Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics







753Huxley BuildingSouth Kensington Campus






BibTex format

author = {Qadri, UA and Schmid, PJ},
doi = {10.1103/PhysRevFluids.2.013902},
journal = {Physical Review Fluids},
title = {Frequency selection mechanisms in the flow of a laminar boundary layer over a shallow cavity},
url = {},
volume = {2},
year = {2017}

RIS format (EndNote, RefMan)

AB - We investigate the flow over shallow cavities as a representative configuration for modelling smallsurface irregularities in wall-bounded shear flows. Due to the globally stable nature of the flow, weperform a frequency response analysis, which shows a significant potential for the amplification ofdisturbance kinetic energy by harmonic forcing within a certain frequency band. Shorter and moreshallow cavities exhibit less amplified responses, while energy from the base flow can be extractedpredominantly from forcing that impacts the cavity head-on. A structural sensitivity analysis,combined with a componentwise decomposition of the sensitivity tensor, reveals the regions ofthe flow that act most effectively as amplifiers. We find that the flow inside the cavity plays anegligible role, whereas boundary layer modifications immediately upstream and downstream ofthe cavity edges contribute significantly to the frequency response. The same regions constitutepreferred locations for implementing active or passive control strategies to manipulate the frequencyresponse of the flow.
AU - Qadri,UA
AU - Schmid,PJ
DO - 10.1103/PhysRevFluids.2.013902
PY - 2017///
SN - 2469-990X
TI - Frequency selection mechanisms in the flow of a laminar boundary layer over a shallow cavity
T2 - Physical Review Fluids
UR -
UR -
VL - 2
ER -