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One-dimensional numerical simulations based on hybrid Eulerian-Lagrangianapproach are performed to investigate the interactions between propagatingshock waves and dispersed evaporating water droplets in two-phase gas-dropletflows. Two-way coupling for interphase exchanges of mass, momentum and energyis adopted. Parametric study on shock attenuation, droplet evaporation, motionand heating is conducted, through considering various initial droplet diameters(5-20 {\mu}m), number densities (2.5 x 1011 - 2 x 1012 1/m3) and incident shockMach numbers (1.17-1.9). It is found that the leading shock may be attenuatedto sonic wave and even subsonic wave when droplet volume fraction is largeand/or incident shock Mach number is low. Attenuation in both strength andpropagation speed of the leading shock is mainly caused by momentum transfer tothe droplets that interact at the shock front. Total pressure recovery isobserved in the evaporation region, whereas pressure loss results from shockcompression, droplet drag and pressure gradient force behind the shock front.Recompression of the region between the leading shock and two-phase contactsurface is observed when the following compression wave is supersonic. After acritical point, this region gets stable in width and interphase exchanges inmass, momentum, and energy. However, the recompression phenomenon is sensitiveto droplet volume fraction and may vanish with high droplet loading. For anincident shock Mach number of 1.6, recompression only occurs when the initialdroplet volume fraction is below 3.28 x 10-5.

On the interactions between a propagating shock wave and evaporating water droplets