Mathematical multi-scale model of water purification
Permanent link
https://hdl.handle.net/10037/31834Date
2023-07-13Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
In this work, we consider a mathematical model of the water treatment process and determine the effective characteristics of this model. At the microscopic
length scale, we describe our model in terms of a lattice random walk in a
high-contrast periodic medium with absorption. Applying then the upscaling
procedure, we obtain the macroscopic model for total mass evolution. We discuss both the dynamic and the stationary regimes and show how the efficiency
of the purification process depends on the characteristics of the macroscopic
model.
Publisher
WileyCitation
Piatnitski, Shamaev, Zhizhina. Mathematical multi-scale model of water purification. Mathematical Methods in the Applied Sciences. 2023Metadata
Show full item record
Copyright 2023 The Author(s)