An analytic benchmark solution to the linear, time-dependent multiregion isothermal slug flow fission-product plateout problem

The analytic solution to the time-dependent, linear, convective-diffusion equation with radioactive decay is derived for axisymmetric slug flow through multiple materials in a cylindrical pipe under isothermal conditions. The Davidson variable metric minimization algorithm is used to determine the coupling coefficients: These solutions, which describe the transport of fission products in a flowing stream, are then used to determine the concentration of radioactive material deposited on a conduit wall and on the adsorber materials using a standard mass-transfer model. (author)