R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Instabilities of compressible Poiseuille flow and traveling waves
Takaaki Nishida (Kyoto University)
Plane Poiseuille flow in viscous compressible fluid is known to be asymptoti-cally stable if Reynolds number Re and Mach number Ma are sufficiently small. On the other hand, for Re and Ma being not necessarily small, an instability criterion for plane Poiseuille flow is shown; and the criterion says that, when Re increases, a pair of complex conjugate eigenvalues of the linearized operator cross the imaginary axis. Thus we also show that a spatially periodic traveling wave bifurcates from plane Poiseuille flow when the critical eigenvalues cross the imaginary axis.
