Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations

Table 1

Parameters of three-dimensional homogeneous reactor [11].

Parameter	Group 1	Group 2
Diffusion coefficient 𝐷(cm)	1.35	1.08
Absorption cross-section Σ𝑎(cm^−1)	0.001382	0.0054869
Neutron fission 𝜈 (neutron)	2.41	2.41
Fission cross-section Σ𝑓(cm^−1)	0.000242	0.00408
Scattering cross-section Σ𝑠𝑔,𝑔+1(cm^−1)	0.0023	0.0
Velocity 𝑣(cm/s)	3.0×10^7	2.2×10^5
Decay constant 𝜆(s^−1)	0.08
Fraction of delayed neutron 𝛽	0.0064
𝐾eff	0.8952858