RT Journal Article
T1 On the stability of piston-driven planar shocks
A1 Calvo Rivera, Andrés
A1 Velikovich, Alexander L.
A1 Huete Ruiz de Lira, César
AB We present a theoretical and numerical stability analysis for a piston-driven planarshock against two-dimensional perturbations. The results agree with the well-establishedtheory for isolated planar shocks: in the range of hc < h < 1 + 2M2, where h is theDyakov-Kontorovich (DK) parameter related to the slope of the Rankine-Hugoniotcurve, hc is its critical value corresponding to the onset of the spontaneous acousticemission (SAE) and M2 is the downstream Mach number, non-decaying oscillationsof shock-front ripples occur. The effect of the piston is manifested in the presenceof additional frequencies occurring by the reflection of the sonic waves on the pistonsurface that can reach the shock. An unstable behaviour of the shock perturbation isfound to be possible when there is an external excitation source affecting the shock,whose frequency coincides with the self-induced oscillation frequency in the SAE regime,thereby being limited to the range hc < h < 1 + 2M2. An unstable evolution of the shockis also observed for planar shocks restricted to one-dimensional perturbations withinthe range 1 < h < 1 + 2M2. Both numerical integration of the Euler equations via themethod of characteristics and theoretical analysis via Laplace transform are employed tocross-validate the results.
PB Cambridge University Press
SN 0022-1120
YR 2023
FD 2023-06-10
LK https://hdl.handle.net/10016/38631
UL https://hdl.handle.net/10016/38631
LA eng
NO The work of A.C.R and C.H. has been supported with project TED2021-129446B-C41 (MICINN/FEDER, UE). The work of C.H. has also received support from the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M (H2SAFE-CM-UC3M). The work of A.L.V. has been supported by the National Nuclear Security Administration of the US Department of Energy.
DS e-Archivo
RD 18 jul. 2024