Recasting Navier-Stokes equations

M. H. Lakshminarayana Reddy, Kokou Dadzie, Raffaella Ocone, Matthew K. Borg , Jason M. Reese

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
77 Downloads (Pure)

Abstract

Classical Navier-Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on transforming the fluid mass velocity vector field to obtain a new class of continuum models. We uncover a class of continuum models which we call the re-casted Navier-Stokes. They naturally exhibit the physics of previously proposed models by different authors to substitute the original Navier-Stokes equations. The new models unlike the conventional Navier-Stokes appear as more complete forms of mass diffusion type continuum flow equations. They also form systematically a class of thermo-mechanically consistent hydrodynamic equations via the original equations. The plane wave analysis is performed to check their linear stability under small perturbations, which confirms that all re-casted models are spatially and temporally stable like their classical counterpart. We then use the Rayleigh-Brillouin scattering experiments to demonstrate that the re-casted equations may be better suited for explaining some of the experimental data where original Navier-Stokes fail.
Original languageEnglish
Article number105009
JournalJournal of Physics Communications
Volume3
Issue number10
DOIs
Publication statusAccepted/In press - 7 Oct 2019

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