A mathematical model of the erosion process in a channel bend

We develop a mathematical model for the cumulative erosion of micro-particle in channel system. At 90∘ bends system, particle may deviate from flow, impact wall, and erode material. highlight case eroded material adhering to particle, growing size, thus demonstrate how damage accumulates exponentially with time. describe quantify statistical nature evolution growth (mass location). perform this analysis according number realistic concentration distributions: uniform, Gaussian, bimodal. A bimodal distribution, corresponding tubular pinch effect suspension flows, results unequal peak zones due flow characteristics.