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Numerical study of detonation wave propagation modes in annular channels

Numerical study of detonation wave propagation modes in annular channels
Numerical study of detonation wave propagation modes in annular channels

Modes of detonation wave propagation in annular channels were investigated numerically by using the adaptive mesh refinement technique. Two-dimensional, reactive Euler equations with a detailed hydrogen/oxygen reaction model were adopted in the computations to simulate the detonation dynamics in the annular geometry. Considering both the decoupling of the detonation wave front and the development of the Mach-stem in reflection, the propagation is divided into unstable and stable propagation modes with different Mach-stem evolutions, namely, a growing, steady, or decaying type. The numerical observations indicate that in the unstable propagation mode, velocity loss and oscillation occur near the inner wall, while the wave front shape and velocity evolution are steadier for the stable propagation mode. The overdriven degree near the outer wall increases as the Mach-stem strength attenuates. The propagation mode diagrams demonstrate that an increase in the initial pressure and wall curvature radius can extend the range of the stable propagation mode, and the Mach-stem is transformed from a growing to steady, and finally a decaying type with the increase in the initial pressure or the decrease in the wall curvature radius to channel width ratio. The limit of wall curvature radius separating the unstable and stable modes is independent of the channel width for the Mach-stem steady and decaying types, while they are positively correlated for the Mach-stem growing type. Finally, a qualitative procedure is proposed to help distinguish different propagation modes based on the formation mechanism of each propagation dynamics.

2158-3226
Zhang, Duo
4bb8e665-3e0a-4638-b737-fe11a3e6e5d7
Yuan, Xueqiang
a1a99013-c654-4902-b06b-559e7b2c8dde
Liu, Shijie
e07c262d-a03b-4a8a-917b-37b423edd1d7
Cai, Xiaodong
293bf621-f0e1-48ba-abaa-b41da81ea244
Peng, Haoyang
5a4bc0ca-6348-4458-a49b-47851c4de841
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Ng, Hoi Dick
a01c36c4-8982-4976-ab0e-b2113ff0da4f
Zhang, Duo
4bb8e665-3e0a-4638-b737-fe11a3e6e5d7
Yuan, Xueqiang
a1a99013-c654-4902-b06b-559e7b2c8dde
Liu, Shijie
e07c262d-a03b-4a8a-917b-37b423edd1d7
Cai, Xiaodong
293bf621-f0e1-48ba-abaa-b41da81ea244
Peng, Haoyang
5a4bc0ca-6348-4458-a49b-47851c4de841
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Ng, Hoi Dick
a01c36c4-8982-4976-ab0e-b2113ff0da4f

Zhang, Duo, Yuan, Xueqiang, Liu, Shijie, Cai, Xiaodong, Peng, Haoyang, Deiterding, Ralf and Ng, Hoi Dick (2021) Numerical study of detonation wave propagation modes in annular channels. AIP Advances, 11 (8), [085203]. (doi:10.1063/5.0057586).

Record type: Article

Abstract

Modes of detonation wave propagation in annular channels were investigated numerically by using the adaptive mesh refinement technique. Two-dimensional, reactive Euler equations with a detailed hydrogen/oxygen reaction model were adopted in the computations to simulate the detonation dynamics in the annular geometry. Considering both the decoupling of the detonation wave front and the development of the Mach-stem in reflection, the propagation is divided into unstable and stable propagation modes with different Mach-stem evolutions, namely, a growing, steady, or decaying type. The numerical observations indicate that in the unstable propagation mode, velocity loss and oscillation occur near the inner wall, while the wave front shape and velocity evolution are steadier for the stable propagation mode. The overdriven degree near the outer wall increases as the Mach-stem strength attenuates. The propagation mode diagrams demonstrate that an increase in the initial pressure and wall curvature radius can extend the range of the stable propagation mode, and the Mach-stem is transformed from a growing to steady, and finally a decaying type with the increase in the initial pressure or the decrease in the wall curvature radius to channel width ratio. The limit of wall curvature radius separating the unstable and stable modes is independent of the channel width for the Mach-stem steady and decaying types, while they are positively correlated for the Mach-stem growing type. Finally, a qualitative procedure is proposed to help distinguish different propagation modes based on the formation mechanism of each propagation dynamics.

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Submitted date: 20 July 2021
Published date: 3 August 2021
Additional Information: Funding Information: This work was supported by the National Natural Science Foundation of China under Grant No. 51776220 and the Key Laboratories Program of China under Grant No. 6142704200101. Publisher Copyright: © 2021 Author(s).

Identifiers

Local EPrints ID: 450527
URI: http://eprints.soton.ac.uk/id/eprint/450527
ISSN: 2158-3226
PURE UUID: c914ee15-34c1-4c51-97c7-1100a8116d4b
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

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Date deposited: 03 Aug 2021 16:30
Last modified: 17 Mar 2024 03:39

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Contributors

Author: Duo Zhang
Author: Xueqiang Yuan
Author: Shijie Liu
Author: Xiaodong Cai
Author: Haoyang Peng
Author: Ralf Deiterding ORCID iD
Author: Hoi Dick Ng

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