On the solution of linear diffusion problems in media with moving boundaries

Journal Article · Mon Dec 01 04:00:00 EST 1980 · Nucl. Sci. Eng.; (United States)

OSTI ID:6816309

Leite, S B; Ozisik, M N; Verghese, K

A generalized integral transform technique is used to obtain various order analytical solutions to the problems of linear diffusion of radioactive atoms in an eroding slab, cylinder, or sphere subjected to a general boundary condition of the third kind. The zeroth- and first-order solutions obtained in this manner are compared with the exact solution; the results are highly accurate for most practical cases. The proposed technique is sufficiently versatile to cover a variety of heat and mass transfer problems in media with moving boundaries.

• Research Organization: North Carolina State University Departments of Nuclear and Mechanical and Aerospace Engineering Raleigh, North Carolina 27650
• OSTI ID: 6816309
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 76:3; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
ACCURACY
ANALYTICAL SOLUTION
ATOMS
BOUNDARY CONDITIONS
CYLINDERS
DIFFUSION
ENERGY TRANSFER
EROSION
HEAT TRANSFER
INTEGRAL TRANSFORMATIONS
MASS TRANSFER
MATERIALS
MOVING-BOUNDARY CONDITIONS
RADIOACTIVE MATERIALS
SLABS
SPHERES
TRANSFORMATIONS