TY - JOUR
T1 - Frequency domain analysis of the linearized Navier-Stokes equations
AU - Jovanović, Mihailo R.
AU - Bamieh, Bassam
PY - 2003/11/6
Y1 - 2003/11/6
N2 - We study the Linearized Navier-Stokes (LNS) equations from an input-output point of view by analyzing their spatio-temporal frequency responses. We show how the relative roles of Tollmien-Schlichting (TS) waves and streamwise vortices and streaks can be explained as input-output resonances of the spatio-temporal frequency responses. Furthermore, we derive important conclusions about the effectiveness of input field components, and the contributions of the stream-wise, wall-normal, and spanwise velocity perturbations to the kinetic energy density. In particular, we show that the wall-normal and spanwise forces have much stronger influence on the velocity field than the stream-wise force. On the other hand, the velocity perturbations in the direction of a nominal flow achieve much bigger magnitudes than the perturbations in the other two spatial directions.
AB - We study the Linearized Navier-Stokes (LNS) equations from an input-output point of view by analyzing their spatio-temporal frequency responses. We show how the relative roles of Tollmien-Schlichting (TS) waves and streamwise vortices and streaks can be explained as input-output resonances of the spatio-temporal frequency responses. Furthermore, we derive important conclusions about the effectiveness of input field components, and the contributions of the stream-wise, wall-normal, and spanwise velocity perturbations to the kinetic energy density. In particular, we show that the wall-normal and spanwise forces have much stronger influence on the velocity field than the stream-wise force. On the other hand, the velocity perturbations in the direction of a nominal flow achieve much bigger magnitudes than the perturbations in the other two spatial directions.
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M3 - Conference article
AN - SCOPUS:0142152958
SN - 0743-1619
VL - 4
SP - 3190
EP - 3195
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - 2003 American Control Conference
Y2 - 4 June 2003 through 6 June 2003
ER -