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The role of global curvature on the structure and propagation of weakly unstable cylindrical detonations

Published online by Cambridge University Press:  19 January 2017

Wenhu Han ,
Wenjun Kong ,
Yang Gao  and
Chung K. Law
Wenhu Han
Affiliation:
Key Laboratory of Light-Duty Gas-Turbine, Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China
Wenjun Kong*
Affiliation:
Key Laboratory of Light-Duty Gas-Turbine, Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100190, China University of Chinese Academy of Sciences, Beijing 100039, China
Yang Gao
Affiliation:
Center for Combustion Energy, Tsinghua University, Beijing 100084, China
Chung K. Law*
Affiliation:
Center for Combustion Energy, Tsinghua University, Beijing 100084, China Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email addresses for correspondence: wjkong@iet.cn, cklaw@princeton.edu
†Email addresses for correspondence: wjkong@iet.cn, cklaw@princeton.edu
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Abstract

The role of the global curvature on the structure and propagation of cylindrical detonations is studied allowing and without allowing the development of cellular structures through two-dimensional (2-D) and 1-D simulations, respectively. It is shown that as the detonation transitions from being overdriven to the Chapman–Jouguet (CJ) state, its structure evolves from no cell, to growing cells and then to diverging cells. Furthermore, the increased dimension of the average structure of the cellular cylindrical detonation, coupled with the curved transverse wave, leads to bulk un-reacted pockets as the cells grow, and consequently lower average propagation velocities as compared to those associated with smooth fronts. As the global detonation front expands and its curvature decreases, the extent of the un-reacted pockets diminishes and the average velocity of the cellular cylindrical detonation eventually degenerates to that of the smooth fronts. Consequently, the presence of cellular instability renders detonation more difficult to initiate for weakly unstable detonations.

JFM classification

Compressible Flows: Compressible Flows Compressible Flows: Detonation waves Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 813 , 25 February 2017 , pp. 458 - 481
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© 2017 Cambridge University Press 

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