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Numerical analysis of the mean structure of gaseous detonation with dilute water spray

Published online by Cambridge University Press:  17 January 2020

Hiroaki Watanabe Open the ORCID record for Hiroaki Watanabe [Opens in a new window] ,
Akiko Matsuo Open the ORCID record for Akiko Matsuo [Opens in a new window] ,
Ashwin Chinnayya Open the ORCID record for Ashwin Chinnayya [Opens in a new window] ,
Ken Matsuoka Open the ORCID record for Ken Matsuoka [Opens in a new window] ,
Akira Kawasaki Open the ORCID record for Akira Kawasaki [Opens in a new window]  and
Jiro Kasahara Open the ORCID record for Jiro Kasahara [Opens in a new window]
Hiroaki Watanabe*
Affiliation:
Department of Mechanical Engineering, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan
Akiko Matsuo
Affiliation:
Department of Mechanical Engineering, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8522, Japan
Ashwin Chinnayya
Affiliation:
Institut Pprime – UPR 3346 CNRS, ENSMA, University of Poitiers, 1 avenue Clément Ader, BP 40109, 86961Futuroscope-Chasseneuil CEDEX, France
Ken Matsuoka
Affiliation:
Department of Aerospace Engineering, Nagoya University, Furo-cho, Chikusa, Nagoya, Aichi, 464-8603, Japan
Akira Kawasaki
Affiliation:
Department of Aerospace Engineering, Nagoya University, Furo-cho, Chikusa, Nagoya, Aichi, 464-8603, Japan
Jiro Kasahara
Affiliation:
Department of Aerospace Engineering, Nagoya University, Furo-cho, Chikusa, Nagoya, Aichi, 464-8603, Japan
*
†Email address for correspondence: watanabe0204@keio.jp
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Abstract

Two-dimensional (2-D) numerical simulations based on the Eulerian–Lagrangian method that take droplet break-up into account are conducted to clarify the mean structure of gaseous detonation laden with a dilute water spray. The premixed mixture is a slightly diluted stoichiometric hydrogen–oxygen mixture at low pressure. The simulated results are analysed via 2-D flow fields and statistical Favre spatiotemporal averaging techniques. Gaseous detonation with water droplets (WD) propagates stably with a velocity decrease compared with the dry Chapman–Jouguet speed. The mean structure of gaseous detonation with dilute water spray shares a similar structure as the one without water spray. However, the hydrodynamic thickness is changed due to the interaction with water spray. Overall interphase exchanges (mass, momentum and energy) that take place within the hydrodynamic thickness induce a decrease of the detonation velocity and lower the level of fluctuations downstream of the mean leading shock wave. Droplet break-up occurs downstream of the induction zone and in our case, the water vapour from the evaporation of water spray does not affect the reactivity of gaseous detonation. The laminar master equation for gaseous detonation laden with inert WD shows that the hydrodynamic thickness should rely on the gaseous sound speed, and works well as the working mixture is weakly unstable and its cellular structure is regular. The droplet flow regimes and break-up modes have also been determined. The characteristic lengths of detonation and interphase exchanges have been ordered under the present simulation conditions and have been shown to be intimately intertwined.

JFM classification

Compressible Flows: Detonation waves Multiphase and Particle-laden Flows: Reacting multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 887 , 25 March 2020 , A4
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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