journal article·2026-02-16Open access

Heat Transfer Characteristics and Correlation of Supercritical Hydrogen Flow in Vertical Tubes: A Numerical Investigation

Changshun Xia, Lang Wu, Meiqin Ni, Tianhao Hua, Chao Wang

Applied Sciences· Volume 16· Issue 4

Abstract

Supercritical hydrogen has attracted much attention due to its convenience for storage and transportation. However, its thermophysical properties undergo significant changes within a narrow temperature range under ultra-low temperature and high-pressure conditions, resulting in significant differences in its heat transfer characteristics compared to normal-pressure hydrogen. So, it is urgent to clarify the heat transfer characteristics of supercritical hydrogen under the effects of various factors. For this, numerical simulations were conducted to study the heat transfer characteristics of supercritical hydrogen flow in a vertical upward tube under uniform heat flux conditions. Based on the NIST database, the drastic changes in the thermophysical properties of supercritical hydrogen were accurately considered, and the effects of buoyancy force and flow acceleration were also taken into account. Thereafter, the influences of tube diameter (6–8 mm), heat flux (1500–3000 kW/m2), fluid pressure (5–90 MPa), and mass flow rate (0.062–0.14 kg/s) on the heat transfer coefficient were analyzed. The results showed that increasing the heat flux, tube diameter, and fluid pressure, or reducing the fluid mass flow rate, was beneficial to increasing the wall–fluid heat transfer coefficient. Furthermore, a heat transfer correlation applicable to supercritical hydrogen flow in vertical tubes within the high-pressure range was obtained, with absolute errors below 10% when applied to previous studies. These results clarify the heat transfer characteristics of supercritical hydrogen flow in vertical tubes, providing a theoretical basis for the design of a supercritical hydrogen heat exchanger in practical scenarios.
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Research context

OpenAlex topics: Heat transfer and supercritical fluids · Hybrid Renewable Energy Systems · Thermodynamic and Exergetic Analyses of Power and Cooling Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Electrical Engineering and Energy Power Engineering, Yangzhou University, Yangzhou 225127, China

Funding

Postgraduate Research & Practice Innovation Program of Jiangsu Province

References (50)

Show source-provided references
1. Large-scale hydrogen production and storage technologies: Current status and future directions10.1016/j.ijhydene.2020.10.110 ↗
2. A study on thermal and flow characteristics of liquefied hydrogen heat exchanger for train using computational analysis10.1007/s12206-024-0920-4 ↗
3. Thermo-economic analysis of blending hydrogen into natural gas pipeline with gaseous inhibitors for sustainable hydrogen transportation10.1016/j.ces.2025.121619 ↗
4. Recent challenges and development of technical and technoeconomic aspects for hydrogen storage, insights at different scales; A state of art review10.1016/j.ijhydene.2024.05.182 ↗
5. Natural convection on a vertical plate with variable heat flux in supercritical fluids10.1016/j.supflu.2012.12.010 ↗
6. Design analysis of a hybrid printed circuit heat exchanger for precooling in hydrogen refueling station10.1016/j.icheatmasstransfer.2025.108765 ↗
7. The storage of hydrogen based on low-temperature and high-pressure method10.1360/N972018-01075 ↗
8. Review on equipment configuration and operation process optimization of hydrogen refueling station10.1016/j.ijhydene.2021.10.238 ↗
9. A review of the trends, evolution, and future research prospects of hydrogen fuel cells—A focus on vehicles10.1016/j.ijhydene.2024.05.480 ↗
10. Experimental study on heat transfer behavior and prediction of heat transfer deterioration of supercritical nitrogen in vertical tubes10.1016/j.icheatmasstransfer.2024.107467 ↗
11. Heat transfer behaviors of some supercritical fluids: A review10.1016/j.cja.2020.12.022 ↗
12. Performance of convective heat transfer of supercritical CO2 in unilaterally heated rectangular channel10.1016/j.supflu.2026.106895 ↗
13. Forced convection heat transfer to fluids at supercritical pressure
14. The influence of tube diameter parameters on the flow resistance and heat transfer characteristics of supercritical CO2 in horizontal tubes10.1016/j.applthermaleng.2024.122361 ↗
15. A brief review on convection heat transfer of fluids at supercritical pressures in tubes and the recent progress10.1016/j.apenergy.2015.10.080 ↗
16. Forced convective heat transfer of supercritical carbon dioxide in mini-channel under low mass fluxes10.1016/j.ijheatmasstransfer.2021.121919 ↗
17. Convective heat transfer characteristics of supercritical carbon dioxide in vertical miniature tubes of a uniform heating experimental system10.1016/j.ijheatmasstransfer.2020.120833 ↗
18. Thermal performance analysis of fin-and-tube heat exchanger circuit in supercritical hydrogen refrigeration cycle system
19. Assessment of performance of turbulence models in predicting supercritical pressure heat transfer in a vertical tube10.1016/j.ijheatmasstransfer.2007.12.028 ↗
20. Numerical simulation of heat transfer deterioration phenomenon in supercritical water through vertical tube10.1016/j.anucene.2010.05.022 ↗
21. Numerical investigation on heat transfer of supercritical CO2 in heated helically coiled tubes10.1016/j.supflu.2015.02.001 ↗
22. A numerical study of heat transfer to supercritical water flowing upward in vertical tubes under normal and deteriorated conditions10.1016/j.nucengdes.2012.10.028 ↗
23. Xi, Z.W. (2025). Numerical study on flow and heat transfer characteristics of hydrogen in microchannels. [Master’s Thesis, Northeast Electric Power University].
24. Experimental study and prediction of flow instability of supercritical nitrogen in a vertical upward tube10.1016/j.ijheatmasstransfer.2024.125565 ↗
25. Improvement of buoyancy and acceleration parameters for forced and mixed convective heat transfer to supercritical fluids flowing in vertical tubes10.1016/j.ijheatmasstransfer.2016.10.093 ↗
26. Numerical simulation of heat transfer characteristics of supercritical liquid hydrogen through triangular U-tube in moderator10.1016/j.cryogenics.2023.103698 ↗
27. Efficiency analysis of straight fin with variable heat transfer coefficient and thermal conductivity10.1007/s12206-012-0202-4 ↗
28. Analytical efficiency analysis of aerospace radiating fin10.1177/0954406214526963 ↗
29. Experimental investigation in the local heat transfer of supercritical carbon dioxide in the uniformly heated horizontal miniature tubes10.1016/j.ijheatmasstransfer.2020.120136 ↗
30. Research on heat transfer characteristics of supercritical hydrogen in rough U-shaped channels10.1002/cjce.70050 ↗
31. Friedman, R., Hendricks, R.C., and Simoneau, R.J. (1965). Heat-Transfer Characteristics of Cryogenic Hydrogen from 1000 to 2500 Psia Flowing Upward in Uniformly Heated Straight Tubes, National Aeronautics and Space Administration (NASA). NASA TN D-2977.
32. Two-equation eddy-viscosity turbulence models for engineering applications10.2514/3.12149 ↗
33. Convection heat transfer of supercritical pressure carbon dioxide in a vertical micro tube from transition to turbulent flow regime10.1016/j.ijheatmasstransfer.2012.08.038 ↗
34. Numerical simulation of conjugate heat transfer in the rectangular cooling channer at supercritical pressures
35. (2025, March 12). NIST Reference Fluid Thermodynamic and Transport Properties Database (REFPROP): Version 10, Available online: https://www.nist.gov/srd/refprop.
36. The effects of wall heat fluxes and tube diameters on laminar heat transfer rates to supercritical CO210.1016/j.icheatmasstransfer.2021.105197 ↗
37. Mixed convection on a vertical plate in supercritical fluids by selecting the best equation of state10.1016/j.supflu.2015.07.013 ↗
38. Summarization and Evaluation of Supercritical Heat Transfer Correlations
39. Direct numerical simulation analysis of heat transfer deterioration of supercritical fluids in a vertical tube at a high ratio of heat flux to mass flowrate10.1063/5.0046863 ↗
40. Numerical investigation of diameter effect on heat transfer of supercritical water flows in horizontal round tubes10.1016/j.applthermaleng.2010.10.020 ↗
41. Lee, R.A., and Haller, K.H. (1974, January 3–7). Supercritical water heat transfer developments and applications. Proceedings of the International Heat Transfer Conference, Tokyo, Japan.10.1615/IHTC5.750 ↗
42. Heat transfer characteristics of a supercritical fluid flow in a vertical pipe10.1016/j.supflu.2007.11.013 ↗
43. The influence of gravity effect on the flow resistance and heat transfer characteristics of supercritical H2 in vertical tubes10.1016/j.ijthermalsci.2025.110190 ↗
44. Investigation on heat transfer of supercritical CO2/Xe mixture crossing pseudo-critical temperature cooled in a horizontal circular tube10.1016/j.applthermaleng.2024.124245 ↗
45. Locke, J.M. (2005). Analysis of Heat Transfer Correlations for Supercritical Hydrogen in Regenerative Cooling Channels. [Ph.D. Thesis, The University of Alabama in Huntsville].10.2514/6.2005-4303 ↗
46. Forced convection heat transfer to gaseous hydrogen at high heat flux and high pressure in a smooth, round, electrically heated tube10.2514/8.5092 ↗
47. Thompson, W.R., and Geery, E.L. (1962). Heat Transfer to Cryogenic Hydrogen at Supercritical Pressures. Advances in Cryogenic Engineering, Springer.10.1007/978-1-4757-0531-7_48 ↗
48. Taylor, M.F. (1965). Experimental Local Heat-Transfer Data for Precooled Hydrogen and Helium at Surface Temperature up to 5300° R, National Aeronautics and Space Administration (NASA). NASA TN D-2280.
49. Hendricks, R.C., Graham, R.W., and Hsu, Y.Y. (1966). Experimental Heat-Transfer Results for Cryogenic Hydrogen Flowing in Tubes at Subcritical and Supercritical Pressures to 800 Pounds per Square Inch Absolute, National Aeronautics and Space Administration (NASA). NASA TN D-3095.
50. Aerojet-General Corp (1966). Heat Transfer to Cryogenic Hydrogen Flowing Turbulently in Straight and Curved Tubes at High Heat Fluxes, National Aeronautics and Space Administration (NASA). NASA CR-678.