Liquids are transferred through nonporous polymers provoking a change in dimension. A mathematical treatment of the process of radial diffusion through a sphere with consequent change in dimension is made, as well as a numerical treatment of the process. The case is considered when the concentration of the liquid on the surface is constant during absorption and then the surrounding fluid is of finite volume and strongly stirred during the stage of desorption. The kinetics of absorption-desorption histories are calculated for various values of the volume expansion due to the presence of liquid. The profiles of concentration as well as the kinetics of change in dimension are also evaluated. Two parameters are introduced : the maximum of the volume expansion of the polymer and the ratio between the amount of liquid in the polymer and that contained in the surrounding at the final equilibrium of desorption.