Research on Modeling Method and Eigenvalue Calculation of Single Dispersion of Fuel Particles

Abstract

Dispersed particle fuel is an advanced form of fuel with many advantages, which is safer than traditional fuel. But a strong double heterogeneity effect is formed, due to the random dispersion of fuel particles in the matrix. The homogenization and uniform distribution approximation models will thus leads to severe errors. In order to account for the influence of the double heterogeneity effect, a homogenization model, a uniform dispersion model and a random dispersion model are constructed in this paper. Then the MCX program was used for calculation, and the fuels were compared and analyzed, subject to high fuel phase volume and different enrichment. The effect of particle diameter variation on the eigenvalues of the system is revealed, and the errors introduced by the model approximation are also evaluated. It is demonstrated by the results that the double heterogeneity is negligible when the diameter of the fuel particles is less than 100μm. However, the double inhomogeneous effect is relatively enhanced under large diameter fuel particles and low enrichment, which requires high-precision calculations. This paper has a certain reference significance for the evaluation of the double heterogeneity effect of the dispersed particle fuel and the correction of the traditional homogenization calculation.