Roll waves and slug flows are established as two distinctly different wave patterns and are phenomenologically studied in an inclined open channel. The basic characteristics of flow are expressed in terms of pertinent physical properties. A theory is presented and reference is made to similar phenomena in allied fields in which mathematical analyses exist. It is hoped that this study will extend the present knowledge (1961) of unsteady phenomena in open channel flow.
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Paul Mayer (1961) studied this question.