Abstract
In this study, we propose a smoothed particle hydrodynamics model for simulating a shock wave interacting with cylindrical gas inhomogeneities inside a shock tube. When the gas inhomogeneity interacts with the shock wave, it assumes different shapes depending on the difference in densities between the gas inhomogeneity and the external gas. The model uses a piecewise smoothing length approach and is validated by comparing the results obtained with experimental and CFD data available in the literature. In all the cases considered, the evolution of the inhomogeneity is similar to the experimental shadowgraphs and is at least as accurate as the CFD results in terms of timescale and shape of the gas inhomogeneity.
Highlights
In the last 30 years, the study of a planar shock wave interacting with an isolated, gas inhomogeneity has been investigated both experimentally (e.g., [1,2,3,4,5]) and numerically (e.g., [4,6,7,8])
Smoothed particle hydrodynamics is a meshfree computational method initially developed by Gingold and Monaghan [11] and Lucy [12] for solving astrophysical problems
The interaction between the shock wave and the gas inhomogeneity depends on the physical properties of the driven and inhomogeneity gasses and on the shock wave speed, which can be represented as dimensionless groups
Summary
In the last 30 years, the study of a planar shock wave interacting with an isolated, gas inhomogeneity has been investigated both experimentally (e.g., [1,2,3,4,5]) and numerically (e.g., [4,6,7,8]). Nowadays, this system has acquired importance for computational models up to the point of becoming a benchmark for validating shock-induced flows [9]. In rectangular shock tubes, mixing between the two gasses is initially avoided by injecting the inhomogeneity in a nitrocellulose membrane (cylindrical inhomogeneity) In this way the inhomogeneity remains “cylindrical” during its evolution (Figure 2). The different shapes of the inhomogeneity calculated during the simulation are compared with experimental data available in the literature for assessing the precision of the model
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