Semi-analytic flux formulas for shielding calculations

Technical Report · Tue Jun 01 04:00:00 EDT 1976

DOI:https://doi.org/10.2172/7342068· OSTI ID:7342068

Wallace, O J

A special coordinate system based on the work of H. Ono and A. Tsuro has been used to derive exact semi-analytic formulas for the flux from cylindrical, spherical, toroidal, rectangular, annular and truncated cone volume sources; from cylindrical, spherical, truncated cone, disk and rectangular surface sources; and from curved and tilted line sources. In most of the cases where the source is curved, shields of the same curvature are allowed in addition to the standard slab shields; cylindrical shields are also allowed in the rectangular volume source flux formula. An especially complete treatment of a cylindrical volume source is given, in which dose points may be arbitrarily located both within and outside the source, and a finite cylindrical shield may be considered. Detector points may also be specified as lying within spherical and annular source volumes. The integral functions encountered in these formulas require at most two-dimensional numeric integration in order to evaluate the flux values. The classic flux formulas involving only slab shields and slab, disk, line, sphere and truncated cone sources become some of the many special cases which are given in addition to the more general formulas mentioned above.

• Research Organization: Bettis Atomic Power Lab., West Mifflin, Pa. (USA)
• OSTI ID: 7342068
• Report Number(s): WAPD-TM-1197
• Country of Publication: United States
• Language: English

Related Subjects

07 ISOTOPE AND RADIATION SOURCES
654002* -- Radiation & Shielding Physics-- Shielding Calculations & Experiments-- (-1987)
655002 -- Medical Physics-- Radiation Source Calibration & Standardization
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANNULAR SPACE
CONFIGURATION
CONICAL CONFIGURATION
CYLINDRICAL CONFIGURATION
DOSES
RADIATION DOSES
RADIATION FLUX
RADIATION SOURCES
RECTANGULAR CONFIGURATION
SHIELDING
SLABS
SPHERICAL CONFIGURATION
TOROIDAL CONFIGURATION
TWO-DIMENSIONAL CALCULATIONS