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Transmission of a detonation wave across an inert layer

Transmission of a detonation wave across an inert layer
Transmission of a detonation wave across an inert layer

The transmission of a detonation wave across a layer of inert gas is studied via one- and two-dimensional numerical simulations based on the reactive Euler equations. The resulting transient transmission process from the one-dimensional simulations is first explored in detail, and is analyzed via distance-time characteristic diagrams. The physics of this transient process is the same until the end of a quasi-steady period. Afterward, the energy release from the combustion may couple to the gas dynamics. Through this coupling, the pressure pulse accompanying the energy release can be rapidly amplified, and consequently, leads to detonation onset. If the inert layer is too thick, the detonation cannot be successfully re-initiated downstream. This inert-layer thickness beyond which a detonation fails to be re-initiated is determined as the critical thickness, δ i,cr. The mechanisms underlying the scenarios with a successful and unsuccessful re-initiation are demonstrated in detail. A parametric study considering simplified and detailed chemical kinetics (i.e., a stoichiometric mixture of hydrogen and air at various initial pressure from 0.1−1atm) demonstrate that δ i,cr normalized by the intrinsic ZND induction length, Δ I, asymptotically decreases with an increase of the effective activation energy, E a. The one-dimensional simulations under-predict the experimental results [1, 2] of δ i,crI by at least one order of magnitude. In the two-dimensional scenarios, transverse-wave instabilities are present and allow the detonation wave to re-initiate in cases where re-initiation is unsuccessful in one dimension. The two-dimensional results of δ i,cr are in a closer agreement with the experimental findings.

Detonation onset, Detonation transmission, Inert layer, Numerical simulation
0010-2180
Tang-Yuk, Kelsey C.
cd1669c2-683e-4dc8-a4f5-14d128a28be1
Mi, XiaoCheng
67401559-3612-4c4f-a666-ca2954e8b5b8
Lee, John H.S.
b40c55df-deb0-46d8-ab63-61458d8c35ec
Ng, Hoi Dick
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Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Tang-Yuk, Kelsey C.
cd1669c2-683e-4dc8-a4f5-14d128a28be1
Mi, XiaoCheng
67401559-3612-4c4f-a666-ca2954e8b5b8
Lee, John H.S.
b40c55df-deb0-46d8-ab63-61458d8c35ec
Ng, Hoi Dick
a01c36c4-8982-4976-ab0e-b2113ff0da4f
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314

Tang-Yuk, Kelsey C., Mi, XiaoCheng, Lee, John H.S., Ng, Hoi Dick and Deiterding, Ralf (2022) Transmission of a detonation wave across an inert layer. Combustion and Flame, 236, [111769]. (doi:10.1016/j.combustflame.2021.111769).

Record type: Article

Abstract

The transmission of a detonation wave across a layer of inert gas is studied via one- and two-dimensional numerical simulations based on the reactive Euler equations. The resulting transient transmission process from the one-dimensional simulations is first explored in detail, and is analyzed via distance-time characteristic diagrams. The physics of this transient process is the same until the end of a quasi-steady period. Afterward, the energy release from the combustion may couple to the gas dynamics. Through this coupling, the pressure pulse accompanying the energy release can be rapidly amplified, and consequently, leads to detonation onset. If the inert layer is too thick, the detonation cannot be successfully re-initiated downstream. This inert-layer thickness beyond which a detonation fails to be re-initiated is determined as the critical thickness, δ i,cr. The mechanisms underlying the scenarios with a successful and unsuccessful re-initiation are demonstrated in detail. A parametric study considering simplified and detailed chemical kinetics (i.e., a stoichiometric mixture of hydrogen and air at various initial pressure from 0.1−1atm) demonstrate that δ i,cr normalized by the intrinsic ZND induction length, Δ I, asymptotically decreases with an increase of the effective activation energy, E a. The one-dimensional simulations under-predict the experimental results [1, 2] of δ i,crI by at least one order of magnitude. In the two-dimensional scenarios, transverse-wave instabilities are present and allow the detonation wave to re-initiate in cases where re-initiation is unsuccessful in one dimension. The two-dimensional results of δ i,cr are in a closer agreement with the experimental findings.

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Inert_Layer_Paper_6 - Accepted Manuscript
Restricted to Repository staff only until 12 October 2022.
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More information

Accepted/In Press date: 27 September 2021
e-pub ahead of print date: 13 October 2021
Published date: February 2022
Additional Information: Funding Information: Kelsey Tang-Yuk was supported by the Fonds de recherche du Québec - Nature et technologies, file number 270439 . Publisher Copyright: © 2021 The Combustion Institute Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
Keywords: Detonation onset, Detonation transmission, Inert layer, Numerical simulation

Identifiers

Local EPrints ID: 452791
URI: http://eprints.soton.ac.uk/id/eprint/452791
ISSN: 0010-2180
PURE UUID: c43eda48-493f-4060-832f-ae6bc39949e8
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

Catalogue record

Date deposited: 20 Dec 2021 17:50
Last modified: 09 Jan 2022 03:50

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Contributors

Author: Kelsey C. Tang-Yuk
Author: XiaoCheng Mi
Author: John H.S. Lee
Author: Hoi Dick Ng
Author: Ralf Deiterding ORCID iD

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