Lots of reading later and it seems that the crucial issue is the ratio of the width of the inlet 'jet' to the runner diameter. Normally this ratio would be around 0.1(the diameter being 10 times the height of the jet), but then the runner lenght and width need to be huge to accomodate the flow.
I found a good design manual on Scribd,
Crossflow Design Manual by Abhiroop Chattopadhyay. Unfortunately it doesn't show how certain key constants are derived so it's not clear if it is suitable for designing an ultra low head turbine.
The formula used for determining the Jet size is...
s=(0.22*Q)/(L*Sqrt(H))
where Q is the flow, L is the runner lenght and H is the head (all in meters).
By using a constant 0.22 in the above equation, the ratio of the Jet to the Diameter is 0.084 so the turbine runner ends up massive.
For a head of 0.9m and a flow of 0.35m3/s, the optimum runner appears to be have a diameter of 0.45m and a lenght of 2.15m running at 84 RPM. That's pretty big! But at least the fabrication and balancing of it would be fairly simple. Incidently, the radius of the blades would be 73mm so they could be cut from a 150mm pipe.
And how much power might it produce? From a hydraulic power of 3kw and a 60% turbine efficiency, a generator efficiency of 85% it
might produce 1.5kw.
More reading required to determine the effect of moving the Jet/Diameter ratio from 0.084 towards 0.15.
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