The lubrication approximation is used to obtain a complete description of the steady unidirectional flow of a thin rivulet of perfectly wetting fluid on an inclined substrate subject to a prescribed uniform longitudinal surface shear stress. The quasi-steady stability of such a rivulet is analysed, and the conditions under which it is energetically favourable for such a rivulet to split into one or more subrivulets are determined.
|Number of pages||36|
|Journal||Quarterly Journal of Mechanics and Applied Mathematics|
|Publication status||Published - Feb 2008|
- lubrication approximation
- thin rivulet
- surface shear stress