The response of the two-dimensional velocity field to a single eigenmode driving a fluid flow is analyzed. It is shown that independent of its amplitude such a driving force cannot lead to Kraichnan's inertial range spectrum. At least a pair of eigenmodes, one acting as a power source, and the other as a power sink, is necessary to obtain a separation of length scales and an accompanying statistically steady inertial spectral range.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes