TITLE:
Kolmogorov Flow: Seven Decades of History
AUTHORS:
Emmanouil D. Fylladitakis
KEYWORDS:
Kolmogorov Flow, Magnetohydrodynamics, Two-Dimensional Flows, Review
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.11,
November
19,
2018
ABSTRACT: 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.