Master equation and runaway speed of the Francis turbine
Autor: | Zh. Zhang |
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Rok vydání: | 2018 |
Předmět: |
Physics
Angular momentum Shock (fluid dynamics) 020209 energy Mechanical Engineering Francis turbine Rotational speed 02 engineering and technology Mechanics Condensed Matter Physics 01 natural sciences Turbine 010305 fluids & plasmas law.invention Impeller Mechanics of Materials law Modeling and Simulation 0103 physical sciences Master equation 0202 electrical engineering electronic engineering information engineering Torque |
Zdroj: | Journal of Hydrodynamics. 30:203-217 |
ISSN: | 1878-0342 1001-6058 |
DOI: | 10.1007/s42241-018-0026-5 |
Popis: | The master equation of the Francis turbine is derived based on the combination of the angular momentum (Euler) and the energy laws. It relates the geometrical design of the impeller and the regulation settings (guide vane angle and rotational speed) to the discharge and the power output. The master equation, thus, enables the complete characteristics of a given Francis turbine to be easily computed. While applying the energy law, both the shock loss at the impeller inlet and the swirling loss at the impeller exit are taken into account. These are main losses which occur at both the partial load and the overloads and, thus, dominantly influence the characteristics of the Francis turbine. They also totally govern the discharge of the water through the impeller when the impeller is found in the standstill. The computations have been performed for the discharge, the hydraulic torque and the hydraulic efficiency. They were also compared with the available measurements on a model turbine. Excellent agreement has been achieved. The computations also enable the runaway speed of the Francis turbine and the related discharge to be determined as a function of the setting angle of the guide vanes. |
Databáze: | OpenAIRE |
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