Modeling of particle cloud dispersion in compressible gas flows with shock waves

The effect of shock waves on the dispersion characteristics of a particle cloud is investigated both numerically and analytically. A one-dimensional analytical model is developed for the estimation of the cloud topology in the wake of a shock wave, as a function of time, space, and characteristic re...

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Bibliographic Details
Published in:Physics of fluids (1994) 2020-02, Vol.32 (2)
Main Authors: Gai, Guodong, Thomine, Olivier, Hadjadj, Abdellah, Kudriakov, Sergey
Format: Article
Language:English
Subjects:
Clouds
Compressibility
Computer simulation
Deceleration
Dimensional analysis
Fluid Dynamics
Formalism
Gas flow
Mathematical models
Physics
Response time
Shock wave propagation
Shock waves
Topology
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Summary:The effect of shock waves on the dispersion characteristics of a particle cloud is investigated both numerically and analytically. A one-dimensional analytical model is developed for the estimation of the cloud topology in the wake of a shock wave, as a function of time, space, and characteristic response time τp of the cloud based on the one-way formalism. The model is compared with the results obtained with numerical simulations over a wide range of incident Mach numbers Ms and particle volume fraction τv,0. An extension of the one-way formalism to the two-way is proposed by taking into account the post-shock gas deceleration due to the presence of particles. A significant increase in the cloud density is noticed. The effects of different parameters affecting the shock–spray interaction are elucidated and discussed. The two-way formalism is seen to better describe the effects of the particles on the propagation of the shock wave.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5135774