Free-surface flow data

In memory of the late William G. Pritchard, I would like to make available some of his experimental data, suitable for testing viscous free-surface flow solvers. The experiment concerns the free surface flow of a viscous oil driven by gravity down an inclined plane and over two sinusoidal bumps. Measurements of the free surface height along the centreline are given for a range of flow rates. The profile of the bed is also available. For details of the experiment, and asymptotic and numerical methods to compute the flow see

1. "Numerical and asymptotic methods for certain viscous free-surface flows" by W.G. Pritchard, L.R. Scott and S.J. Tavener, Phil. Trans. R. Soc. Lond. A 340 , 1-45, (1992), and
2. "An orthogonal mapping technique for the computation of a viscous free-surface flow" by K.A. Cliffe, S.J. Tavener and A.A. Wheeler, Int. J. Numer. Meth. Fluids 15 , 1243-1258, (1992).
   

The Reynolds number $Re = {UH \over \nu}$ where $U = Q/H$ and $Q$ is the volume flow per unit width, $H$ is the asymptotic free surface depth and $\nu$ is the kinematic viscosity.

The surface tension parameter $S = {T \over \rho \nu U}$ where $T$ is the surface tension and $\rho$ is the density.

All distances are given in centimeters.

1. Reynolds number = 0.369
2. Reynolds number = 2.44
3. Reynolds number = 5.03
4. Reynolds number = 7.59
5. Reynolds number = 12.2
6. Reynolds number = 16.2
7. Reynolds number = 20.5
8. Reynolds number = 25.5
9. Reynolds number = 31.4
10. Reynolds number = 36.6