Abstract
The research on the formation of structures (regular rivulets) in a liquid film flowing down under the action of gravity has been reviewed. Here we present an analysis of the studies on such structures over the past 30 years. It is shown that various types of instability of the film flow have been found: hydrodynamic, which is observed in isothermal films during the transition from two-dimensional wavy flow to three-dimensional one, and thermocapillary, which leads to the formation of regular rivulets on the film surface when heated from below. The formation of rivulets was also observed when an isothermal surface was wetted with a thin liquid film. During boiling, regular structures appeared in the form of rivulets with dry areas in between. In this work, each type of instability and the ordered structures that arise are considered separately. Their main features and characteristics, as well as the regions of dimensionless parameters in which they are observed, are highlighted.
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