Influence of Feed Temperature on Progressive Freeze Concentration of Magnesium Sulphate Solutions
Hafizuddin SUTIMIN, Aishah ROSLI, Mazura JUSOH
Abstract. Progressive freeze concentration (PFC) offers low-temperature separation for water treatment, yet the role of feed temperature remains unclear. Magnesium sulphate solutions were processed in a vertical finned crystallizer (50 min cycle, 2100 mL min⁻¹ circulation, −10°C coolant) using either room-temperature feed (RF, 27.4±1.8°C) or pre-chilled feed (CF, 9.1±0.8°C), with triplicate runs per condition. Outcomes were standardized into two composites: (i) Separation–kinetics metric (solute recovery, ion recovery efficiency, reversed partition coefficient, freezing and solution-retention rates) and (ii) energy metric (reversed SEC per litre, reversed process energy, energy efficiency). RF showed higher separation: solute recovery (0.643 vs. 0.585), ion recovery efficiency (79.5% vs 71.9%), and freezing rate (12.1 vs. 11.8 g min⁻¹). Partition coefficients were similar (0.129 vs. 0.122). Energy results diverged: RF required more process energy (314 vs. 235 kJ) but achieved lower SEC per litre (1.82 vs. 2.00 kWh L⁻¹) and higher efficiency (14.2% vs. 10.1%). Composite scores favoured RF for separation (0.278 vs. −0.278), while energy outcomes balanced near zero. Multivariate testing found no significant overall effect (Pillai’s Trace = 0.578, F (2,3) = 2.057, p = 0.274), though the separation–kinetics effect size was moderate-to-large (partial η² = 0.406). The results suggest that warmer feeds can improve recovery and kinetics while lowering per-litre energy demand, even though they increase absolute cooling duty. Larger studies are needed to confirm these trends and to explore adaptive flow control and expanded operating windows for scalability.
Keywords
Progressive Freeze Concentration, Magnesium Sulphate, Feed Temperature, Freezing Dynamics, Energy Consumption, Solute Recovery, Vertical Finned Crystallizer
Published online 1/15/2026, 9 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Hafizuddin SUTIMIN, Aishah ROSLI, Mazura JUSOH, Influence of Feed Temperature on Progressive Freeze Concentration of Magnesium Sulphate Solutions, Materials Research Proceedings, Vol. 59, pp 121-129, 2026
DOI: https://doi.org/10.21741/9781644903957-16
The article was published as article 16 of the book Separation Technology
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] A. Najim, “A review of advances in freeze desalination and future prospects,” Nature Partner Journals Clean Water, Review Article vol. 5, no. 1, p. 15, 2022 2022, Art no. 15. https://doi.org/10.1038/s41545-022-00158-1
[2] K. L. Foo, Yong Yeow; Lau, Woei Jye; Khan, Md Maksudur Rahman; Ahmad, Abdul Latif, “Performance of Hypersaline Brine Desalination Using Spiral Wound Membrane: A Parametric Study,” Membranes, Research Article vol. 13, no. 2, p. 248, 2023 2023, Art no. 248. https://doi.org/10.3390/membranes13020248
[3] A. A. H. Prestes, Cristiane Vieira; Esmerino, Erick Almeida; Silva, Ramon; da Cruz, Adriano Gomes; Prudencio, Elane Schwinden, “Freeze concentration techniques as alternative methods to thermal processing in dairy manufacturing: A review,” Journal of Food Science, Review Article vol. 87, no. 2, pp. 543-562, 2022 2022. https://doi.org/10.1111/1750-3841.16027
[4] J.-E. B. Vuist, Remko M.; Schutyser, Maarten A. I., “Solute inclusion and freezing rate during progressive freeze concentration of sucrose and maltodextrin solutions,” Drying Technology, Research Article vol. 39, no. 10, pp. 1285–1293, 2021 2021. https://doi.org/10.1080/07373937.2020.1742151
[5] J.-E. Vuist, “Progressive freeze concentration,” PhD Doctoral Thesis, Laboratory of Food Process Engineering, Wageningen University & Research, Wageningen, The Netherlands, 2021. [Online]. Available: https://doi.org/10.18174/550673
[6] D. F. Fontana, Federica; Pietrantonio, Massimiliana; Pucciarmati, Stefano; Marcoaldi, Caterina, “Magnesium recovery from seawater desalination brines: a technical review,” Environment, Development and Sustainability, Review Article 2022 2022. https://doi.org/10.1007/s10668-022-02663-2
[7] F. R. Leon, Alejandro, “Performance Analysis of a Full-Scale Desalination Plant with Reverse Osmosis Membranes for Irrigation,” Membranes, Research Article vol. 11, no. 10, p. 774 (article number), 2021 2021. https://doi.org/10.3390/membranes11100774
[8] I. C. Bolton & Menk, “Analyzing Alternatives for Sulfate Treatment in Municipal Wastewater,” Minnesota Pollution Control Agency (MPCA), St. Paul, Minnesota, USA, Technical Report wq-rule4-15pp, 2018 2018. [Online]. Available: https://www.pca.state.mn.us/
[9] T. T. Rashid, Su Ying; Harun, Noor Hafiza; Zakaria, Zaki Yamani; Ngadi, Norzita; Mohamad, Zurina; Jusoh, Mazura, “Progressive Freeze Concentration for Leachate Treatment using Vertical Finned Crystallizer,” Chemical Engineering Transactions, Research Article vol. 97, pp. 451–456, 2022 2022. https://doi.org/10.3303/CET2297076
[10] A. H. Harvey, “Thermodynamic Properties of Water: Tabulation from the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use,” National Institute of Standards and Technology (NIST), Gaithersburg, Maryland, USA, Technical Report NISTIR 5078, November 1998 1998. [Online]. Available: https://nvlpubs.nist.gov/nistpubs/Legacy/IR/nistir5078.pdf
[11] Standard Test Method for Sulfate Ion in Water, Standard Test Method D516-22, A. International, West Conshohocken, PA, USA, December 1, 2022 (approved) / March 2023 (published) 2023. [Online]. Available: https://doi.org/10.1520/D0516-22
[12] W. P. Wagner, A, “The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use,” Journal of Physical and Chemical Reference Data, Research Article vol. 31, no. 2, pp. 387-535, 2002 2002. https://doi.org/10.1063/1.1461829
[13] H. S.-W. Todorov, E.; Gerber, S., “Applying univariate vs. multivariate statistics to investigate therapeutic efficacy in (pre)clinical trials: A Monte Carlo simulation study on the example of a controlled preclinical neurotrauma trial,” PLoS ONE, Research Article vol. 15, no. 3, pp. 1-20, 2020 2020. https://doi.org/10.1371/journal.pone.0230798
[14] Z. J. Zhang, M.; Vanapalli, S., “Experimental and theoretical analysis of solute redistribution during a progressive freeze concentration process,” International Communications in Heat and Mass Transfer, Research Article vol. 152, p. 107288 (article number), 2024 2024, Art no. 107288. https://doi.org/10.1016/j.icheatmasstransfer.2024.107288
[15] S. J. Luo, Y.; Tao, R.; Li, H.; Li, C.; Wang, J.; Li, Z., “Molecular understanding of ion rejection in the freezing of aqueous solutions,” Physical Chemistry Chemical Physics, vol. 23, pp. 13292–13299, 2021. https://doi.org/10.1039/d1cp01733k
[16] Y. W. Du, Z.; Jiang, L.; Calzavarini, E.; Sun, C., “Sea Water Freezing Modes in a Natural Convection System,” Journal of Fluid Mechanics, 2023. https://doi.org/doi:10.1017/jfm.2023.215
[17] R. H. Wang, Y.; Yuan, X.; Chen, J.; Jiang, S.; Li, X., “Unsynchronized migrations of different salt ions and ice microstructure development during unidirectional freeze–thaw,” Desalination, vol. 549, p. 116326, 2023 2023. https://doi.org/10.1016/j.desal.2022.116326
[18] S. Jan Eise Vuist, Remko M. Boom, “Solute inclusion during progressive freeze concentration: A state diagram approach,” Journal of Food Engineering, vol. 320, p. 110928. https://doi.org/10.1016/j.jfoodeng.2021.110928
[19] M. H. Hendijanifard, Amir; Farhadi, Shahrokh, “Comparing energy and exergy of multiple effect freeze desalination to MEE MSF RO,” Nature Partner Journals Clean Water, Research Article vol. 7, no. Article 95, p. 95, 2024 2024, Art no. 95. https://doi.org/10.1038/s41545-024-00395-6
[20] H. J. Zhang, I.; Hassan Ali, M. I.; Askar, K., “Freezing desalination: Heat and mass validated modeling and experimental parametric analyses,” Case Studies in Thermal Engineering, vol. 26, p. 101189, 2021. https://doi.org/10.1016/j.csite.2021.101189
[21] R. T. S.; Carson, K., “Moving beyond P values in The Journal of Physiology: A primer on the value of effect sizes and confidence intervals,” The Journal of Physiology, vol. 301, no. 23, pp. 5131–5133, 2023. https://doi.org/10.1113/JP285575. The Physiological Society.
[22] A. C. M. Miola, Hélio Amante, “P-value and effect-size in clinical and experimental studies,” Journal Vascular Brasileiro (J Vasc Bras), vol. 20, p. e20210038, 2021. https://doi.org/10.1590/1677-5449.210038
[23] N. A. J. Tarasewicz, A. M., “An ecosystem model based composite indicator, representing sustainability aspects for comparison of forest management strategies,” Ecological Indicators, vol. 133, p. 108456, 2021. https://doi.org/10.1016/j.ecolind.2021.108456
[24] L. Phylipova, “Development of the design and determination of mode characteristics of block cryoconcentrators for pomegranate juice,” Eastern-European Journal of Enterprise Technologies, vol. 2, no. 11 (110), pp. 6–14, 2021. https://doi.org/10.15587/1729-4061.2021.230182
[25] J. A. P. Burton, R. C.; Slichter, W. P., “The distribution of solute in crystals grown from the melt. Part I. Theoretical,” The Journal of Chemical Physics, vol. 21, no. 11, pp. 1987–1991, 1953. https://doi.org/10.1063/1.1698728
[26] S. O. Moharramzadeh, Say Kee; Alleman, James; Cetin, Kristen S., “Parametric study of the progressive freeze concentration for desalination,” Desalination, Research Article vol. 510, p. 115077 (article number), 2021 2021, Art no. 115077. https://doi.org/10.1016/j.desal.2021.115077

