“…With the developments of high-speed aircraft, compressible turbulent flows laden with particles or droplets are drawing considerable attention. For example, compressible turbulent boundary layers (CTBLs) laden with particles are commonly encountered in the mixing of fuels in scramjets (Urzay 2018), flights in sandy or rainy atmospheres (Fedorov 2013) and exhaust gas from rocket engines (Nagata et al 2018). Particles are essential for triggering compressible boundary layer transition processes (Chuvakhov, Fedorov & Obraz 2019), affecting flight performance (Li & Bai 2015), and controlling the temperature and noise of exhaust gas flow (Ignatius, Sathiyavageeswaran & Chakravarthy 2014).…”