Understanding detonation wave dynamics in annular channels with geometric and pressure variations

Abstract

This study delves into detonation wave behavior within C2H2/O2/Ar-filled annular channels using the generalized ZND model to establish the link between detonation velocity Dn and curvature κ during wave propagation. Incorporating detonation shock dynamics (DSD), it examines the outer wall's influence on wave propagation. Predictive models accurately identify the critical channel diameter width dcr and detonation wave angular velocity ω across diverse pressures. Wide-diameter channels (d > dcr) exhibit a supersonic region segregating the outer wall's impact from the inner wall, contrasting narrow-diameter channels (d < dcr) allowing the outer wall's influence on the inner wall. The behavior of the detonation wave is influenced not only by the Dn-κ relationship but also by the compressive effect of the outer wall. Notably, factors shaping the wave's ω manifest through the inner normal angle φi. The source term causing a loss in detonation wave velocity results in a decrease in the φi, while the source term accelerating the detonation wave leads to an increase in the φi. For stable wave propagation in wide-diameter channels, this study advocates φi at 0° as optimal, revealing insights pivotal for comprehending detonation wave dynamics in annular channels.