Mathematical description of intensified processes for extracting technological contaminants from flat fibrous materials

A boundary value problem is formulated for the extraction process of technological contaminants from flat textile materials - the washing process. The process is one of the most common energy and resource-intensive mass transfer processes in the chemical technology of finishing in textile industry. For the practical implementation of the pulse effect selected for intensification, including ultrasonic one, it is necessary to determine the operating and design parameters of the process, which is possible on the basis of an appropriate mathematical description. The proposed model takes into account the effect of ultrasonic action on the object being washed. The solution to this problem is obtained in the form of a functional series. On the basis of the developed mathematical model, it is possible to estimate the diffusion coefficient of the distributed component in the textile material.