Although perfect simulation will not be possible, I believe it would be most important to match the Froude number, as explained at:
http://www.fsl.orst.edu/geowater/FX3/help/8_Hydraulic_Reference/Froude_Number_and_Flow_States.htm
A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.40 m/s will leave the end of a horizontal channel at the top of a vertical wall 3.90 m high, and from there the water falls into a pool.
To sell her plan to the city council, the architect wants to build a model to standard scale, one-seventeenth actual size. How fast should the water flow in the channel in the model?
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