2604003549
  • Open Access
  • Article

Transient Gas to Gas Experimental Study in a Bitubular Configuration Heat Exchanger

  • Michel Feidt 1,   
  • Monica Costea 2,*

Received: 12 Dec 2025 | Revised: 05 Mar 2026 | Accepted: 01 Apr 2026 | Published: 17 Apr 2026

Abstract

This paper presents a comprehensive experimental study of gas-gas flows inside a bitubular (shell-and-tube) heat exchanger (HEX) subjected to various transient conditions, namely (1) increasing or decreasing the internal hot fluid temperature, (2) increasing or decreasing the mass flow rate of the external cold fluid by step variation. Surprisingly, there are very few results in the literature for this last case. However, it seems to be of fundamental interest for some applications. Two types of quantity, the temperatures of the fluids and the heat fluxes exchanged in the HEX, are subject to transient conditions, with a range of time constants from 20 to 80 s. A comparison of experimental results with the main existing analytical model proposed in the literature, essentially validated with liquid-liquid flows, is performed. Deviations from analytical models are given as uncertainties of the time constants. It is shown that one temperature time constant is not suitable for the gas-gas flows. Extension of the results to the heat fluxes responses of the HEX is also performed and confirms the observed results. A sensitivity analysis of the time constants to the main system parameters is reported. It allows the identification of the most important influences and the proposal of primary explanations for the observed results. Local experiments on the same HEX configurations are under development, as well as associated analytical and numerical models. However, the aim is to preserve the simplicity and robustness of the models, to successfully apply them to (real time) control and command of any type of HEX using the equivalent bitubular model. This practical implication, together with the main conclusions of the sensitivity analysis of time constants provides useful insights for modelling and control applications.

References 

  • 1.

    Pierson, P. Etude Théorique et Expérimentale de Systèmes Thermiques en Régime Instationnaire : Échangeurs Capteurs Solaires et Installations Solaires Actives. Ph.D. Thesis, Université of Reims, Reims, France, 1986.

  • 2.

    Feidt, M.; Costea, M.; Stanciu, C.; et al. Génie Énergétique Appliqué au Solaire—Énergie Solaire Thermique; Printech: Bucharest, Romania, 2004.

  • 3.

    Ordonneau, G.; Albano, G.; Masse, J. CARINS: A future versatile and flexible tool for engine transient prediction. In Proceeding of the 4th International Conference on Launcher Technology “Space Launcher Liquid Propulsion”, Liège, Belgium, 3–6 December 2002.

  • 4.

    Feidt, M. Comportement en régime variable de machines thermiques à cycles inverses et de leurs composants. In P.R.2.9., VARITHERM, Final Report; A.C. Energy Colloqium, C.N.R.S.: Grenoble, France, 2005.

  • 5.

    Pfafferott, T.; Schmitz, G. Modelling and transient simulation of CO2 refrigeration system with Modelica. Int. J. Refrig. 2004, 27, 42–52. https://doi.org/10.1016/S0140-7007(03)00098-7.

  • 6.

    Li, X.; Shu, G.; Tian, H.; et al. Experimental comparison of dynamic responses of CO2 transcritical power cycle systems used for engine waste heat recovery. Energy Convers. Manag. 2018, 161, 254–265. https://doi.org/10.1016/j.enconman.2018.02.010.

  • 7.

    Yang, R.; Tran, C.T. An analytical heat exchanger model to study dynamic behavior in the case of simultaneous inlet variations. Int. J. Therm. Sci. 2022, 174, 107452. https://doi.org/10.1016/j.ijthermalsci.2021.107452.

  • 8.

    Kimiaei, S.; Kazemi-Ranjbar, S.; Jalali, A.; et al. A novel three-dimensional numerical model to simulate heat transfer inside a double U-tube borehole with two independent circuits. Int. J. Heat Mass Transf. 2022, 184, 122243. https://doi.org/10.1016/j.ijheatmasstransfer.2021.122243.

  • 9.

    Romie, F.E. Transient response of crossflow heat exchangers with zero core thermal capacitance. ASME J. Heat Transf. 1994, 116, 775–777. https://doi.org/10.1115/1.2910939.

  • 10.

    Fotowat, S.; Askar, S.; Fartaj, A. Experimental transient response of a minichannel heat exchanger with step flow variation. Exp. Therm. Fluid Sci. 2017, 89, 128–139. https://doi.org/10.1016/j.expthermflusci.2017.08.004.

  • 11.

    Roberts, R.A.; Doty, J.H. Implementation of a transient exergy analysis for a plate-fin heat exchanger. IJEX 2015, 16, 109–126. https://doi.org/10.1504/IJEX.2015.067302.

  • 12.

    Jedlikowski, A.; Anisimov, S.; Danielewicz, J.; et al. Frost formation and freeze protection with bypass for counter-flow recuperators. Int. J. Heat Mass Transf. 2017, 108, 585–613. https://doi.org/10.1016/j.ijheatmasstransfer.2016.12.047.

  • 13.

    Nakashima, A.T.D.; Peixer, G.F.; Lozano, J.A.; et al. A lumped-element magnetic refrigerator model. Appl. Therm. Eng. 2022, 204, 117918. https://doi.org/10.1016/j.applthermaleng.2021.117918.

  • 14.

    Ja’fari, M.; Jaworski, A.J.; Piccolo, A.; et al. Numerical study of transient characteristics of a standing-wave thermoacoustic heat engine. Int. J. Heat Mass Transf. 2022, 186, 122530. https://doi.org/10.1016/j.ijheatmasstransfer.2022.122530.

  • 15.

    Ataer, O.E. An approximate method for transient behavior of finned-tube-cross flow heat exchangers. Int. J. Refrig. 2004, 27, 529–539. https://doi.org/10.1016/j.ijrefrig.2004.02.005.

  • 16.

    Krishnakumar, K.; John, A.K.; Venkatarathnam, G. A review of transient test techniques heat transfer design data of compact heat exchanger surfaces. Exp. Therm. Fluid Sci. 2011, 35, 738–743. https://doi.org/10.1016/j.expthermflusci.2010.12.006.

  • 17.

    Roetzel, W.; Xuan, Y. Transient response of parallel and counterflow heat exchangers. ASME J. Heat Transf. 1992, 114, 510–512. https://doi.org/10.1115/1.2911304.

  • 18.

    Gao, T.Y.; Sammakia, B.; Geer, J.; et al. Transient effectiveness characteristics of cross flow heat exchangers in data center cooling systems. In Proceedings of the Fourteenth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (ITherm), Orlando, FL, USA, 27–30 May 2014; pp. 688–697. 

  • 19.

    Su, F.; Prasad, R.C. A transient experimental method to determine the overall heat transfer coefficient in a concentric tube heat exchanger. Int. Comm. Heat Mass Trans. 2003, 30, 603–614. https://doi.org/10.1016/S0735-1933(03)00098-8.

  • 20.

    Askar, S.; Fotowat, S.; Fartaj, A. Transient experimental investigation of airside heat transfer in a crossflow heat exchanger. Appl. Therm. Eng. 2021, 199, 117516. https://doi.org/10.1016/j.applthermaleng.2021.117516.

  • 21.

    Gao, T.Y.; Sammakia, B.; Geer, J. Dynamic response and control analysis of cross flow heat exchangers under variable temperature and flow rate conditions. Int. J. Heat Mass Transf. 2015, 81, 542–553. https://doi.org/10.1016/j.ijheatmasstransfer.2014.10.046.

  • 22.

    Gao, T.Y.; Geer, J.; Sammakia, B. Review and analysis of cross flow heat exchanger transient modeling for flow rate and temperature variations. J. Therm. Sci. Eng. Appl. 2015, 7, 041017. https://doi.org/10.1115/1.4031222.

  • 23.

    Bobic, M.; Gjerek, B.; Golobic, I.; et al. Dynamic behaviour of a plate heat exchanger: Influence of temperature disturbances and flow configurations. Int. J. Heat Mass Transf. 2020, 163, 120439. https://doi.org/10.1016/j.ijheatmasstransfer.2020.120439.

  • 24.

    Romie, F.E. Transient response of the counter flow heat exchanger. ASME J. Heat Transf. 1984, 106, 620–626. https://doi.org/10.1115/1.3246725.

  • 25.

    Lahzazi, A.; Galanis, N. Thermal transients in parallel flow heat exchangers. In Proceedings of the International Symposium on Transient Convective Heat and Mass Transfer in Single and Two-phase Flow, Cesme, Turkey, 17–22 August 2003; pp. 333–342.

  • 26.

    Henrion, M.; Feidt, M. Comportement en régime transitoire de divers types d’échangeurs de chaleur ; Modélisation et conséquences. Int. Commun. Heat Mass Trans. 1991, 18, 731–740. https://doi.org/10.1016/0735-1933(91)90084-H.

  • 27.

    Pierson, P.; Padet, J. Etude théorique et expérimentale des échangeurs en régime thermique instationnaire. Simulation d’une phase de relaxation. Int. J. Heat Mass Transf. 1988, 31, 1577–1586. https://doi.org/10.1016/0017-9310(88)90270-0.

  • 28.

    Pierson, P.; Azilinon, D.; Padet, J. Simulation du fonctionnement des échangeurs thermiques soumis à des conditions aux limites variables. Rev. Phys. Appl. 1989, 24, 93–107. https://doi.org/10.1051/rphysap:0198900240109300.

  • 29.

    Hadidi, M.; Guellal, M.; Lachi, M.; et al. Loi de réponse d’un échangeur thermique soumis à des échelons de température aux entrées. Int. Commun. Heat Mass Trans. 1995, 22, 145–154. https://doi.org/10.1016/0735-1933(94)00060-X.

  • 30.

    Azilinon, D.; Pierson, P.; Padet, J. Constante de temps des échangeurs thermiques. Rev. Gen. Therm. 1990, 338, 64–78.

  • 31.

    Lachi, M.; Elwakil, M.; Padet, J. The time constant of double pipe and one pass shell and tube HEX in the case of varying fluid flow rates. Int. J. Heat Mass Transf. 1997, 40, 2067–2079. https://doi.org/10.1016/S0017-9310(96)00274-8.

  • 32.

    Abdelghani-Idrissi, M.-A.; Bagui, F.; Estel, L. Countercurrent Double-Pipe Heat Exchanger Subjected to Flow-Rate Step Change, Part II: Analytical and Experimental Transient Response. Heat Transf. Eng. 2002, 23, 12–24. https://doi.org/10.1080/01457630290090617.

  • 33.

    Abdelghani-Idrissi, M.A.; Bagui, F.; Estel, L. Analytical and experimental response time to flow rate step along a counter flow double pipe HEX. Int. J. Heat Mass Transf. 2001, 44, 3721–3730. https://doi.org/10.1016/S0017-9310(01)00023-0.

  • 34.

    Balbi, J.H.; Balbi, N.; Orenga, P.; et al. Modélisation du champ de capteurs de la centrale solaire de Vignola. Rev. Phys. Appl. 1986, 21, 169–180. https://doi.org/10.1051/rphysap:01986002102016900.

  • 35.

    Aboudi, S.; Papini, F. Etude numérique du transfert thermique métal-fluide dans un conduit rectangulaire en régime instationnaire. Int. J. Heat Mass Transf. 1990, 33, 1909–1920. https://doi.org/10.1016/0017-9310(90)90222-G.

  • 36.

    Siakavellas, N.J.; Georgiou, D.P. 1D heat transfer through a flat plate submitted to step changes in heat transfer coefficient. Int. J. Therm. Sci. 2005, 44, 452–464. https://doi.org/10.1016/j.ijthermalsci.2005.01.003.

  • 37.

    Dwivedi, A.K.; Das, S.K. Dynamics of plate heat exchangers subject to flow variations. Int. J. Heat Mass Transf. 2007, 50, 2733–2743. https://doi.org/10.1016/j.ijheatmasstransfer.2006.11.029.

  • 38.

    Romie, F.E. Response of counterflow heat exchangers to step changes of flow rates. ASME J. Heat Transf. 1999, 121, 746–748. https://doi.org/10.1115/1.2826046.

  • 39.

    Fotowat, S.; Askar, S.; Fartaj, A. Transient response of a meso heat exchanger with temperature step variation. Int. J. Heat Mass Transf. 2018, 122, 1172–1181. https://doi.org/10.1016/j.ijheatmasstransfer.2017.12.062.

  • 40.

    Mishra, M.; Das, P.K.; Sarangi, S. Transient behaviour of crossflow heat exchangers due to perturbations in temperature and flow. Int. J. Heat Mass Transf. 2006, 49, 1083–1089. https://doi.org/10.1016/j.ijheatmasstransfer.2005.09.003.

  • 41.

    Singh, S.K.; Mishra, M.; Jha, P.K. Transient behaviour of co-current parallel flow three-fluid heat exchanger. Int. Comm. Heat Mass Trans. 2014, 52, 46–50. https://doi.org/10.1016/j.icheatmasstransfer.2014.01.001.

  • 42.

    Jacquot, C. Transfert Instationnaire de Chaleur en Échangeur Récupérateur de Moteur de Fusée; Simulation Expérimentale et Théorique en Échangeur Bitube. Ph.D. Thesis, Université Henri Poincaré, Nancy, France, February 2007.

  • 43.

    Roetzel, W.; Das, S.K.; Luo, X. Measurement of heat transfer coefficient in plate HEX using a temperature oscillation technique. Int. J. Heat Mass Transf. 1994, 37, 325–331. https://doi.org/10.1016/0017-9310(94)90033-7.

  • 44.

    Petit, D.; Dard, J.; Degiovanni, A. Détermination du coefficient d’échange entre un fluide et une paroi. Rev. Gen. Therm. 1981, 20, 719–732.

  • 45.

    Rebay, M.; Lachi, M.; Padet, J. Mesure du coefficient de convection par méthode impulsionnelle—Influence de la perturbation de la couche limite. Int. J. Therm. Sci. 2002, 41, 1161–1175. https://doi.org/10.1016/S1290-0729(02)01402-3.

  • 46.

    Luo, X.; Roetzel, W. The single-blow transient technique for plate-fin heat exchangers. Int. J. Heat Mass Transf. 2001, 44, 3745–3753. https://doi.org/10.1016/S0017-9310(01)00019-9.

  • 47.

    Froilabo. Available online: www.froilabo.com (accessed on 21 February 2026).

  • 48.

    Air Liquide. Encyclopédie des Gaz; Elsevier: Amsterdam, The Netherlands, 1976.

  • 49.

    TCSA. Available online: www.tcsa.fr (accessed on 24 March 2026).

  • 50.

    Instrutec. Available online: www.instrutec.fr (accessed on 21 February 2026).

  • 51.

    SAIS. Available online: www.sais.fr (accessed on 24 March 2026).

  • 52.

    Moffat, R.J. Describing the uncertainties in experimental results. Exp. Therm. Fluid Sci. 1988, 1, 3–17. https://doi.org/10.1016/0894-1777(88)90043-X.

  • 53.

    Jacquot, C.; Feidt, M.; Corvisier, P.; et al. Transient convective heat and mass transfer in diabatic heat exchangers: Application to cryogenic heat exchangers. In Proceedings of the International Symposium on Transient Convective Heat and Mass Transfer in Single and Two-phase Flow, Cesme, Turkey, 17–22 August 2003; pp. 323–332.

Share this article:
How to Cite
Feidt, M.; Costea, M. Transient Gas to Gas Experimental Study in a Bitubular Configuration Heat Exchanger. Thermal Science and Applications 2026, 1 (2), 101–121. https://doi.org/10.53941/tsa.2026.100008.
RIS
BibTex
Copyright & License
article copyright Image
Copyright (c) 2026 by the authors.