LUIS ESPATH LUIS.ESPATH@NOTTINGHAM.AC.UK
Assistant Professor
On the control volume arbitrariness in the Navier-Stokes equation
Espath, Luis
Authors
Abstract
We present a continuum theory to demonstrate the implications of considering general tractions developed on arbitrary control volumes where the surface enclosing it lacks smoothness. We then tailor these tractions to recover the Navier-Stokes-αβ equation and its thermodynamics. Consistent with the surface balances postulated to propose this theory, we provide an alternative approach to derive the natural boundary conditions.
Citation
Espath, L. (2021). On the control volume arbitrariness in the Navier-Stokes equation. Physics of Fluids, 33(1), Article 015110. https://doi.org/10.1063/5.0037468
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 16, 2020 |
Online Publication Date | Jan 7, 2021 |
Publication Date | 2021-01 |
Deposit Date | Jul 31, 2023 |
Journal | Physics of Fluids |
Print ISSN | 1070-6631 |
Electronic ISSN | 1089-7666 |
Publisher | American Institute of Physics |
Peer Reviewed | Peer Reviewed |
Volume | 33 |
Issue | 1 |
Article Number | 015110 |
DOI | https://doi.org/10.1063/5.0037468 |
Keywords | Condensed Matter Physics; Fluid Flow and Transfer Processes; Mechanics of Materials; Computational Mechanics; Mechanical Engineering |
Public URL | https://nottingham-repository.worktribe.com/output/22186752 |
Publisher URL | https://pubs.aip.org/aip/pof/article-abstract/33/1/015110/1061119/On-the-control-volume-arbitrariness-in-the-Navier?redirectedFrom=fulltext |
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