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Transient modelling of heat exchangers using a steady-state model for low heat capacity media

Author

Listed:
  • Granda, Mariusz
  • Trojan, Marcin
  • Taler, Jan
  • Taler, Dawid

Abstract

The paper presents an innovative method for simulating the transients of heat exchangers where fluids with different thermal inertia are considered. The study develops a mathematical model of a double-pipe system in which water and air flow. The discretisation of the spatial derivative of the differential heat conduction equation in cylindrical coordinates was carried out using the FVM (Finite Volume Method). The time solution involves the application of time-marching methods. A novelty is the use of steady-state equations for a fluid with lower thermal inertia, the solution of which is implemented into the system of nonlinear equations of the entire system at each time step. That influences their stable solution at a higher time step value. Studies show that this approach reduces the calculation time from 30 to 50 %. The mathematical modelling was compared with experiment and CFD modelling data. The research has shown that the method accurately obtains the time course of air temperature by approximately 2 %. This approach is becoming increasingly important as the power industry is exposed to unstable operating conditions, which requires additional tracking of power machinery and equipment operating parameters.

Suggested Citation

  • Granda, Mariusz & Trojan, Marcin & Taler, Jan & Taler, Dawid, 2025. "Transient modelling of heat exchangers using a steady-state model for low heat capacity media," Energy, Elsevier, vol. 327(C).
    • Handle: RePEc:eee:energy:v:327:y:2025:i:c:s0360544225021085
    DOI: 10.1016/j.energy.2025.136466
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    References listed on IDEAS

    as
    1. Granda, Mariusz & Trojan, Marcin & Taler, Dawid, 2020. "CFD analysis of steam superheater operation in steady and transient state," Energy, Elsevier, vol. 199(C).
    2. Dzierwa, Piotr & Taler, Jan & Peret, Patryk & Taler, Dawid & Trojan, Marcin, 2022. "Transient CFD simulation of charging hot water tank," Energy, Elsevier, vol. 239(PC).
    3. Koot, Martijn & Wijnhoven, Fons, 2021. "Usage impact on data center electricity needs: A system dynamic forecasting model," Applied Energy, Elsevier, vol. 291(C).
    4. Wang, Hai & Meng, Hua, 2018. "Improved thermal transient modeling with new 3-order numerical solution for a district heating network with consideration of the pipe wall's thermal inertia," Energy, Elsevier, vol. 160(C), pages 171-183.
    5. Marcin Trojan & Piotr Dzierwa & Jan Taler & Mariusz Granda & Karol Kaczmarski & Dawid Taler & Tomasz Sobota, 2023. "Analysis of the Causes of the Emergency Shutdown of Natural Gas-Fired Water Peak Boilers at the Large Municipal Combined Heat and Power Plant," Energies, MDPI, vol. 16(17), pages 1-21, August.
    6. Zima, Wiesɬaw, 2001. "Numerical modeling of dynamics of steam superheaters," Energy, Elsevier, vol. 26(12), pages 1175-1184.
    7. Wajs, Jan & Kura, Tomasz & Mikielewicz, Dariusz & Fornalik-Wajs, Elzbieta & Mikielewicz, Jarosław, 2022. "Numerical analysis of high temperature minichannel heat exchanger for recuperative microturbine system," Energy, Elsevier, vol. 238(PA).
    8. Trojan, Marcin & Taler, Jan & Smaza, Krzysztof & Wróbel, Wojciech & Dzierwa, Piotr & Taler, Dawid & Kaczmarski, Karol, 2022. "A new software program for monitoring the energy distribution in a thermal waste treatment plant system," Renewable Energy, Elsevier, vol. 184(C), pages 1055-1073.
    9. Dénarié, A. & Aprile, M. & Motta, M., 2019. "Heat transmission over long pipes: New model for fast and accurate district heating simulations," Energy, Elsevier, vol. 166(C), pages 267-276.
    10. Balduzzi, Francesco & Bianchini, Alessandro & Ferrara, Giovanni & Ferrari, Lorenzo, 2016. "Dimensionless numbers for the assessment of mesh and timestep requirements in CFD simulations of Darrieus wind turbines," Energy, Elsevier, vol. 97(C), pages 246-261.
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