The CFD technique based on the finite volume method was used to predict, visualize and calculate the radon distribution and concentration inside the room as well as the mixture of indoor radon-air flow. Moreover, by using the obtained average indoor radon concentrations, the effective dose rate the staff are exposed to was also estimated.
3.1. CFD simulations results
By setting up the input parameters in the CFD code, the contours of the radon distribution at different air flow velocities in both aforementioned scenarios were simulated and are illustrated in Figs. 2 and 3. From the CFD results, it can be seen that as a result of the air flow velocity through the door and window, the radon gas concentration led towards the center of the room. Accordingly, the radon accumulated nearer to the surface of the left-hand corner of the room when the inlet air velocity was increased to 0.041 m s− 1. The ventilation profiles revealed that the indoor radon distribution was not uniform. By assuming that ACH = 1 h− 1 in order to comply with ventilation requirements of buildings, the radon concentration in the middle of the room (in both scenarios) was low, moreover, the average radon concentration according to the CFD simulation was found to be 70.21 and 66.25 (Bq m− 3) for the closed- and open-door scenarios, respectively.
Based on Figs. 2 and 3, the highest concentrations of radon were recorded close to the floor and upper wall around the inlet which are reduced by increasing the air exchange rate, while the lowest values were observed near to the inlet and front wall. These results are due to the air velocity profile (m s− 1) in the room shown in Fig. 4, which was simulated in both scenarios at two different air exchange rates of ACH = 1 and 4.3 h− 1 to comply with ventilation requirements and to compare with others studies, respectively. In order to compare the CFD results with other studies, Visnuprasad et al. (2019) [20] and Zhuo et al. (2001) [8] assumed ACH = 4.3 h− 1 in the open-door scenario and the average indoor radon concentrations in their studies were reported to be 29 and 15 Bq m− 3, respectively, while in this study it was simulated to be 20 Bq m− 3, the results of which are given in Table 1. The average indoor radon concentration reported by Rabi et al. (2017) [12] was 49 Bq m− 3 which assumed that ACH = 1 h− 1, in the closed-door scenario, while in this study the corresponding value was around 70 Bq m− 3.
Table 1
Variation in the volume averaged radon concentration in the room at different ventilation rates compared with the analytical calculation
ACH (h− 1)
|
Numerical simulation
|
Analytical method
|
Difference (%)
|
Open door
|
Closed door
|
with open door
|
with closed door
|
0.3
|
195.65
|
213.70
|
221.60
|
11.71
|
3.56
|
0.5
|
124.07
|
130.37
|
138.22
|
10.23
|
5.68
|
1
|
66.25
|
70.21
|
74.59
|
11.17
|
5.87
|
1.5
|
47.07
|
50.33
|
53.17
|
11.46
|
5.34
|
2
|
37.76
|
40.10
|
42.42
|
10.97
|
5.47
|
4.3
|
20.17
|
23.32
|
25.11
|
19.67
|
7.11
|
In order to estimate the annual radon effective dose rate (AED) originating from the inhalation of indoor radon, the following equation is used [1]:
AED = C Rn × F × t × K (6)
where AED stands for the annual radon effective dose rate from exposure to radon (mSv yr− 1), CRn denotes for the average radon concentrations in the room (Bq m− 3), F represents the indoor equilibrium factor for radon of 0.4 which was provided by United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR) in 2000, and t refers to the number of hours spent inside annually (2,000 h based on the spent time by the staff). Furthermore, K denotes the radon dose conversion factor recommended by the International Commission on Radiological Protection (ICRP) Publication 115 of 12 nSv per unit of integrated radon concentration (Bq h m− 3) [21]. In this survey, the average indoor radon concentration according to CFD calculations represents the annual average radon concentration. Finally, according to the simulation results, the corresponding annual effective dose from the inhalation of radon when ACH = 1 h− 1 was calculated as 0.68 and 0.64 mSv yr− 1 in the closed and open-door scenarios, respectively. These annual effective doses are less than the limit recommended by ICRP of 3–10 mSv yr− 1 [22]. However, as simulated and shown in Figs. 2 and 3, it could be inferred that due to the poor ventilation and air velocity profile at some locations in the test room, e.g. close to the floor in the inlet, radon gas can accumulate more so the risk of exposure the staff are subjected to would be higher. Therefore, at this location, the corresponding dose received by the staff 1 m above the floor and when ACH = 1 h− 1 could be approximately 1.63 and 1.48 mSv yr− 1 in the closed and open-door scenarios, respectively, which are also less than the range recommended by the ICRP of 3–10 mSv yr− 1.
In Table 1, the results of the analytical calculation and CFD simulation are compared. By computing the percentage difference between the estimated results according to ANSYS-Fluent and the analytical calculations at each ventilation rate, the maximum difference was found to be 19% when ACH = 4.3 h− 1 in the open-door scenario. At the desired air exchange rate of 1 h− 1, the difference was also found to be approximately 11% and 5% in the open- and closed-door scenarios, respectively. As is evident from Table 1, the different ventilation rates have distinct effects on the indoor radon concentration in the test room, which is also illustrated in Fig. 5. The simulation results indicate that the air flow pattern within the room is an important function with regard to the distribution of the indoor radon concentration. Moreover, it is noteworthy that the indoor radon concentration varies depending on the size of the room, radon exhalation from building materials and the air exchange rate.
3.2. Effect of relative humidity on indoor radon concentration
Factors that affect the radon concentration in the room include building materials, ventilation rate, wind effect, temperature difference between inside and outside the room as well as the indoor air humidity. Regarding indoor air humidity, a negative correlation is observed between this parameter and the ventilation rate [23]. In this study, different values of the relative humidity (30%, 40%, 50%, 60%, 70% and 80%) are considered in the CFD code to explore the influence of the relative humidity on the indoor radon concentration. The temperature and air exchange rate were set at 24°C and 0.5 to 1 h− 1, respectively. By applying these assumptions and running the code, the results of the CFD model as well as the relationship between the relative humidity and average indoor radon concentrations (Bq m− 3) in the room were plotted in Fig. 6 (A-B). This was simulated at two different air exchange rates to present the effect of the relative humidity on the indoor radon concentration. Accordingly, it can be seen that by increasing the relative humidity from 30–50%, the average indoor radon concentration was reduced by approximately 5% and then started to rise by increasing the relative humidity. Therefore, this clearly indicates that the relative humidity influences both the radon concentration and distribution.
3.3. Validation of the simulations results with Passive and Active indoor radon measurements
In this survey, Raduet and NRPB detectors based on solid-state nuclear track detectors (SSNTDs) were used to make the passive measurements and were hung on three horizontal planes in the investigated test room for 45 days, which were defined as Z = 0.2, 1.0 and 1.8 m above the ground as well as positioned at least 20 cm away from any of the wall surfaces. The plane at a height of 1.0 m above the ground was regarded as the breathing zone for a standing adult. After exposure, all the detectors were washed with distilled water and dried before being chemically etched. The etching conditions for CR-39 were as follows: a solution of 6.0 M NaOH at a temperature of 90℃ for 3 hours. The track densities were counted using an optical transmission microscope and image analysis software [4]. The calibration factors were also determined as a result of exposure tests in radon calibration chambers at the Institute of Radiochemistry and Radioecology at the University of Pannonia in Hungary as comprehensively described by Adelikhah et al. (2020) [3]. In the case of the active measurements, an AlphaGUARD PQ2000 PRO monitor and RAD7 radon-thoron detector made by DURRIDGE, USA were also used to continuously measure the radon concentration at different positions in the room in the open- and closed-door scenarios. The AlphaGUARD PQ2000 PRO monitor works as an alpha spectrometer using an ionization chamber. The device was used in the diffusion mode over 60-min cycles for 24 h and the resulting time-averaged value was assumed to be the radon concentration. The RAD7 detector was set to a cycle time of 1 day mode. Furthermore, the active detectors were equipped with integrated sensors to measure the temperature, relative humidity and atmospheric pressure.
The measured values of the radon concentration according to active and passive methods were compared with CFD predictions at the same points. The comparisons are presented in Tables 2 and 3 in the open- and closed-door scenarios, respectively. Accordingly, the average indoor radon concentrations measured by the AlphaGUARD and RAD7 detectors, for instance, at a height of 1.0 m above the ground in the open-door scenario (regarded as the breathing zone for a standing adult) were 77 Bqm− 3 and 81 Bqm− 3, respectively, which exhibit a relative deviation of approximately 7% and 2% (Relative deviation =\((\left(\left|\text{M}\text{e}\text{a}\text{s}\text{u}\text{r}\text{e}\text{m}\text{e}\text{n}\text{t}-\text{C}\text{F}\text{D} \text{p}\text{r}\text{e}\text{d}\text{i}\text{c}\text{t}\text{i}\text{o}\text{n}\right|\right)\)/CFD prediction). Regarding the passive measurements according to the Raduet and NRPB detectors, the corresponding average indoor radon concentrations were measured as 68 and 64 Bqm− 3, respectively with corresponding relative deviations of approximately 17% and 23%. However, in the closed-door scenario, the corresponding relative deviation was higher. Furthermore, the highest relative deviation of 39% was measured by the NRPB detectors from 20 cm above the ground in the closed-door scenario. As a result, it can be observed that both experimental results and simulations somehow yielded a similar trend, that is, the radon concentration reduced as the distance from the ground increased. Furthermore, based on the deviations, the average indoor radon concentrations predicted from the CFD code were seen to be closer to the experimental values with the exception of point A in both scenarios due to the poor air circulation resulting in the accumulation of radon at that point. Correspondingly, the results of the CFD simulations are in good agreement with the experimental measurements.
Table 2
Comparison of the CFD results with those obtained by active and passive measurement techniques at different levels in the open-door scenario when ACH = 1 h− 1
Z (cm)
|
Device
|
(X,Y) coordinate
|
Center
|
Average
|
A (2.9,0.1)
|
B (0.1,0.1)
|
C (0.1,3.9)
|
D (2.9,3.9)
|
20
|
Alphagaurd
|
119
|
112
|
81
|
58
|
84
|
91
|
RAD7
|
110
|
103
|
84
|
51
|
89
|
87
|
Raduet
|
88
|
73
|
66
|
62
|
--
|
72
|
NRPB
|
74
|
60
|
69
|
55
|
--
|
65
|
Simulation
|
163
|
115
|
65
|
46
|
76
|
93
|
100
|
Alphagaurd
|
92
|
102
|
67
|
55
|
70
|
77
|
RAD7
|
109
|
93
|
71
|
58
|
74
|
81
|
Raduet
|
66
|
83
|
61
|
63
|
--
|
68
|
NRPB
|
71
|
69
|
59
|
56
|
--
|
64
|
Simulation
|
154
|
98
|
50
|
52
|
57
|
82
|
180
|
Alphagaurd
|
--
|
--
|
--
|
--
|
--
|
--
|
RAD7
|
--
|
--
|
--
|
--
|
--
|
--
|
Raduet
|
65
|
68
|
55
|
60
|
--
|
62
|
NRPB
|
63
|
58
|
60
|
55
|
--
|
59
|
Simulation
|
199
|
117
|
49
|
50
|
61
|
95
|
Table 3
Comparison of the CFD results with those obtained by active and passive measurement techniques at different levels in the closed-door scenario when ACH = 1 h− 1
Z (cm)
|
Device
|
(X,Y) coordinate
|
Center
|
Average
|
A (2.9,0.1)
|
B (0.1,0.1)
|
C (0.1,3.9)
|
D (2.9,3.9)
|
20
|
Alphagaurd
|
93
|
109
|
74
|
63
|
91.5
|
86
|
RAD7
|
120
|
99
|
82
|
66
|
95.8
|
92
|
Raduet
|
88
|
79
|
58
|
65
|
--
|
73
|
NRPB
|
77
|
65
|
72
|
59
|
--
|
68
|
Simulation
|
224.43
|
133.41
|
68.57
|
54.42
|
82.35
|
112
|
100
|
Alphagaurd
|
110
|
108
|
61
|
63
|
84.6
|
85
|
RAD7
|
119
|
105
|
68
|
61
|
77.1
|
86
|
Raduet
|
89
|
92
|
66
|
74
|
--
|
80
|
NRPB
|
76
|
66
|
58
|
63
|
--
|
65
|
Simulation
|
170.7
|
140.18
|
51.33
|
45.3
|
65.59
|
95
|
180
|
Alphagaurd
|
--
|
--
|
--
|
--
|
--
|
--
|
RAD7
|
--
|
--
|
--
|
--
|
--
|
--
|
Raduet
|
75
|
95
|
64
|
57
|
--
|
73
|
NRPB
|
77
|
80
|
58
|
66
|
--
|
69
|
Simulation
|
110.12
|
121.21
|
52.3
|
46.23
|
59.17
|
79
|