In the equation and matrix below, D is the diffusion coefficient for neutrons, S is the radiation source emission rate.

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In The Equation And Matrix Below D Is The Diffusion Coefficient For Neutrons S Is The Radiation Source Emission Rate 1 (38.65 KiB) Viewed 53 times

In the equation and matrix below, D is the diffusion coefficient for neutrons, S is the radiation source emission rate. Ez is the macroscopic absorption coefficient, and o is the flux, which is what we are trying to calculate. The matrix was derived by discretizing the non-multiplying slab into a number of nodes. n. that results in n linear equations. Further, the fundamental theorem of calculus was used to replace the integrals with numerical equations at each node. To solve for the flux, simply solve this matrix equation in Python (no eigenvalues or vectors). Then plot your solution and compare it to the analytical solution. See the provided Python script for the analytical solution. Properly format the plot, including a legend and use large point markers for numerical solution, for grading purposes Σ -D Ax2 d20 Ax = 2.5 -D S. -D Σα + + Σαφ = 0 Ax2 Ax2 Δx? D=9 -D -D Σ. + Ax2 Ax? Δx? Ea = 0.15 cm -1 Σα + Ap A® = Ax? Ax? So = 108 0 D + Δx2 -D 2D 0 Ст* dx2 2AX 01 02 centen 2D S 0 0 -D 2D 0 n =