Effect of Temperature Gradient on Chloride Ion Diffusion in Nuclear Reactor Containment Building Concrete
Abstract
:1. Introduction
2. Materials and Methods
2.1. Concrete and Test Samples
2.2. Chloride Diffusion Tests
2.3. Chloride Ion Analysis
3. Results and Discussion
3.1. Chloride Concentrations in Concrete
3.2. Determination of Chloride Diffusion Coefficients in Constant Temperatures
- (i)
- Cs is equal to the chloride concentration in the concrete surface of which pores are filled with the NaCl solution;
- (ii)
- Cs does not change with time;
- (iii)
- From Assumption (i), Cs is a single value for all the temperature conditions.
3.3. Temperature Profile in Concrete in Temperature Gradient Condition
3.4. Determination of Chloride Diffusion Coefficient in Temperature Gradient Condition
3.5. Determination of Thermo-Diffusion Coefficient
3.6. Estimation of Cl Diffusion in RCBs
4. Conclusions
- Using isothermal diffusion test results, the mass diffusion coefficients (DCl) of chloride ions were determined by applying Fick’s law of diffusion. In the curve fitting, the surface chloride concentration was estimated by the concrete sample porosity, which was judged to be a reasonable value.
- At 50 °C, the value of the mass diffusion coefficient (DCl) was 3.7 times higher than at 20 °C with the activation energy of 34.6 kJ/mol.
- In the temperature gradient condition (TG) varying from 52.5 °C to 22 °C, much higher chloride concentration values were measured than in the constant 50 °C condition.
- For the TG condition, Fick’s law was rewritten in a binary form including both the mass diffusion and thermo-diffusion terms. By the curve fitting of the TG results, the thermo-diffusion coefficient (DT) was determined to be 6.201 × 10−11 m2/s·K.
- The values of the mass diffusion and thermo-diffusion coefficients were applied to the RCBs in APR1400 nuclear power plants. With the temperature gradient and daily variation in atmosphere temperature being considered, the time to corrosion initiation was reduced by 30~40% compared with the prediction without considering the temperature gradient.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Conflicts of Interest
References
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Distilled Water | Portland Cement | Dune Sand | Coarse Aggregate * | Fine Aggregate | Total | |
---|---|---|---|---|---|---|
Weight (kg) | 7.284 | 12.14 | 18.21 | 18.21 | 18.21 | 74.054 |
% w/w | 9.84 | 16.39 | 24.59 | 24.59 | 24.59 | 100.00 |
Temperature (°C) | Sample | Depth (mm) | ||||
---|---|---|---|---|---|---|
10 | 20 | 30 | 40 | 50 | ||
22 | CT22-A | 0.572 | 0.354 | 0.138 | 0.058 | 0.060 |
CT22-B | 0.634 | 0.241 | 0.099 | 0.084 | 0.242 | |
ΔCCl | 0.062 | 0.113 | 0.039 | 0.026 | 0.182 | |
50 | CT50-A | 0.916 | 0.650 | 0.301 | 0.250 | 0.292 |
CT50-B | 0.768 | 0.478 | 0.437 | 0.372 | 0.325 | |
ΔCCl | 0.148 | 0.172 | 0.136 | 0.122 | 0.033 | |
Temperature gradient (TG) | TG-A | 1.217 | 1.095 | 0.914 | 0.833 | 0.600 |
TG-B | 1.291 | 1.158 | 0.823 | 0.739 | 0.518 | |
ΔCCl | 0.074 | 0.063 | 0.091 | 0.094 | 0.082 |
Sample | DCl (×10−11 m2/s) | SR |
---|---|---|
CT22-A | 5.37 | 0.025 |
CT22-B | 4.73 | 0.064 |
CT50-A | 18.1 | 0.040 |
CT50-B | 19.2 | 0.113 |
ΔT (°C/Wall Thickness) | Time to Corrosion Initiation (Month) | |||||
---|---|---|---|---|---|---|
Fixed ΔT | Daily Variation T | |||||
Without Thermo-Diffusion (A) | With Thermo-Diffusion (B) | B/A | Without Thermo-Diffusion (C) | With Thermo-Diffusion (D) | D/C | |
10 | 64 | 42 | 0.66 | 84 | 59 | 0.70 |
20 | 42 | 25 | 0.60 | 63 | 41 | 0.65 |
30 | 29 | 17 | 0.59 | 55 | 29 | 0.53 |
40 | 20 | 12 | 0.60 | 40 | 23 | 0.58 |
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An, B.; Cho, P.; Shittu, R.A.; Kim, T.-Y.; Rostron, P.; AlFantazi, A.; Yi, Y. Effect of Temperature Gradient on Chloride Ion Diffusion in Nuclear Reactor Containment Building Concrete. Energies 2022, 15, 5581. https://doi.org/10.3390/en15155581
An B, Cho P, Shittu RA, Kim T-Y, Rostron P, AlFantazi A, Yi Y. Effect of Temperature Gradient on Chloride Ion Diffusion in Nuclear Reactor Containment Building Concrete. Energies. 2022; 15(15):5581. https://doi.org/10.3390/en15155581
Chicago/Turabian StyleAn, Boohyun, Pyungyeon Cho, Remilekun A. Shittu, Tae-Yeon Kim, Paul Rostron, Akram AlFantazi, and Yongsun Yi. 2022. "Effect of Temperature Gradient on Chloride Ion Diffusion in Nuclear Reactor Containment Building Concrete" Energies 15, no. 15: 5581. https://doi.org/10.3390/en15155581