Model of a motion of substance in a channel of a network consisting of two arms

TL;DR

This paper models the stationary flow of a substance in a two-arm network channel, deriving analytical formulas for substance distribution, with implications for technological systems like water flow in complex facilities.

Contribution

It introduces an analytical model for substance motion in a two-arm network channel, expanding understanding of flow distribution in such systems.

Findings

Analytical relationships for substance distribution in network nodes.

Discussion of technological applications of the model.

Insights into stationary flow behavior in two-arm channels.

Abstract

We study the problem of the motion of substance in a channel of a network for the case of channel having two arms. Stationary regime of the flow of the substance is considered. Analytical relationships for the distribution of the substance in the nodes of the arms of the channel are obtained. The obtained results are discussed from the point of view of technological applications of the model (e.g., motion of substances such as water in complex technological facilities).