Deposition of radioactive admixture on aerosol nano particles

The paper develops a model of the process of radioactive impurities deposition on aerosol particles of various sizes. For this purpose, the following problem was solved; aerosol particles are introduced into a gas system in which there is a source of radioactivity and radioactive atoms are uniformly distributed over space. It is assumed that when these radioactive atoms collide with particles, these atoms are deposited on the particles and transfer their activity to them. These processes lead to the distribution of the radioactive impurity on the particles. To find this distribution function, a system of differential equations describing the process was solved by introduction generation function. The characteristic times for the systems to reach the stationary regime were determined, and the distributions for the stationary regime were obtained. To illustrate the results obtained, an example for monodisperse aerosol particles that collide with radioactive atoms with the same decay constant has been discussed. At the same time the distribution function was obtained by numerical methods. Numerical and exact solutions are coincided. It must also be noted that the problem can be generalized to particles with a polydisperse distribution and to a system of atoms with different decay constants using numerical solution. The proposed method can be used both for radioactive systems operating in normal mode and for emergency situations. • Model developed for radioactive deposition on aerosol particles of varying sizes. • Analytical and numerical solutions match; stationary distributions obtained. • Method extends to polydisperse particles and multiple decay constants.