Abstract
AbstractThe problem of oxygen and ethylene diffusion in the framework of classical Fick’s law are considered. It is assumed that the material is placed in a limited sealed container. This leads to the need to take in account the parameters of the gas in the free volume. The problem has a non-stationary and nonlinear character. The temperature of the medium is assumed to be constant. Numerical results describing the process of oxygen evacuation from polyethylene and the process of ethylene diffusion into the material are obtained. The problem of ethylene diffusion is solved for the case of the formation of molecular bonds during gamma-ray irradiation due to absorbed ethylene. The finite element method was used to solve the problems. The main characteristics of the noted processes are determined. The results are of practical value for determining the irradiated time of polyethylene, which provides the required level of crosslinking of macromolecules.KeywordsPolyethyleneGas diffusionGas limit concentrationFick’s second lawBoundary conditionsEthylene absorptionOxygen degasification degassing time
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