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EFFICIENT BOUNDARY CONDITIONS ON THE SURFACES OF THIN CYLINDRICAL BODIES AND ON THE BOUNDARIES OF HOLLOW CYLINDRICAL CHANNELS

V. A. Starkov, I. F. Polivanov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. Вып.4. С. 16-28.

Efficient boundary conditions for the surface of thin (d << h) cylindrical rod placed into a decelerating environment are formulated. The neutron beam flow rate in the decelerator is described by the transport equation in the P1-approximation; at that it is supposed that the azimuth dependence of the neutron flow rate located on the rod surface is present. Similar problem is solved for a cylindrical channel with account for the neutron flow rate dependence on the channel height and perimeter. Analytical expressions and tabular function values included into the boundary conditions are given in the paper.

Keywords: research reactors, transport equation P1-approximation, interactions matrix, Bessel function, neutron flow density, albedo.







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