Evolution of wave patterns and temperature field in shock-tube flow

A. D. Kiverin and I. S. Yakovenko
Phys. Rev. Fluids 3, 053201 – Published 29 May 2018

Abstract

The paper is devoted to the numerical analysis of wave patterns behind a shock wave propagating in a tube filled with a gaseous mixture. It is shown that the flow inside the boundary layer behind the shock wave is unstable, and the way the instability develops fully corresponds to the solution obtained for the boundary layer over a flat plate. Vortical perturbations inside the boundary layer determine the nonuniformity of the temperature field. In turn, exactly these nonuniformities define the way the ignition kernels arise in the combustible mixture after the reflected shock interaction with the boundary layer. In particular, the temperature nonuniformity determines the spatial limitations of probable ignition kernel position relative to the end wall and side walls of the tube. In the case of low-intensity incident shocks the ignition could start not farther than the point of first interaction between the reflected shock wave and roller vortices formed in the process of boundary layer development. Proposed physical mechanisms are formulated in general terms and can be used for interpretation of the experimental data in any systems with a delayed exothermal reaction start. It is also shown that contact surface thickening occurs due to its interaction with Tollmien-Schlichting waves. This conclusion is of importance for understanding the features of ignition in shock tubes operating in the over-tailored regime.

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  • Received 26 August 2017

DOI:https://doi.org/10.1103/PhysRevFluids.3.053201

©2018 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

A. D. Kiverin* and I. S. Yakovenko

  • Joint Institute for High Temperatures, Russian Academy of Science, Izhorskaya 13, Bd. 2, Moscow, 125412, Russia

  • *alexeykiverin@gmail.com

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Issue

Vol. 3, Iss. 5 — May 2018

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