Mathematical Problems in Engineering

Research Article

A MATLAB-Linked Solver to Find Fuel Depletion in a PWR, a Suggested VVER-1000 Type

Table 1

Constant values for solving (2.1) in 500°C temperature and media with one liquid hydrogen density. Also, it is supposed that there are equal concentrations of deuterium and tritium in the media.
Process Parameter Value
Relative concentration of deuterium 𝑐 𝑑 0.5
Relative concentration of tritium 𝑐 𝑡 0.5
Muon decay constant 𝜇 0 0 . 4 5 5 × 1 0 6 s − 1
Muonic-atom formation rate 𝜆 𝑎 1 × 1 0 1 0 s − 1
Media ion density 𝜙 𝑚 Liquid hydrogen density
Sticking coefficient 𝜔 𝑠 0.008
Fusion rate of 𝑑 𝑡 𝜇 molecule 𝜆 𝑓 𝜇 𝑑 𝑡 1 . 1 × 1 0 1 2 s − 1
Formation rate of 𝑑 𝑡 𝜇 molecule 𝜆 𝜇 𝑑 𝑡 2 . 8 × 1 0 8 s − 1
Time of leakage 𝜏 7 . 0 8 × 1 0 − 7 s
Muon exchange rate between 𝑑 𝜇 and 𝑡 𝜇 atoms 𝜆 𝑑 𝑡 1 × 1 0 1 0 s − 1