TECHNICAL NOTES
Jan 10, 2011

Upper Limit for Hydropower in an Open-Channel Flow

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 11

Abstract

It is proved on the basis of the axiomatic energy equation that the theoretical upper limit for the hydropower gained by a water wheel or turbine per unit width in a rectangular open channel cannot exceed (2/5)5/2ρg3/2Heff5/2 by any means in which Heff = effective water head, which is the sum of specific energy E1=h1+u12/2g and the drop of ground level Δz; ρ = density; and g = gravity body force. As a dimensionless measure, a coefficient of performance or harvesting factor is introduced that is an analogue to the one introduced by Albert Betz for wind turbines.

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References

Bassett, D. E. (1989). “A historical survey of low head hydropower generators and recent laboratory based work at the University of Salford.” Ph.D. thesis, Univ. of Salford, Salford, UK.
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Troger, M. (2008). “Wie effizient sind Wasserräder zur Gewinnung von Energie in Fließgewässern mit geringen Fallhöhen?” Diplomarbeit, Technische Universität Darmstadt, Darmstadt, Germany (in German).
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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 11November 2011
Pages: 1536 - 1542

History

Received: Jul 8, 2009
Accepted: Jan 7, 2011
Published online: Jan 10, 2011
Published in print: Nov 1, 2011

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Authors

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Peter F. Pelz [email protected]
Professor and Head of the Chair of Fluid Systems Technology, Technische Universität Darmstadt, Magdalenenstraße 4, 64289 Darmstadt, Germany. E-mail: [email protected]

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