Acoustic destablilization of vortices
Edward Granville Broadbent, Derek William Moore
Source record
Source: Crossref
Published: Jan 3, 1979
DOI: 10.1098/rsta.1979.0003
Open original source ↗Source abstract
Abstract A line vortex which has uniform vorticity 2Ω0 in its core is subjected to a small two-dimensional disturbance whose dependence on polar angle is eimθ. The stability is examined according to the equations of compressible, inviscid flow in a homentropic medium. The boundary condition at infinity is that of outgoing acoustic waves, and it is found that this capacity to radiate leads to a slow instability by comparison with the corresponding incompressible vortex which is stable. Numerical eigenvalues are computed as functions of the mode number m and the Mach number M based on the circumferential speed of the vortex. These are compared with an asymptotic analysis for the m = 2 mode at low Mach number in which it is found that the growth rate is (π/ 32) M4Ω0 in good agreement with the numerical results.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.