### Abstract

Original language | English |
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Journal | Journal of Physics Communications |

Early online date | 7 Oct 2019 |

DOIs | |

Publication status | E-pub ahead of print - 7 Oct 2019 |

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### Cite this

*Journal of Physics Communications*. https://doi.org/10.1088/2399-6528/ab4b86

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*Journal of Physics Communications*. https://doi.org/10.1088/2399-6528/ab4b86

**Recasting Navier-Stokes equations.** / Lakshminarayana Reddy, M. H.; Dadzie, Kokou; Ocone, Raffaella; Borg , Matthew K.; Reese, Jason M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Recasting Navier-Stokes equations

AU - Lakshminarayana Reddy, M. H.

AU - Dadzie, Kokou

AU - Ocone, Raffaella

AU - Borg , Matthew K.

AU - Reese, Jason M.

PY - 2019/10/7

Y1 - 2019/10/7

N2 - 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.

AB - 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.

U2 - 10.1088/2399-6528/ab4b86

DO - 10.1088/2399-6528/ab4b86

M3 - Article

JO - Journal of Physics Communications

JF - Journal of Physics Communications

SN - 2399-6528

ER -