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Shock dispersal of dilute particle clouds

Published online by Cambridge University Press:  27 February 2018

Theo G. Theofanous Open the ORCID record for Theo G. Theofanous [Opens in a new window] ,
Vladimir Mitkin  and
Chih-Hao Chang
Theo G. Theofanous*
Affiliation:
Chemical Engineering Department, University of California, Santa Barbara, CA 93106, USA
Vladimir Mitkin
Affiliation:
Aerospace Research Laboratory, University of Virginia, VA 22904, USA
Chih-Hao Chang
Affiliation:
Theofanous Co. Inc., Santa Barbara, CA 93109, USA
*
†Email address for correspondence: theo@theofanous.net
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Abstract

We present experiments and numerical simulations for an elementary paradigm of disperse multiphase flow: highly dilute, homogeneous, finite-dimension clouds of particles (curtains) hit by shock/blast waves in one dimension. In the experiments (particle volume fraction ${<}1\,\%$) the blasts that follow the shocks vary from low subsonic to supersonic, and we report data on curtain expansions and volume fraction distributions. The particle-resolving numerical simulations, run for the supersonic case, yield excellent agreement with all of these experimental data. We find that the essential feature for these good predictions is a flow choking phenomenon that entails a (particle) dispersive character of the flow down a volume fraction gradient (as at the downstream portions of the curtain). A most basic effective-field model is made to capture this gas dynamics by emulating the wake behind each particle, as seen in the particle-resolving direct Euler simulation (DES). On this basis, standard drag laws yield excellent agreement with the dispersive behaviour found in the experiment/DES, thus revealing a physics-based path to eventual well posedness of the mathematical model.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Multiphase and Particle-laden Flows: Particle/fluid flow Compressible Flows: Shock waves

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 841 , 25 April 2018 , pp. 732 - 745
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Copyright
© 2018 Cambridge University Press 

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References

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