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On a stabilization mechanism for low-velocity detonations

Published online by Cambridge University Press:  08 March 2017

Aliou Sow ,
Roman E. Semenko  and
Aslan R. Kasimov Open the ORCID record for Aslan R. Kasimov [Opens in a new window]
Aliou Sow
Affiliation:
Applied Mathematics and Computational Science, 4700 King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia
Roman E. Semenko
Affiliation:
Department of Mechanics and Mathematics, Novosibirsk State University, Pirogova St. 2, Novosibirsk 630090, Russia Sobolev Institute of Mathematics, Acad. Koptyug Av., 4, Novosibirsk 630090, Russia
Aslan R. Kasimov*
Affiliation:
Applied Mathematics and Computational Science, 4700 King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia
*
†Email address for correspondence: aslankasimov@gmail.com
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Abstract

We use numerical simulations of the reactive Euler equations to analyse the nonlinear stability of steady-state one-dimensional solutions for gaseous detonations in the presence of both momentum and heat losses. Our results point to a possible stabilization mechanism for the low-velocity detonations in such systems. The mechanism stems from the existence of a one-parameter family of solutions found in Semenko et al. (Shock Waves, vol. 26 (2), 2016, pp. 141–160).

JFM classification

Compressible Flows: Compressible Flows Reacting Flows: Detonations Instability: Nonlinear instability

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Papers
Information
Journal of Fluid Mechanics , Volume 816 , 10 April 2017 , pp. 539 - 553
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© 2017 Cambridge University Press 

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