On the collective effect of a large system of heavy particles immersed in a Newtonian fluid
Year: 2024
Type: preprint
Abstract: We consider the motion of a large number of heavy particles in a Newtonian fluid occupying a bounded spatial domain. When we say "heavy", we mean a particle with a mass density that approaches infinity at an appropriate rate as its radius vanishes. We show that the collective effect of heavy particles on the fluid motion is similar to the Brinkman perturbation of the Navier-Stokes system identified in the homogenization process.
Source: arXiv (Cornell University)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: Alexander von Humboldt-Stiftung, Ministerul Cercetării, Inovării şi Digitalizării, Eusko Jaurlaritza, Akademie Věd České Republiky, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii, Basque Center for Applied Mathematics, Agencia Estatal de Investigación
OpenAlex ID: W7110614516