1) 10 Hydroturbines are in a line, fitted inside a 1m diameter vertical tube its height 1.2km.(adsbygoogle = window.adsbygoogle || []).push({});

The top of the tube is 100m deep underwater in a high mountain saltwater lake.

This 1200m long tube acts like an orthogonal drainpipe down the mountain.

Hdyroturbine-A, hydroturbine-B,....Hydroturbine-J.

These ten hydroturbines are spaced 100m apart and the first turbine-A is located 100m down the tube giving the head of water (200m) on the first turbine. Each turbine is 100m below the one above with a height from the last hydroturbine-J of 100m to the bottom of the tube which is 50m above sea level, falling freely.

2) The flow rate through each turbine is governed by the turbine aperture and allows 1m3/sec flowrate ( tube is 1m in diameter).

3) Is it right to say that the head of water that reaches each turbine-A to J will be the product of the head of water between each turbine (100m) plus the weight of water above it multiplied by gravity minus resistance of turbine blades at each hydroturbine and the resistance of the tube walls? The outlet at the bottom of the tube falls into an open reservoir depressurising the water.

4) Decide on which is the best hydroturbine for this application ( Impulse??),

http://energy.gov/eere/water/types-hydropower-turbines

and calculate the power produced at each turbine (A to J) then the sum of the power produced.

Resistance losses are also to be calculated in each turbine (Rt) and the wall resistance (Rw) of the vertical tube, should be less important.

I hope to have some responses soon to discuss how to solve.

Many Thanks

Will

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# Can this be solved without a knowledge of turbines?

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