Stability of Liquid Film Flow down an Inclined Plane with Oblique Airflow

The hydrodynamic stability of a liquid film of uniform thickness and constant viscosity flowing down an inclined plane is examined, subject to a wind stress in some direction on its surface and having insoluble surface contaminants present. The intention is to discover how these two instabilities—that due to gravity and that due to wind stress—are related for a three‐dimensional primary flow and to find criteria for the onset of instability. Previous work is discussed in relation to the results.