Frequency-selection mechanism in incompressible open-cavity flows via reflected instability waves

FLORIAN TUERKE; DENISSE SCIAMARELLA; LUC PASTUR; FRANCOIS LUSSEYRAN; GUILLERMO ARTANA

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2015

1539-3755

We present an alternative perspective on nonharmonic mode coexistence, commonly found in the shear layer spectrum of open-cavity flows. Modes obtained by a local linear stability analysis of perturbations to a two-dimensional, incompressible, and inviscid sheared flow over a cavity of finite length and depth were conditioned by a so-called coincidence condition first proposed by Kulikowskii [J. Appl. Math. Mech. 30, 180 (1966)] which takes into account instability wave reflection within the cavity. The analysis yields a set of discrete, nonharmonic frequencies, which compare well with experimental results [Phys. Fluids 20, 114101 (2008); Exp. Fluids 50, 905 (2010)].