Progress of Cryogenics and Isotopes Separation , ISSN: 1582-2575
2019, Volume 22, Issue 1
Pages 5-16

Mathematical model of a heat exchanger working with different refrigerant fluids

Ion Zabet 1* , Iulian Niţă 1 , Raluca Fako 1 , Graţiela Maria Ţârlea 2

1 Center of Technology and Engineering for Nuclear Project, 409, Atomistilor Street, Magurele, Ilfov, Romania
2 Technical University of Civil Engineering Bucharest,66 Blv. Pache Protopopescu, Bucharest, 021414, Romania

*Corresponding authors: Ion Zabet, E-mail:

Published: 2019


This paper involves building a model of a fin-and-tube heat exchanger geometry using EES software, creating a suitable geometry, setting up the cases (choosing solvers, numerical solution methods, etc.), making the calculations, and comparing results to known experimental data. The mathematical model can find a suitable heat exchanger to recover more Hydrogen with less quantity of Helium. Experiments done on fin-and-tube heat exchangers and reported in the literature are used for validation. The heat exchangers equipment used (for the validation of the model) were described in manufacturer product catalogue. The difference between calculated and manufacturer was ±4%. The model was validated in other applications. The model is working on the primary side with thermal fluids such as: R152a, R404A, R407C, R410A, R507A, R744, He and on the secondary side with gases such as: Air, H, T on the other side.
In the final of the paper it has been made a graphical comparison between refrigerants for heat exchanger geometry. In order to be able to liquefier more hydrogen and loss less (approx. 10 times less) is necessary to use a small quantity of Helium in a compact fin and tube heat exchanger. To analyze the capacity, mass flow, overall heat transfer coefficient, effectiveness and pressure drop of the heat exchanger, a model of fin and tube heat exchanger with the geometry describe in this paper was created using EES Software. In the simulations we used different input values for: secondary side fluid mass flow, evaporating and condensing temperature, inlet and outlet secondary side fluid temperature, atmospheric pressure and superheating difference temperature etc.


  • Baggio P., Fornasieri E., 1994
    Air-side heat transfer and flow friction: theoretical aspects
    in Recent developments in finned tube heat exchangers. Energy Technology, pp. 91-159

  • Bradu B., Gayet P., Niculescu S.-I., 2009
    A process and control simulator for large scale cryogenic plants
    Control Engineering Practice; 17:1388-1397

  • Bradu B., Avezuela R., Blanco E., Cobas P., Gayet P., Veleiro A.
    CRYOLIB a commercial library for modeling and simulation of cryogenic processes with EcosimPro
    Proceedings of ICEC 24-ICMC 2012, 47-50

  • Deschildre C., Barraud A., Bonnay P., Briend P., Girard A., Poncet J.M., Roussel P., Sequeira S.E., Weisend J.G., Barclay J., Breon S., Demko J., DiPirro M., Kelley J.P., Kittel P., Klebaner A., Zeller A., Zagarola M., Van Sciver S., Rowe A., Pfotenhauer J., Peterson T., Lock J., 2008
    Dynamic Simulation of an Helium Refrigerator
    AIP Conference Proceedings, 985:475-482

  • Dutta R., Ghosh P., Chowdhury K., 2011
    Customization and validation of a commercial process simulator for dynamic simulation of Helium liquefier
    Energy; 36:3204-3214

  • Friedel L., 1979
    Improved friction pressure drop correlations for horizontal and vertical two-phase pipe flow
    European Two-Phase Group Meeting, Ispra, Italy, Paper E2

  • Gnielinski V., 1976
    New Equation for heat and mass transfer in turbulent pipe and channel flow
    International Chemical Engineering, 16(2):359-368

  • Maekawa R., Ooba K., Ando K., Mito T., 2006
    Dynamic simulation of a large scale cryogenic plant
    Advances in Cryogenic Engineering: Transactions of the Cryogenic Engineering Conference-CEC., 823:2002-2009

  • Maekawa R., Takami S., Oba K., Nobutoki M., 2008
    Adaptation of advance control to the helium liquefier with C-PREST
    22nd International Cryogenic Engineering Conference: 243

  • McCarty R., Arp V., 1990
    A new wide range equation of state for helium
    Advanced Cryogenics Engineering, 35:1465-1475

  • McQuiston F. C., 1978
    Correlation for heat, mass and momentum transport coefficients for plate-fin-tube heat transfer surfaces with staggered tube
    ASHRAE Trans., 84:294-309

  • Wang Chi-Chuan, Tseng Chih-Yung, Chen Youn, 2010
    A new correlation and the review of two-phase flow pressure change across sudden expansion in small channels
    International Journal of Heat and Mass Transfer, 53:4287-4295

  • Zabet I., 2012
    Contributions to the study regarding the increase of eco-efficiency in refrigeration systems
    PhD Thesis, Bucharest

  • Keywords

    cooling, heat exchanger, refrigerant, hydrogen, helium

    Tag search cooling heat exchanger refrigerant hydrogen helium