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Journal ArticleDOI

Expanded analogy between Boltzmann kinetic theory of fluids and turbulence

TLDR
In this article, the effects of turbulent fluctuations have a striking resemblance to those of microscale (thermal) fluctuations in laminar flows, even to higher order in the Knudsen number.
Abstract
We demonstrate that the effects of turbulent fluctuations have a striking resemblance to those of microscale (thermal) fluctuations in laminar flows, even to higher order in the Knudsen number. This suggests that there may be a good basis for understanding turbulence in terms of Boltzmann kinetic theory. If so, turbulence may be better described in terms of ‘mixing times’ rather than the more classical ‘mixing lengths’. Comparisons are made to Reynolds-stress turbulence models.

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Citations
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Journal ArticleDOI

What Does Kinetic Theory Have to Do with Hydraulics

TL;DR: The potential of using kinetic theory to construct computational models for the shallow water equations as well as the Navier-Stokes equations is summarized and illustrated in this paper, where the authors highlight some of its potential usefulness in hydraulics and fluid mechanics.
Proceedings ArticleDOI

On the Rossiter-Heller Frequency of Resonant Cavities

TL;DR: In this paper , a second-order polynomial fit of scale-resolving flow simulation results of the reversed flow Mach number is used to derive the final resonance frequency formula.
References
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Journal ArticleDOI

The numerical computation of turbulent flows

TL;DR: In this paper, the authors present a review of the applicability and applicability of numerical predictions of turbulent flow, and advocate that computational economy, range of applicability, and physical realism are best served by turbulence models in which the magnitudes of two turbulence quantities, the turbulence kinetic energy k and its dissipation rate ϵ, are calculated from transport equations solved simultaneously with those governing the mean flow behaviour.
Book

Turbulence modeling for CFD

TL;DR: In this paper, the authors proposed a compressible ecoulement for compressible ECCs, based on the disquette reference record created on 2005-11-18, modified on 2016-08-08.

Small amplitude processes in charged and neutral one-component systems

TL;DR: In this article, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Journal ArticleDOI

Development of turbulence models for shear flows by a double expansion technique

TL;DR: In this article, a two-equation model and Reynolds stress transport model are developed for turbulent shear flows and tested for homogeneous shear flow and flow over a backward facing step.
Journal ArticleDOI

The Mathematical Theory of Non-Uniform Gases

R. H. Fowler
- 01 Dec 1939 - 
TL;DR: Chapman and Cowling as mentioned in this paper showed that the ultimate scope of the descendent of the kinetic theory of gases must be the whole field of the properties of matter in bulk, derived from the atomic constitution of matter and from properties of atoms and their interactions.
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