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Conservation of acceleration and dynamic entanglement in mechanics.
- Source :
-
Acta Mechanica . Nov2023, Vol. 234 Issue 11, p5511-5541. 31p. - Publication Year :
- 2023
-
Abstract
- Within a flow of a viscous fluid the effects of compression and viscosity are closely coupled with inertia. Discrete mechanics gives a physical sense of these interactions by showing that they exist only in a dynamic vision where the variation of the velocity in time generates the entanglement of the effects of compression and shearing. These two phenomena are described in the form of a Helmholtz–Hodge decomposition by two orthogonal terms within the discrete equation of motion, the first curl-free and the second divergence-free. They can only exchange mechanical energy if the acceleration is nonzero. This entanglement, which occurs at all spatial scales, is a function of longitudinal and transverse celerities. After a presentation of the formal framework, simple examples allow to understand the temporal shifts of direct and induced flows in accordance with the causality principle. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00015970
- Volume :
- 234
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Acta Mechanica
- Publication Type :
- Academic Journal
- Accession number :
- 173150040
- Full Text :
- https://doi.org/10.1007/s00707-023-03682-4