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The Complete Solution of the One‐Velocity Diffusion Problem at Intermediate and Large Distances

 

作者: Lewi Tonks,  

 

期刊: Journal of Applied Physics  (AIP Available online 1952)
卷期: Volume 23, issue 10  

页码: 1085-1088

 

ISSN:0021-8979

 

年代: 1952

 

DOI:10.1063/1.1701990

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An approximate evaluation of the branch‐cut integral which occurs in the rigorous solution of the Boltzmann equation for intermediate and large distances is of importance in shielding problems. Such an evaluation leads to Eq. (20) for the point source and Eq. (24) for the plane source. Equation (20) is actually 23 percent high for zero absorption (f=0) andr&sgr;=7, but the error decreases with increasingr&sgr; andf. It is seen that the branch‐cut term is not simply the contribution of noncollided neutrons.Figure 2 is a plot of the region in thef−r&sgr; plane where the two terms are comparable.

 

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