The effect of surface tension on the shape of fingers in a Hele Shaw cell
The effect of surface tension on the shape of fingers in a Hele Shaw cell
The experimental results of Saffman & Taylor (1958) and Pitts (1980) on fingering in a Hele Shaw cell are modelled by two-dimensional potential flow with surface-tension effects included at the interface. Using free streamline techniques, the shape of the free surface is expressed as the solution of a nonlinear integro-differential …