Calculation of the neutron distributions in complex heterogeneous nuclear reactor cells by the imbedded element method
A METHOD is described of calculating multidimensional neutron distributions, described by the gas-kinetic equation in V. S. Vladimirov’s form, in heterogeneous cells with a complex geometry of the internal and external boundaries. By means of a special choice of the spatial coordinate functions and the method of L. V. Kantorovich, the problem is reduced to the solution of a transport equation of integral form with respect to the scalar neutron flux density. Distinguishing features of the proposed method are: the absence of iterations with respect to the scattering integral and boundary conditions, the possibility of taking into account practically arbitrary geometry of the cell structure, and economy of the numerical algorithm in its realization by computer. The method is intended for the calculation of two and three-dimensional cells of power reactors and assemblies of various types.
Abstract Composites with aluminium alloy matrix and ceramic reinforcements are popular candidates in automotive, aerospace, defense and other industries because of their high strength-to-weight ratio, stiffness, impact strength, wear resistance, etc. In the present study AA 5083 / Nano SiC composite were fabricated by stir casting. A 2-level Full Factorial design of experiments (DOE) was used to study the influence of process parameters like casting temperature, stirrer speed, and weight percent of reinforcement on hardness of composites. Mathematical model was developed to investigate which parameters significantly affect the hardness of composites. The effect of parameters on the response and adequacy of hardness model developed were tested by employing ANOVA and Fisher’s F-test. This model can be used to select the optimum process parameters for obtaining the composites hardness within the range of experimental frame work.