CRITICAL SIZE OF A SLAB REACTOR WITH NEUTRON TRANSPORT THEORY OF THE TRIPLET ANISOTROPIC SCATTERING
Abstract
Critical thickness for one-group energy neutrons are determined for the triplet anisotropic-scattering in plane geometry by using Legendre polynomials of PN method, and Chebyshev polynomials of first type, TN method. Triplet anisotropic scattering is the fourth term of the scattering function. The neutron flux moments in the neutron transport equation comprises the eigenfunction of the neutron flux. By solving the eigenfunctions, the eigenvalues are obtained from Chebyshev polynomial solution. The resultant neutron flux equation composes of the eigenfunction, Chebyshev polynomial term and the number of secondary neutrons “c”. The solution of the eigenvalues gives imaginary root for c is smaller than one. So in this study we study with bigger than one c values. The critical size of the system is found by the Mark boundary condition. The critical size is calculated for different scattering types. The relations are presented in the following tables. It is seen that our results are compatible with the existing literature.
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References
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