On the control volume arbitrariness in the Navier-Stokes equation

Espath, Luis

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