An experimental study of frost formation on cryogenic surfaces under natural convection conditions
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The frosting phenomenon is commonly observed in refrigeration and air-conditioning fields because of their operating conditions.
“Therefore, we may easily understand that the frosting phenomenon is commonly observed in refrigeration and airconditioning fields, and it occurs because of their operating conditions [17].”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [17]
Under ultralow temperature surface conditions (temperatures lower than -165°C), as surface temperature decreases, frost layer thickness decreases.
“As shown in Fig. 16(a) and (b), under ultralow temperature surface conditions, namely for temperatures lower than 165 ° C, as the surface temperature decreases, the thickness of the frost layer decreases as well.”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [17]
The ultralow temperature effect on frost layer thickness is not particularly strong but presents a completely different tendency compared with ordinary low surface temperature conditions.
“Although this temperature effect was not particularly strong, it presented a completely different tendency, compared with the case of the ordinary low surface temperature conditions.”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [17]
Recently, certain scholars such as Liu et al. have started to explore frosting mechanisms on ultralow temperature plate surfaces.
“Recently, certain scholars, such as Liu et al. [17], have started to explore the frosting mechanisms on ultralow temperature plate surfaces.”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [17]
Cites
Huang, L., Liu, Z., Liu, Y., Gou, Y., & Wang, J. (2009) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2009.06.002 · Cited by 108 · see citing works
Self-citationFrost formation on a vertical plate in simultaneously developing flow
Lee, Y. B., & Ro, S. T. (2002) · Experimental Thermal and Fluid Science · doi:10.1016/s0894-1777(02)00216-9 · Cited by 97 · see citing works
Liu, Z., Wang, H., Zhang, X., Meng, S., & Ma, C. (2006) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2005.05.018 · Cited by 93 · see citing works
Self-citationKim, K.-H., Ko, H.-J., Kim, K., Kim, Y.-W., & Cho, K.-J. (2009) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2008.10.015 · Cited by 47 · see citing works
Effect of underwing frost on a transport aircraft airfoil at flight Reynolds number
Bragg, M. B., Heinrich, D. C., Valarezo, W. O., & McGhee, R. J. (1994) · Journal of Aircraft · doi:10.2514/3.46661 · Cited by 40 · see citing works
Evaluation of ice release coatings at cryogenic temperature for the space shuttle
Ferrick, M. G., Mulherin, N. D., Haehnel, R. B., Coutermarsh, B. A., Durell, G. D., Tantillo, T. J., Curtis, L. A., Clair, T. L. S., Weiser, E. S., Cano, R. J., et al. (2008) · Cold Regions Science and Technology · doi:10.1016/j.coldregions.2007.03.002 · Cited by 30 · see citing works
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Review on the measurement and calculation of frost characteristics
Song, M., & Dang, C. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2018.03.094 · Cited by 212 · see citing works
Zhao, Y.-G., Guo, Q., Lin, T., & Cheng, P. (2020) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.120074 · Cited by 124 · see citing works
Frost growth mechanism and its behavior under ultra-low temperature conditions
Jeong, H., Byun, S., Kim, D. R., & Lee, K.-S. (2021) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2021.120941 · Cited by 75 · see citing works
Frost deposition on a horizontal cryogenic surface in free convection
Li, L., Liu, Z., Li, Y., & Dong, Y. (2017) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.05.058 · Cited by 71 · see citing works
Self-citationFrost layer growth behavior under cryogenic conditions
Lee, J., Jeong, H., Kim, D. R., & Lee, K.-S. (2019) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2019.114333 · Cited by 60 · see citing works
Dynamic study of frost formation on cryogenic surface
Sun, B., Ghatage, S. V., Evans, G., Bhatelia, T., Utikar, R., & Pareek, V. (2020) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.119372 · Cited by 57 · see citing works
(2022) · doi:10.1016/j.applthermaleng.2022.118416 · Cited by 54 · see citing works
Zendehboudi, A., Wang, B.-L., & Li, X.-T. (2017) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2017.01.049 · Cited by 50 · see citing works
Liu, S.-S., Jiao, W., Ren, L.-M., & Tian, X.-H. (2020) · Renewable Energy · doi:10.1016/j.renene.2019.10.072 · Cited by 42 · see citing works
Promote anti- /de- frosting by suppressing directional ice bridging
Zhao, Y.-G., Yan, Z., Zhang, H., Yang, C., & Cheng, P. (2021) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.120609 · Cited by 37 · see citing works
Zhang, Y., Zhang, G.-M., Zhang, A., Jin, Y., Ru, R.-R., & Tian, M.-C. (2018) · Energies · doi:10.3390/en11102642 · Cited by 37 · see citing works
Amer, M., & Wang, C.-C. (2020) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2020.115729 · Cited by 34 · see citing works
Shangwen, L., Mengjie, S., Chaobin, D., Yingjie, X., & Keke, S. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2022.118470 · Cited by 34 · see citing works
Yu, F., Liu, Z.-L., Li, Y.-X., Chen, Y., & Li, Y. (2022) · International journal of refrigeration · doi:10.1016/j.ijrefrig.2022.07.021 · Cited by 33 · see citing works
Self-citationZhang, Y., He, F., Zhang, G.-M., Qu, X.-H., & Tian, M.-C. (2022) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2022.123416 · Cited by 32 · see citing works
Moradkhani, M., Hosseini, S. H., Valizadeh, M., & Song, M. (2021) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2021.105667 · Cited by 32 · see citing works
Optical investigation of cryogenic frost formation under forced convection
Jeong, H., Byun, S., Kim, D. R., & Lee, K.-S. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2021.117887 · Cited by 32 · see citing works
Byun, S., Jeong, H., Hyeon, S., & Lee, K.-S. (2021) · Energy and Buildings · doi:10.1016/j.enbuild.2021.111186 · Cited by 31 · see citing works
Moradkhani, M. A., Hosseini, S. H., Shangwen, L., & Song, M. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2022.119258 · Cited by 33 · see citing works
Modeling of the frost deposition by natural convection on horizontal ultra-low-temperature surfaces
Zendehboudi, A., & Hosseini, S. H. (2019) · Journal of Thermal Analysis and Calorimetry · doi:10.1007/s10973-019-08087-x · Cited by 26 · see citing works
Hosseini, S., Rezaei, M., Bag-Mohammadi, M., Zendehboudi, A., & Ahmadi, G. (2019) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2018.11.022 · Cited by 26 · see citing works
Hosseini, S. H., Moradkhani, M., Valizadeh, M., & Ahmadi, G. (2021) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2020.12.035 · Cited by 25 · see citing works
Choi, S.-G., & Kim, S. (2017) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.05.033 · Cited by 25 · see citing works
Lei, S., Song, M., Zhang, L., Zhang, X., Shao, K.-K., & Shen, J. (2023) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2023.121318 · Cited by 20 · see citing works
Lai, T., Ding, P., Dong, X., Zhang, B., Chen, X., & Hou, Y. (2020) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2020.115075 · Cited by 18 · see citing works
Frost crystal growth behavior on a hydrophilic surface over a wide range of cold surface temperature
Li, Y.-X., Wang, Z.-Q., Liu, Z.-L., & Zhao, S. (2024) · International journal of refrigeration · doi:10.1016/j.ijrefrig.2024.09.014 · Cited by 17 · see citing works
Self-citationEffect of frost layer on heat transfer of cryogenic fluid in a finned tube
Ren, L.-M., Jiao, W., Tian, X.-H., & Liu, T. (2020) · Cryogenics · doi:10.1016/j.cryogenics.2020.103115 · Cited by 17 · see citing works
Ren, L.-M., Jiao, W., Tian, G., Tian, X.-H., & Liu, S.-S. (2021) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2021.04.035 · Cited by 15 · see citing works
Frost growth behavior on a vertical plate according to airflow direction at ultra-low temperatures
Son, H., Jeong, H., Ryu, I., Lee, K.-S., & Kim, D. R. (2023) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2022.123754 · Cited by 14 · see citing works
A predictive model of frost formation on leaf surface and estimation of frost amount
Song, H., & Hu, Y.-G. (2023) · Case Studies in Thermal Engineering · doi:10.1016/j.csite.2023.102789 · Cited by 14 · see citing works
Chen, Y., Liu, Z.-L., Li, Y.-X., Yu, F., & Li, Y. (2021) · International journal of refrigeration · doi:10.1016/j.ijrefrig.2021.12.020 · Cited by 14 · see citing works
Self-citationFrost layer growth behavior study on a cryogenic surface with water vapor content <1000 ppmv
Qi, Y., Ye, H.-Y., Shu, W.-H., Zhi, X., & Qiu, L.-M. (2023) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2023.107027 · Cited by 13 · see citing works
Yu, F., Chen, H., Li, Y.-X., Wang, Z.-Q., & Liu, Z.-L. (2025) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.126452 · Cited by 12 · see citing works
Self-citationSon, H., Lee, H., Lee, K.-S., & Kim, D. R. (2024) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2024.122746 · Cited by 11 · see citing works
Moradkhani, M. A., Gao, R., Hosseini, S. H., & Song, M. (2023) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2023.122090 · Cited by 15 · see citing works
Capacitive sensing of frost growth dynamics on aluminum surfaces with different wettabilities
Inanlu, M., Gurumukhi, Y., Kabirzadeh, P., Anand, R., Khodakarami, S., Viswanathan, V., Stillwell, A., & Miljković, N. (2024) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.125377 · Cited by 10 · see citing works
Gao, Y., Lai, T.-W., Yang, S., Yan, S.-H., Liu, M., & Hou, Y. (2024) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2024.122354 · Cited by 10 · see citing works
Modeling of natural convection
Nikitin, M. (2016) · International Conference on Industrial Engineering, Applications and Manufacturing · doi:10.1109/icieam.2016.7911583 · Cited by 10
“Accompanied by relatively high temperature deltas, such variations may lead to significant velocity gradients [15].”
BackgroundWang, J., Wang, J., Xie, L., Peng, F., & Shi, L.-Y. (2024) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2024.107415 · Cited by 9 · see citing works
Experimental Study of Water Drop Freezing Process on Cryogenic Cold Surface
Yu, F., Liu, Z.-L., Li, Y.-X., Li, Y., & Wang, Z.-Q. (2023) · International journal of refrigeration · doi:10.1016/j.ijrefrig.2023.02.021 · Cited by 9 · see citing works
Self-citationLi, L., Liu, Z.-L., Zhao, L.-Q., & Li, Y.-X. (2019) · International journal of thermal sciences · doi:10.1016/j.ijthermalsci.2018.12.001 · Cited by 9 · see citing works
Self-citationShangguan, S., Wang, L., Sun, P., Wang, B., Liu, B., & Li, Y. (2025) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2024.11.025 · Cited by 9 · see citing works
Self-citationByun, S., Won, J., Song, J., Jeong, H., & Lee, K. (2025) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2025.108588 · Cited by 8 · see citing works
Ye, H.-Y., Shu, W.-H., Qi, Y., Fang, S., Zhu, S.-L., Jiang, H., Zhi, X., Qiu, L.-M., & Wang, K. (2025) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.126355 · Cited by 8 · see citing works
Shangwen, L., Song, M., Wei, D., Tianzhuo, Z., & Shao, K. (2022) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2022.110684 · Cited by 20 · see citing works
Zhang, W., Cheng, J.-M., Song, Y., Chen, Z., Chen, W., & Gao, R. (2023) · International journal of thermal sciences · doi:10.1016/j.ijthermalsci.2022.107937 · Cited by 7
Ma, C., Ge, X., Zheng, H., Song, M., Sheng, W., Chen, X.-Z., Fu, D.-Y., & Dang, C.-B. (2025) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.127205 · Cited by 5 · see citing works
Ye, H.-Y., Jiang, H., Qi, Y., Shu, W.-H., Zhi, X., Qiu, L.-M., & Wang, K. (2024) · International journal of refrigeration · doi:10.1016/j.ijrefrig.2024.08.026 · Cited by 5 · see citing works
Zheng, J.-W., Xie, Y.-S., Wu, Y.-L., Yang, K.-S., & Wang, C.-C. (2024) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.125544 · Cited by 5 · see citing works
Shi, G.-H., Huang, P., Lei, X., Li, X., & Liu, B. (2026) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.129421 · Cited by 4 · see citing works
Ji, J.-D., Zhao, J., Ni, X., Pan, Y.-L., & Li, Y.-M. (2025) · Case Studies in Thermal Engineering · doi:10.1016/j.csite.2025.106209 · Cited by 4 · see citing works
Self-citationMi, Y., Liu, M., Wu, H., Zhao, R., & Zhu, K. (2025) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2025.127280 · Cited by 3 · see citing works
Yu, F., Chen, H., Li, Y.-X., Wang, Z.-Q., Li, Y., & Liu, Z.-L. (2025) · Cryogenics (Guildford) · doi:10.1016/j.cryogenics.2025.104147 · Cited by 3 · see citing works
Self-citationYe, H.-Y., Hu, Q., Qi, Y., Zhi, X., & Qiu, L.-M. (2023) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2023.120785 · Cited by 3
Shangguan, S., Sun, P., Wang, L., Liu, B.-W., & Li, Y.-Z. (2025) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2025.109765 · Cited by 2 · see citing works
Self-citationNovel approach to modeling ultra‐low temperature frost formation using Computational Fluid Dynamics
Wong, J., Sun, B., Shah, M., Utikar, R., & Pareek, V. K. (2025) · AIChE Journal · doi:10.1002/aic.18925 · Cited by 2 · see citing works
Yu, F., Liu, Z.-L., Li, Y.-X., Chen, Y., & Li, Y. (2023) · Energies · doi:10.3390/en16041861 · Cited by 2 · see citing works
Self-citationQin, Y., Chen, C., Dong, B., Li, W.-Z., & Zhang, P.-T. (2020) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.119882 · Cited by 2 · see citing works
Chiu, Y.-C., Yen, S.-W., Li, Y.-M., Chen, C.-H., & Wang, C.-C. (2026) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2026.131633 · Cited by 1 · see citing works
Self-citationDong, L., Yang, Q., Zhao, W., Zhan, B., Wang, Z.-C., Yang, Y.-X., Zuo, Z.-Q., Tong, L.-G., & Wang, L. (2026) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2026.130634 · Cited by 1 · see citing works
Zhao, S., Zhang, L., Zhang, X., Xie, T., Li, Y., & Song, M.-J. (2025) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.127856
Self-citationAslani, A., & Kim, K. C. (2025) · The Physics of Fluids · doi:10.1063/5.0250562
Naqvi, S. A., Zhang, X., Song, M.-J., Zhang, L., Jing, L., Shao, K.-K., Munir, U., Rafique, F., Waqas, M., Bahrami, H.-R., et al. (2026) · Renewable & Sustainable Energy Reviews · doi:10.1016/j.rser.2026.117254
Morphologies of Freezing Water Droplets: Mechanisms, Effects of Scenarios and Composition
Tong, W., Peng, C.-Y., & Zhao, Y.-G. (2026) · Frontiers in Heat and Mass Transfer · doi:10.32604/fhmt.2026.088107
“…is a fundamental phase-change phenomenon of remarkable scientific richness and practical importance, with implications spanning atmospheric science [1,2], aviation safety [3,4], energy infrastructure [5,6], and emerging technologies in additive manufacturing [7,8] and cryopreservation [9–11].”
Study on The Effect of Different Plenum Chamber Coefficients on Frosting of Air-cooler
Liu, B., Shi, S., Liu, Y., Bennacer, R., Chen, A.-Q., & Theodorakis, P. (2021) · E3S Web of Conferences · doi:10.1051/e3sconf/202132104019
Song, M.-J., & Deng, S.-M. (2019) · Defrosting for Air Source Heat Pump · doi:10.1016/b978-0-08-102517-8.00001-1
- Authors
- Liu, Z., Dong, Y., & Li, Y.
- Affiliations
- Beijing University of Technology (CN)
- Corresponding author
- Liu, Zhongliang
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 2016-06
- Volume
- 97
- Pages
- 569-577
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2288751796
- Cited by
- 74
- References
- 0
- Citations by year
- 2026: 3 · 2025: 13 · 2024: 12 · 2023: 7 · 2022: 11 · 2021: 7 · 2020: 8 · 2019: 5 · 2018: 4 · 2017: 3 · 2016: 1
- FWCI
- 5.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- Funders
- Beijing Municipal Natural Science Foundation (3162007)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Aerospace Engineering › Spacecraft and Cryogenic Technologies
- Keywords
- frost formation, cryogenic surfaces, natural convection, frost layer growth, surface temperature effects, relative humidity, vertical surfaces, horizontal surface, frost thickness
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