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JFM Rapids

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JFM Rapids provides a highly visible venue for short, yet still self-contained and complete, high-quality articles addressing timely research challenges of broad interest. They present exciting results that are likely to have a high impact on some aspect of currently active fluid mechanical research.

The average time from submission to first decision is under 30 days, and from submission to publication within a volume is under 100 days.

The latest Rapids are displayed below, and are available to view in order of publication date, title, or article number.

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Contents

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Rapids

  • A thermo-mechanically consistent Burnett regime continuum flow equation without Chapman–Enskog expansion

  • S. Kokou Dadzie
  • Journal:
    Journal of Fluid Mechanics / Volume 716 / 2013
    Published online by Cambridge University Press:
    28 January 2013, R6

  • Chapman–Enskog expansion is the orthodox approach to derive continuum flow models from Boltzmann’s kinetic equation for dilute gases. Beyond the Navier–Stokes–Fourier order these models, known as Burnett hydrodynamic-regime equations, violate a number of fundamental mechanical and thermodynamic principles in their original forms. This has generated a widely investigated problem in the kinetic theory of gases. In this short article, we derive a Burnett hydrodynamic-regime continuum model that is systematically consistent with all known mechanical and thermodynamic principles without using any series expansion. A close comparison with the conventional Burnett hydrodynamic set of equations is made and the linear stabilities around an equilibrium point under small perturbations are presented.

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