Bates JW, Montgomery DC. The D'yakov-kontorovich instability of shock waves in real gases.
PHYSICAL REVIEW LETTERS 2000;
84:1180-1183. [PMID:
11017473 DOI:
10.1103/physrevlett.84.1180]
[Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/19/1999] [Indexed: 05/23/2023]
Abstract
In the 1950s, D'yakov and Kontorovich predicted that under certain conditions perturbed shock waves in nonideal gases can become unstable by emitting undamped sound and entropy-vortex waves. For the last 45 years, though, little progress has been made in the identification and numerical modeling of physical conditions for which this phenomenon might occur. Using a van der Waals equation of state, we present for the first time a dynamical simulation of a D'yakov-Kontorovich instability. The two-dimensional emission pattern of acoustic waves appearing in the simulation agrees with the prediction of a linearized theory.
Collapse