Mass exchange in two-layer medium moving through the narrow cylindrical channel

Abstract

This work further develops previous studies devoted to numerical modeling of diffuse mass transfer in narrow pore channels. The problem of diffusion in a two-layer liquid moving through narrow cylindrical channel, into which a neutral component, which does not interact with heterogeneous inclusions, diffuses, is considered. The dispersion carrier fluid moves close to the wal, while a reologically complicated two-phase medium occupies most of the channel. During the flow of a fine-dispersed concentrated suspension in a quasi-balanced condition, the reological properties of the medium were accepted as parameters of some homogenous liquid, which can be deemed an adequate approximation. This model can be used for some situations of flow in the chanal of fluid bodies which are capillary-porous and broken, such as those that contain muddy or clay inclusions. Similar mathematical models can be applied to paste sliding flows because of poor capillary fluid fixation. In this paper, two cases are considered. In the first scenario, a portion of the channel midsection is exceeded by the diffusing component. In the second, this component in the same location exits the channel. The non-stable problem is numerically solved before the creation of the stationary state. The installation procedure was monitored up to the fifth decimal digit. The resulting solution determines the concentration fields of the diffuse component. It is demonstrated that distribution of the diffuse component concentration in the working area is influenced by the rate of the medium speed; diffuse flow through the wall, and effective diffusion coefficient. In this work, the case is considered when there is no interaction between the diffusing component and the dispersed medium. However, the interaction of these components of the medium in soils, biological systems, and natural layers containing organic inclusions is of great interest. Therefore, accounting of adsorption properties of the dispersed medium in relation to the elements involved in mass exchange can be in the focus of future study. Taking into account large-scale metabolic processes, such as those in blood in the veins, is crucial in many practically significant circumstances.