A comparison of modeling paradigms for dynamic evaporator simulations with variable fluid phases

Abstract This paper provides a comparison of evaporator modeling techniques for dynamic vapor compression system simulations that can handle the appearance and disappearance of fluid phases in the heat exchanger using a fixed-step solver. This paper compares moving boundary models with different switching mechanisms as well as a finite control volume approach. Switching approaches include (1) enthalpy based switching which uses two-phase region length and evaporator outlet enthalpy as an event trigger, (2) void fraction based switching which includes the mean void fraction in the state variable vector, and (3) density based switching which uses two-phase region density to trigger mass conservative switching. Simulations are performed for three different refrigerants under three different operating conditions and results are compared through pressure, superheat, and air temperature outputs. The number of switches triggered during simulation are also presented for comparison. These results are used to provide recommendations for the minimum threshold length commonly used in these switching methods and also to highlight the advantages and disadvantages of each approach.

[1]  E. Rodriguez,et al.  Supplemental Simulation Case Studies of Dynamic Evaporator Modeling Paradigms with Variable Fluid Phases , 2015 .

[2]  Reinhard Radermacher,et al.  An Improved Moving Boundary Heat Exchanger Model with Pressure Drop , 2014 .

[3]  Eric W. Grald,et al.  A moving-boundary formulation for modeling time-dependent two-phase flows , 1992 .

[4]  V. Gnielinski New equations for heat and mass transfer in turbulent pipe and channel flow , 1976 .

[5]  J. Chato,et al.  Experimental Investigation of Void Fraction During Horizontal Flow in Larger Diameter Refrigeration Applications , 1998 .

[6]  Andrew G. Alleyne,et al.  A dynamic model of a vapor compression cycle with shut-down and start-up operations , 2010 .

[7]  Andrew G. Alleyne,et al.  Control-Oriented Modeling of Transcritical Vapor Compression Systems , 2004 .

[8]  Andrew G. Alleyne,et al.  An advanced nonlinear switched heat exchanger model for vapor compression cycles using the moving-boundary method , 2008 .

[9]  Morten Willatzen,et al.  A general dynamic simulation model for evaporators and condensers in refrigeration. Part II: simulation and control of an evaporator , 1998 .

[10]  James E. Braun,et al.  A comparison of moving-boundary and finite-volume formulations for transients in centrifugal chillers , 2008 .

[11]  M. McLinden,et al.  NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 8.0 , 2007 .

[12]  A. London,et al.  Compact heat exchangers , 1960 .

[13]  H. Harry Asada,et al.  Modeling of Vapor Compression Cycles for Multivariable Feedback Control of HVAC Systems , 1997 .

[14]  H. Harry Asada,et al.  Multivariable control of vapor compression systems , 1998 .

[15]  Morten Willatzen,et al.  A general dynamic simulation model for evaporators and condensers in refrigeration. Part I: moving-boundary formulation of two-phase flows with heat exchange , 1998 .

[16]  J. Wattelet,et al.  Heat Transfer Flow Regimes of Refrigerants in a Horizontal-Tube Evaporator , 1994 .

[17]  Chun-Lu Zhang,et al.  A generalized moving-boundary model for transient simulation of dry-expansion evaporators under larger disturbances , 2006 .

[18]  B. L. Bhatt,et al.  A system mean void fraction model for predicting various transient phenomena associated with two-phase evaporating and condensing flows , 1978 .

[19]  Sebastián Dormido,et al.  Switching moving boundary models for two-phase flow evaporators and condensers , 2015, Commun. Nonlinear Sci. Numer. Simul..

[20]  Luca Cecchinato,et al.  An intrinsically mass conservative switched evaporator model adopting the moving-boundary method , 2012 .

[21]  Hubertus Tummescheit,et al.  Moving Boundary Models for Dynamic Simulations of Two-Phase Flows , 2002 .