Role of the argon and helium bath gases on the structure of H2/O2 detonations

Abstract

This study investigates the role of two inert mono-atomic diluents, argon and helium, on the detonation structure in order to assess the importance of vibrational non-equilibrium and wall losses. When relaxation effects and wall losses are neglected, the detonation waves in mixtures diluted with either of these gases have the same kinetics, Mach number, and specific heat ratio and hence are expected to lead to the same cellular dynamics. The experiments were conducted in 2H2/O2/7Ar and 2H2/O2/7He mixtures in a narrow channel. The initial pressure was adjusted in such a way that the induction zone length (therefore cell sizes) calculated from the ideal ZND model remained constant. The experiments revealed differences in velocity deficits and cell sizes despite maintaining a constant induction zone length across the mixtures. Near the detonation limits, the disparity in cell sizes between the two mixtures nearly doubled. We incorporated the boundary layer flow divergence in a perturbation analysis based on the square wave detonation assumption and established the controlling loss parameter as the product of the induction to channel size and the inverse of the square root of the Reynolds number. The very good collapse of the scaled results with the two bath gases with the loss parameter, and further comparison with 2D numerical simulations with account for flow divergence to the third dimension, confirmed the viscous loss mechanism to be dominating. Calculations suggest that the slower relaxation of H2 becomes comparable with the ignition delay anticipated from the ZND model and is slower by 70% in the argon diluted system. Differences possibly highlighting the role of non-equilibrium were not observed. This suggests the vibrational non-equilibrium effect may be less apparent in cellular detonations due to the lengthening of the ignition delays owing to the non-steady detonation structure.