Upgraded tritium release model for run 3
Salt volume
IV bubbler
OV bubbler
S = \Gamma_n \cdot \mathrm{TBR}
A_\mathrm{OV} \ k_\mathrm{OV} \ c_\mathrm{salt}
A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt}
Salt volume
IV metal surfaces
OV metal surfaces
IV bubbler
OV bubbler
S = \Gamma_n \cdot \mathrm{TBR}
A_\mathrm{OV} \ k_\mathrm{OV} \ c_\mathrm{salt}\ c_\mathrm{H2}
(1-f) \ A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt}
f \ A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt}
k_\mathrm{exchange,IV} \ I_\mathrm{piping, IV} \ c_\mathrm{H2}
k_\mathrm{exchange,OV} \ I_\mathrm{piping, OV} \ c_\mathrm{H2}
V_\mathrm{salt} \frac{dc_\mathrm{salt}}{dt} = \mathrm{TBR} \ \Gamma_n -A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt} -A_\mathrm{OV} \ k_\mathrm{OV}\ c_\mathrm{salt} \ c_\mathrm{H2}
\frac{dI_\mathrm{piping,IV}}{dt} = f \ A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt} -k_\mathrm{exchange,IV} \ I_\mathrm{piping, IV} \ c_\mathrm{H2}
\frac{dI_\mathrm{piping,OV}}{dt} = -k_\mathrm{exchange,OV} \ I_\mathrm{piping, OV} \ c_\mathrm{H2}
c_\mathrm{H2} = \begin{cases}
1 , \quad \text{if } t > t_\mathrm{H2}\\
0, \quad \text{otherwise}
\end{cases}
System of coupled ODEs
Solved using pathsim
c_\mathrm{salt}(t=0) = 0\\
I_\mathrm{piping,IV}(t=0) \approx 10 \ \mathrm{Bq}\\
I_\mathrm{piping,OV}(t=0) \approx 4 \ \mathrm{Bq}
H2 switch
H2 switch
H2 switch
Salt volume
IV metal surfaces
OV metal surfaces
IV bubbler
OV bubbler
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
(1-\eta) \Gamma_\mathrm{in}
Salt volume
IV metal surfaces
OV metal surfaces
IV bubbler
OV bubbler
S = \Gamma_n \cdot \mathrm{TBR}
(1-f_\mathrm{sticking, OV}) A_\mathrm{OV} \ k_\mathrm{OV} \ c_\mathrm{salt}
(1-f_\mathrm{sticking, IV}) \ A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt}
f_\mathrm{sticking, IV} \ A_\mathrm{IV} \ k_\mathrm{IV} \ c_\mathrm{salt}
k_\mathrm{exchange} \ I_\mathrm{piping, IV} \ c_\mathrm{H2}
k_\mathrm{T2} \ I_\mathrm{piping, IV}^2
IV gas
OV gas
\frac{I_\mathrm{gas, IV}}{\tau_\mathrm{IV \ gas}}
\frac{I_\mathrm{gas, OV}}{\tau_\mathrm{OV \ gas}}
k_\mathrm{exchange} \ I_\mathrm{piping, OV} \ c_\mathrm{H2}
k_\mathrm{T2} \ I_\mathrm{piping, OV}^2
f_\mathrm{sticking, OV} \ A_\mathrm{OV} \ k_\mathrm{OV} \ c_\mathrm{salt}
Run 3
Run 3
Run 3
Run 6
Run 12
Upgraded tritium release model for run 3
By Remi Delaporte-Mathurin
