A dynamic model of a shell-and-tube condenser operating in a vapour compression refrigeration plant

This work presents a mathematical model of a shell-and-tube condenser based on mass continuity, energy conservation and heat transfer physical fundamentals, whose methodology can be easily adapted for modelling any type of condenser. The model is formulated as a combination of control volumes that represents all the refrigerant states in the condenser and the liquid receiver function, which is carried out by the condenser of the experimental plant. Model validation is performed by using steady-state data and transient tests from an experimental vapour compression plant; the prediction error of the model is lower than 5% and a good representation of the dynamic performance of the condenser is achieved. A theoretical comparison involving the importance of the dynamic responses of the evaporator and the condenser at the plant is also presented.

[1]  Siaw Kiang Chou,et al.  On the steady‐state modelling of a two‐stage evaporator system , 2001 .

[2]  J. P. Hartnett,et al.  Advances in Heat Transfer , 2003 .

[3]  J. Navarro-Esbrí,et al.  Considerations about evaporator thermal design in a vapour compression liquid chiller. Experimental analysis with HFC fluids (R134a and R407C) , 2004 .

[4]  Deng Shiming A dynamic mathematical model of a direct expansion (DX) water-cooled air-conditioning plant , 2000 .

[5]  Joaquín Navarro-Esbrí,et al.  A dynamic mathematical model of a shell‐and‐tube evaporator. validation with pure and blend refrigerants , 2007 .

[6]  Giancarlo Scalabrin,et al.  Modeling flow boiling heat transfer of pure fluids through artificial neural networks , 2006 .

[7]  V. K. Dhir,et al.  Laminar Film Condensation on Plane and Axisymmetric Bodies in Nonuniform Gravity , 1971 .

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

[9]  D. Didion,et al.  A simulation model of the transient performance of a heat pump , 1982 .

[10]  Tord Karlsson,et al.  Flow fields in shell-and-tube condensers : comparison of a pure refrigerant and a binary mixture , 2005 .

[11]  M. Hosoz,et al.  Modelling of a cascade refrigeration system using artificial neural network , 2006 .

[12]  Ciro Aprea,et al.  A numerical approach to a very fast thermal transient in an air cooling evaporator , 2002 .

[13]  N. Galanis,et al.  Prediction of the transient response of heat pumps , 1987 .

[14]  R. J. Goldstein,et al.  Natural convection mass transfer adjacent to horizontal plates , 1973 .