynamics

Tiejun Zhang, John T. Wen, Juan Catano, Rongliang Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations


In the study of vapor compression cycle, momentum balance equation is often ignored in the heat exchanger model. In this paper, we investigate the effect of the momentum balance through a systematic study of the open loop stability of a heat exchanger. We consider 1-D fluid flow in a pipe in four cases of increasing complexity the most general case corresponds to the heat exchanger model: 1. incompressible flow without heat transfer; 2. incompressible flow with heat transfer; 3. compressible flow without heat transfer; 4. compressible flow with heat transfer. Among the three balance equations, mass, momentum, and energy, case 1 involves only the momentum, case 2 involves both momentum and energy, case 3 involves mass and momentum, and case 4 requires all three equations. It is shown that in cases 1, which corresponding to the incompressible flow without heat input, the system is lumped and always stable, and in cases 2, 3 and 4, the system is stable if and only if the equilibrium flow velocity is sufficiently high. Finite difference approximation and linearization of the dynamic models are used for local stability evaluation in case 3 and 4. The overall cycle analysis as well as a simulation example is also included. The result of this study now forms the foundation to investigate the open loop stability and closed loop control design for vapor compression cycles used in HVAC and electronic cooling systems.

Original languageBritish English
Title of host publication2009 American Control Conference, ACC 2009
Number of pages6
StatePublished - 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO


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