1. Optimal design for the free-stream water wheel: A two-dimensional study
- Author
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Dominique Thévenin, Sebastian Engel, Stefan Hoerner, Olivier Cleynen, and Otto-von-Guericke University [Magdeburg] (OVGU)
- Subjects
Optimal design ,Mathematical optimization ,Computer science ,020209 energy ,02 engineering and technology ,Computational fluid dynamics ,Multi-objective optimization ,Industrial and Manufacturing Engineering ,law.invention ,[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] ,[SPI]Engineering Sciences [physics] ,020401 chemical engineering ,law ,0202 electrical engineering, electronic engineering, information engineering ,0204 chemical engineering ,Electrical and Electronic Engineering ,Water wheel ,Hydropower ,ComputingMilieux_MISCELLANEOUS ,Civil and Structural Engineering ,business.industry ,Rotor (electric) ,Mechanical Engineering ,Blade geometry ,Building and Construction ,Pollution ,Power (physics) ,General Energy ,business - Abstract
Free-stream water wheels running on floating river installations may contribute to hydropower production as part of a decentralized network meeting the highest ecological standards. While such devices are certainly not novel, their dynamics are complex and a need exists for an optimization of their power-producing characteristics. In this work, a parametrized two-dimensional computational fluid dynamics simulation is coupled to a genetic optimizer seeking to maximize the generated shaft power within a large domain of design parameters. Two objectives are pursued simultaneously: maximize the hydraulic efficiency, and maximize the power density of the device. After nearly 2000 individuals are evaluated, a Pareto front is identified; a family of designs is created to cover the trade-off between the two objectives. The results indicate that compared to operators constrained by the flow-exposed area, operators constrained by the rotor size would trade a 40% reduction in hydraulic performance in order to gain a 50% increase in power per unit rotor area. This optimization of the free-stream water wheel, the first in published literature to our knowledge, allows for the quantification of this trade-off and the publication of broadly-applicable design guidelines for the corresponding optimal blade geometry, number of blades, radius, and depth.
- Published
- 2021
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