Exploration of RP-2 Liquid Droplets Interaction with a Detonation Wave

Malik, Vidhan; Hytovick, Rachel; Chin, Hardeo M.; Burke, Robert F.; Rezzag, Taha; Stiehl, Bernhard; Morales, Anthony J.; Ahmed, Kareem A.

doi:10.2514/6.2022-0089

Cited by 6 publications

(1 citation statement)

References 12 publications

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“…The phenomenon of a droplet impacted by shock waves occurs widely in natural and industrial scenarios such as two-phase supersonic combustors (Malik et al 2022), supernova explosions (Abgrall & Karni 2001), cavitation (Brennen 2013) and shock wave lithotripsy (Johnsen & Colonius 2009). In the development of hypersonic propulsion systems, in particular, it is of great interest to understand the behaviours of fuel droplets interacting with shock waves.…”

Section: Introductionmentioning

confidence: 99%

Analysis of wave converging phenomena inside the shocked two-dimensional cylindrical water column

Fan

et al. 2023

J. Fluid Mech.

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Due to the curvature of the droplet surface, the propagation of transmitted waves is complex inside a droplet impacted by an incident shock wave. The wave converging phenomena inside a two-dimensional water column impacted by different curved shock waves are explored in this paper by means of theoretical ray analysis and high-resolution numerical simulations. An analytical method describing the wave structure evolution characteristics inside the shocked water column is established. Hence, the morphological pattern and focus locations of these waves are theoretically obtained. The analysis shows that both the first and the second reflected waves focus inside the water column regardless of the convergent, planar or divergent nature of the incident shock wave shape. The dimensionless distances from focusing points to the column centre are derived as ${\kappa }/{( 3\kappa -{{M}_{0}}{{f}_{s}} )}$ for the former and ${\kappa }/{( 5\kappa -{{M}_{0}}{{f}_{s}})}$ for the latter, respectively. Here, $\kappa$ , $M_0$ and $f_s$ represent the sound-speed ratio of the two phases, the incident shock wave strength and a function characterising the shock wave shape effect, respectively. Moreover, highly negative pressures due to the first reflected wave focusing and significant pressure oscillations due to the second reflected wave focusing are numerically tracked for three shapes of the incident shock. The effects of the incident shock wave intensity on the pressure variations at focus points are further studied. As the incident shock wave intensity increases, stronger negative pressure and higher pressure oscillation are induced. The converged incident shock wave can enhance the above phenomena, but the diverged one can weaken them.

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