On the Importance of the Basset History Term on the Particle Motion Induced by a Plane Shock Wave

Sommerfeld, Martin; Decker, Sophia

doi:10.1007/978-3-642-78835-2_5

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…These forces are the pressure gradient force, the apparent mass force and the Basset force. As the densities ratio of gas and particles is less than unity, all these forces can be neglected in comparison with the Stokes term[8]. Furthermore, the forces acting crosswise on a particle, such as the Magnus force or the shearing force, can also be neglected in front of the Stokes force as long as the diameter of particle remains small.…”

Section: Mathematical Modelmentioning

confidence: 99%

Analytical and numerical results on the attenuation and dispersion of an acoustic wave through a two‐phase flow

Basset¹,

Daniel²,

Loraud³

1997

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Presents validation of the Eulerian approach for unsteady two‐phase flows, whose behaviour depends on the coupling between the two phases, on the basis of the study of attentuation and dispersion of an acoustic wave propagating into a one dimensional two‐phase flow. This approach and the corresponding numerical aspects are accurate enough for later applications in more complex geometries, where “vortex shedding” phenomena take place. Attenuation and dispersion of a pressure wave in a two‐phase medium of rest was previously studied by Temkin and Dobbins. Present work is an extension of this theory to the case of a two‐phase flow. This theoretical approach leads to a numerical solution of the problem. Compares the derived results with those obtained from a direct numerical simulation based on MacCormack scheme in a finite volume formulation. Verifies that analytical and numerical approaches are in good agreement.

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Section: Mathematical Modelmentioning

confidence: 99%

Analytical and numerical results on the attenuation and dispersion of an acoustic wave through a two‐phase flow

Basset¹,

Daniel²,

Loraud³

1997

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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“…Let us consider the motion of a single rigid particle in the flow field ahead of a plate at supersonic jet impingement. The influence of the plate shock on the particle motion is negligible since the time of interaction is short compared to the characteristic time of particle relaxation [Thomas et al 1993, Sommerfeld & Decker 1995. However, the particle decelerates in the shock layer which is characterized by a high density and a low velocity of the gas.…”

Section: Deceleration Of Particles In the Shock Layermentioning

confidence: 99%

Unsteady gas flows and particle dynamics in the shock layer formed by the impingement of a supersonic two-phase jet onto a plate

Klinkov¹

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The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture

et al. 2007

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On the Importance of the Basset History Term on the Particle Motion Induced by a Plane Shock Wave

Cited by 4 publications

References 5 publications

Analytical and numerical results on the attenuation and dispersion of an acoustic wave through a two‐phase flow

Analytical and numerical results on the attenuation and dispersion of an acoustic wave through a two‐phase flow

Unsteady gas flows and particle dynamics in the shock layer formed by the impingement of a supersonic two-phase jet onto a plate

The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture

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