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238056 results in Physics and Astronomy

Page 214 of 11903

  • 10 - Flow properties

  • from Part 2 - Hydrodynamics of Complex Flows
  • Ye Zhou, Lawrence Livermore National Laboratory, California
  • Book:
    Hydrodynamic Instabilities and Turbulence
    Published online:
    27 June 2024
    Print publication:
    19 December 2024, pp 183-213

  • Summary

    There are a number of microphysics and transport processes that can be extremely important to suppress or enhance the growth of these instabilities. I will provide a detailed description of how the hydrodynamic instability evolutions can be modified by incorporating the viscosity, surface tension, diffuse interface, and compressibility of the flows into the governing equations and growth rates.

  • 22 - Mixmodels

  • from Part 3 - From the Microscopic to Cosmic Scales
  • Ye Zhou, Lawrence Livermore National Laboratory, California
  • Book:
    Hydrodynamic Instabilities and Turbulence
    Published online:
    27 June 2024
    Print publication:
    19 December 2024, pp 457-476

  • Summary

    Despite the intensive efforts to develop increased computational capabilities, mix models remain the most viable approach for the solution of many applications. These are an approximation to the true solution of the Navier-Stokes equations. The reason for this state of affairs becomes abundantly clear when one considers the difficulties of achieving the desired turnaround time for applied fluid dynamics calculations. In this chapter, we focus on some of the methodologies currently utilized to tackle the practical problem of simulating hydrodynamic instabilities in engineering designs.

  • Scaling laws and mechanisms of hydrodynamic dispersion in porous media

  • Yang Liu, Han Xiao, Tomás Aquino, Marco Dentz, Moran Wang
  • Journal:
    Journal of Fluid Mechanics / Volume 1001 / 25 December 2024
    Published online by Cambridge University Press:
    19 December 2024, R2
    • Article
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  • We present a theory that quantifies the interplay between intrapore and interpore flow variabilities and their impact on hydrodynamic dispersion. The theory reveals that porous media with varying levels of structural disorder exhibit notable differences in interpore flow variability, characterised by the flux-weighted probability density function (PDF), $\hat {\psi }_\tau (\tau ) \sim \tau ^{-\theta -2}$, for advection times $\tau$ through conduits. These differences result in varying relative strengths of interpore and intrapore flow variabilities, leading to distinct scaling behaviours of the hydrodynamic dispersion coefficient $D_L$, normalised by the molecular diffusion coefficient $D_m$, with respect to the Péclet number $Pe$. Specifically, when $\hat {\psi }_\tau (\tau )$ exhibits a broad distribution of $\tau$ with $\theta$ in the range of $(0, 1)$, the dispersion undergoes a transition from power-law scaling, $D_L/D_m \sim Pe^{2-\theta }$, to linear scaling, $D_L/D_m \sim Pe$, and eventually to logarithmic scaling, $D_L/D_m \sim Pe\ln (Pe)$, as $Pe$ increases. Conversely, when $\tau$ is narrowly distributed or when $\theta$ exceeds 1, dispersion consistently follows a logarithmic scaling, $D_L/D_m \sim Pe\ln (Pe)$. The power-law and linear scaling occur when interpore variability predominates over intrapore variability, while logarithmic scaling arises under the opposite condition. These theoretical predictions are supported by experimental data and network simulations across a broad spectrum of porous media.

Page 214 of 11903