Strong alignment of micro-rotation and vorticity in 3D micropolar flows<sup>*</sup>
Abstract Rigid particles suspended on a micropolar fluid provide microstructure that coexists and interacts with the local rotation of the fluid given by the vorticity. In this work we prove that the particles’ angular velocity and the vorticity strongly align for large times. We provide average and supnorm estimates for the decay rate of the difference between these two vectors, which measures the alignment.
Authors
- Cilon Perusato (ORCID: https://orcid.org/0000-0001-6275-4658)
- Paulo R. Zingano (ORCID: https://orcid.org/0000-0002-5074-9146)
- Wilberclay G. Melo
- Robert Guterres (ORCID: https://orcid.org/0000-0001-8925-1137)
- César J. Niche (ORCID: https://orcid.org/0000-0002-6296-7319)
Institutions
- Universidade Federal do Rio de Janeiro (BR)
- Universidade Federal do Rio Grande do Sul (BR)
- Instituto Nacional de Matemática Pura e Aplicada (BR)
- Universidade Federal de Sergipe (BR)
- Universidade Federal de Pernambuco (BR)
Publication Details
- Journal
- Nonlinearity
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1088/1361-6544/ad953c
- Citations
- 1
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.37
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco