Homework 23 Solution

# Homework 23 Solution - Homework 23 Solutions Due Wednesday...

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Homework 23 Solutions Due: Wednesday 4/7 Estimate the fluxes and the currents in the following situations, in a diffusing medium with diffusion coefficient D = 1 cm, and macroscopic absorption cross-section equal to 0.1 cm -1 . 1. At the center of a line of length ‘ l = 100 cm’ with sources of strength S = 10 10 n sec at each end. 2. An equilateral triangle of side length ‘ l = 100 cm’ at the center and at the midpoint of one side, where neutron sources of strengths S = 10 10 n sec are placed at each one of the vertices. In a medium, flux is given by the expression: φ = Se r L 4 π rD and is added as a scalar In a medium, Fick’s law applies and current is given by: J = D = D d dr Se r L 4 rD = SD 4 D e r L ⋅ − 1 L 1 r + e r L ⋅ − 1 r 2 J = Se r L 4 r 1 L + 1 r Additionally, 1. S S

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Homework 23 Solution - Homework 23 Solutions Due Wednesday...

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