| Abstract: | Finite difference numerical solutions have been obtained to the Navier-Stokes equations for entry-region flow in a falling liquid film issuing from a slot. The iterative method developed does not neglect surface tension forces, however the effect of surface tension on the film acceleration is shown to be small. The results show a smooth transition between the initial velocity profile and the final fully-developed profile. The starting length, defined as the distance required for the surface velocity to reach 95% of its final value, is on the order of 20 times the initial film thickness and increases with Reynolds number. A comparison of the calculations with available experimental data shows fair agreement. |
