Author(s)

Emmanouil D. Fylladitakis

Electrical & Electronic Engineering Department, Faculty of Engineering, University of West Attica, Athens, Greece.

The Kolmogorov flow (k-flow) is generated by a stationary sinusoidal force that varies in space. This flow is rather academic since generating such a periodic forcing in an unbounded flow is difficult to appear in nature. Nevertheless, it allows for simple experimental measurements and for a fairly detailed analytical treatment. Although simple, the k-flow makes a good test case for investigating simultaneously inhomogeneous, sheared, and anisotropic features in a flow, and several studies concerning the stability, transition, and turbulence of the k-flow have been published. The present article reviews the most important published works incorporating the k-flow as a test-bed for studying fluid mechanics, testing numerical or experimental methods, or even studying the properties of the k-flow itself.

Kolmogorov Flow, Magnetohydrodynamics, Two-Dimensional Flows, Review

Fylladitakis, E. (2018) Kolmogorov Flow: Seven Decades of History. Journal of Applied Mathematics and Physics, 6, 2227-2263. doi: 10.4236/jamp.2018.611187.