Thermal Dehydration of Hydrated Salts Under Vapor-Restricted Conditions and Its Role in Modeling Gypsum-Based Systems During Fire Exposure
Abstract
1. Introduction
2. Thermochemistry of the Investigated Hydrated Salts
2.1. Aluminum Trihydrate (ATH)
2.2. Magnesium Hydroxide (MDH)
2.3. Calcium Aluminate Sulfate (CAS, Ettringite Related)
3. Solid-State Kinetics
- Accelerating models, in which the reaction rate increases steadily and peaks toward the end of the transformation;
- Decelerating models, where the rate is initially high and gradually declines;
- Sigmoidal (autocatalytic) models, which exhibit an S-shaped rate curve, characterized by an initial acceleration followed by deceleration.
- Nucleation models assume the reaction initiates at discrete sites and propagates via the growth of product phases;
- Geometrical contraction models describe transformations where the reaction front moves inward from the particle surface;
- Diffusion models reflect rate control by mass transport of species;
- Reaction-order models apply the classical kinetics of homogeneous systems to solid-state processes.
4. Materials and Methods
4.1. DSC Experiments and Baseline Processing: Specimens, Heating Rates, and Replication
4.2. Kinetic Analysis Tools and Procedures
5. Results
5.1. Thermal Dehydration Behavior
- ΔHGB: Heat absorbed during the two-step dehydration of gypsum boards;
- ΔHR: Exothermic reorganization from anhydrite III to anhydrite II;
- ΔHadd: Heat absorbed due to the dehydration of the added salts ATH, MDH, CAS, and ESM.
- ΔHATH = 982.67 ± 73.63 kJ/kg;
- ΔHMDH = 1090.20 ± 35.11 kJ/kg;
- ΔHCAS = 718.29 ± 29.24 kJ/kg;
- ΔHESM = 1110.30 ± 27.58 kJ/kg.
5.2. Kinetic Parameters
5.2.1. Conversion Curves and Model Selection
5.2.2. Evaluation of Activation Energy
5.2.3. Multi-Step Fitting and Model Validation
6. Discussion
6.1. Kinetic Implications
6.2. Fire Engineering Interpretation of the Results
- Select the material layer model (1D wall model, finite element heat-transfer model, or coupled CFD boundary material model).
- Assign thermal properties and, where appropriate, their temperature dependence.
- Validate the implementation by reproducing non-isothermal DSC conversion curves under the same heating rates; then, run the intended fire exposure history (standard fire curve or parametric fire).
- Perform sensitivity checks on step weighting and on the effective nature of the kinetics when transferring from DSC boundary conditions to porous assembly environments.
6.3. Practical Limitations and Transferability
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| ATH | Aluminum Trihydrate (Al(OH)3) |
| ESM | Magnesium Sulfate Heptahydrate (MgSO47H2O) |
| CAS | Calcium Aluminate Sulfate (3CaO × Al2O3 × 3CaSO4 × 32H2O) |
| MDH | Magnesium Hydroxide (Mg(OH)2) |
| ICTAC | International Confederation for Thermal Analysis and Calorimetry |
| k | reaction rate constant |
| Lv | enthalpy of evaporation, 22.6 × 106 J kg−1 |
| NR | number of reactions |
| P | pressure |
| Rg | universal gas constant, 8.314 J mol−1 K−1 |
| t | time |
| T | temperature |
| w | weight factor |
| Ea | activation energy, J mol−1 |
| A | pre-exponential factor, s−1 |
| β | heating rate, K min−1 |
| Greek symbols | |
| α | conversion fraction |
| ΔH | enthalpy of reaction |
| Subscripts | |
| dh | dehydration |
| r | reaction index |
| Special Symbols | |
| d | total derivative |
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| Sample | β (K min−1) | m (mg) |
|---|---|---|
| 20 | 13.89 | |
| GB-ATH 1 | 40 | 13.59 |
| 60 | 13.62 | |
| 2 | 14.87 | |
| MDH | 10 | 14.69 |
| 20 | 14.19 | |
| 2 | 10.52 | |
| CAS | 10 | 10.22 |
| 20 | 10.24 | |
| 2 | 14.37 | |
| ESM | 10 | 12.51 |
| 20 | 14.20 |
| Sample | β (K min−1) | Δm 2 (mg) | Δm 2 (%) | ΔH 3 (kJ kg−1) | ΔH 4 (kJ kg−1) | ΔH 5 (kJ kg−1) |
|---|---|---|---|---|---|---|
| 20 | 2.54 | 18.29 | −377.56 | −48.45 | 9.15 | |
| GB-ATH 1 | 40 | 2.58 | 18.98 | −386.00 | −50.55 | 13.92 |
| 60 | 2.55 | 18.72 | −381.05 | −48.40 | 14.10 | |
| 2 | 4.13 | 27.77 | −1077.38 | |||
| MDH | 10 | 3.98 | 27.09 | −1100.32 | ||
| 20 | 3.77 | 26.57 | −1092.89 | |||
| 2 | 4.23 | 40.21 | −729.52 | |||
| CAS | 10 | 4.13 | 40.41 | −713.28 | ||
| 20 | 4.12 | 40.23 | −712.06 | |||
| 2 | 7.34 | 51.08 | −1120.84 | |||
| ESM | 10 | 6.34 | 50.68 | −1103.95 | ||
| 20 | 7.22 | 50.85 | −1106.10 |
| Material | Reaction ID | Weight Factor (−) | Ea (J mol−1) | A (s−1) | n |
|---|---|---|---|---|---|
| ATH | I | 1.000 | 120,583.02 | 0.1286 × 1010 | 2.00 |
| MDH | I | 1.000 | 142,500.00 | 0.3681 × 109 | 1.35 |
| I | 0.200 | 35,078.66 | 0.1660 × 102 | 1.00 | |
| CAS | II | 0.100 | 45,736.30 | 0.1607 × 104 | 1.25 |
| III | 0.700 | 53,064.64 | 0.4624 × 105 | 1.60 | |
| I | 0.080 | 80,000.00 | 0.7339 × 1011 | 2.50 | |
| II | 0.050 | 79,500.00 | 0.1296 × 1011 | 1.80 | |
| III | 0.160 | 91,000.00 | 0.8074 × 1011 | 2.20 | |
| IV | 0.280 | 98,800.00 | 0.1765 × 1012 | 2.20 | |
| ESM | V | 0.100 | 112,000.00 | 0.7879 × 1012 | 2.40 |
| VI | 0.155 | 75,000.00 | 0.3877 × 107 | 1.20 | |
| VII | 0.105 | 117,000.00 | 0.2489 × 1010 | 1.25 | |
| VIII | 0.070 | 108,000.00 | 0.1862 × 108 | 1.20 |
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Pache, M.; Detsi, M.D.; Mandilaras, I.D.; Kontogeorgos, D.A.; Founti, M.A. Thermal Dehydration of Hydrated Salts Under Vapor-Restricted Conditions and Its Role in Modeling Gypsum-Based Systems During Fire Exposure. Fire 2026, 9, 159. https://doi.org/10.3390/fire9040159
Pache M, Detsi MD, Mandilaras ID, Kontogeorgos DA, Founti MA. Thermal Dehydration of Hydrated Salts Under Vapor-Restricted Conditions and Its Role in Modeling Gypsum-Based Systems During Fire Exposure. Fire. 2026; 9(4):159. https://doi.org/10.3390/fire9040159
Chicago/Turabian StylePache, Maximilian, Michaela D. Detsi, Ioannis D. Mandilaras, Dimos A. Kontogeorgos, and Maria A. Founti. 2026. "Thermal Dehydration of Hydrated Salts Under Vapor-Restricted Conditions and Its Role in Modeling Gypsum-Based Systems During Fire Exposure" Fire 9, no. 4: 159. https://doi.org/10.3390/fire9040159
APA StylePache, M., Detsi, M. D., Mandilaras, I. D., Kontogeorgos, D. A., & Founti, M. A. (2026). Thermal Dehydration of Hydrated Salts Under Vapor-Restricted Conditions and Its Role in Modeling Gypsum-Based Systems During Fire Exposure. Fire, 9(4), 159. https://doi.org/10.3390/fire9040159

