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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-23112
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dc.contributor.authorZhang, Zh.-
dc.date.accessioned2021-09-13T08:38:57Z-
dc.date.available2021-09-13T08:38:57Z-
dc.date.issued2021-04-07-
dc.identifier.issn1001-6058de_CH
dc.identifier.issn1878-0342de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/23112-
dc.description.abstractTo make the Kaplan turbine technology comparable to both the Pelton and the Francis turbine, the master equation for the Kaplan turbine has been established by analyses similar to that for the Francis turbine. The analysis begins with the descriptions of free vortex flows at the runner inlet and the swirl flow at the impeller exit. By considering the Euler equation for specific work and by further evaluating the most significant shock and swirling losses, the first and the second energy equations in the form of hydraulic efficiency were formulated. The master equation is then established by combining both energy equations. In addition, three design equations and a new design parameter are presented. The master equation relates the turbine hydromechanics to the geometrical design of both the runner and the guide-vane parameters. It enables the complete hydraulic characteristics of a given Kaplan turbine to be analytically and simply computed. A computation example demonstrates the functionality and applicability of the method. With the reconstructed master equation, the runaway speed of the Kaplan turbine and its dependence on the guide-vane setting can be easily and precisely computed. For bulb turbines with guide vanes directly ahead of the turbine runner in the same tube, all computations are also applicable using another equivalent control parameter.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofJournal of Hydrodynamicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectKaplan turbinede_CH
dc.subjectMaster equationde_CH
dc.subjectDesign equationde_CH
dc.subjectRunaway speedde_CH
dc.subjectHydraulic efficiencyde_CH
dc.subjectShock lossde_CH
dc.subjectSwirling lossde_CH
dc.subjectBulb turbinede_CH
dc.subject.ddc620: Ingenieurwesende_CH
dc.titleMaster equation, design equations and runaway speed of the Kaplan turbinede_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Energiesysteme und Fluid-Engineering (IEFE)de_CH
dc.identifier.doi10.1007/s42241-021-0020-1de_CH
dc.identifier.doi10.21256/zhaw-23112-
zhaw.funding.euNode_CH
zhaw.issue2de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end300de_CH
zhaw.pages.start282de_CH
zhaw.publication.statusacceptedVersionde_CH
zhaw.volume33de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.webfeedErneuerbare Energiende_CH
zhaw.webfeedData Management & Visualisationde_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
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Zhang, Zh. (2021). Master equation, design equations and runaway speed of the Kaplan turbine. Journal of Hydrodynamics, 33(2), 282–300. https://doi.org/10.1007/s42241-021-0020-1
Zhang, Zh. (2021) ‘Master equation, design equations and runaway speed of the Kaplan turbine’, Journal of Hydrodynamics, 33(2), pp. 282–300. Available at: https://doi.org/10.1007/s42241-021-0020-1.
Zh. Zhang, “Master equation, design equations and runaway speed of the Kaplan turbine,” Journal of Hydrodynamics, vol. 33, no. 2, pp. 282–300, Apr. 2021, doi: 10.1007/s42241-021-0020-1.
ZHANG, Zh., 2021. Master equation, design equations and runaway speed of the Kaplan turbine. Journal of Hydrodynamics. 7 April 2021. Bd. 33, Nr. 2, S. 282–300. DOI 10.1007/s42241-021-0020-1
Zhang, Zh. 2021. “Master Equation, Design Equations and Runaway Speed of the Kaplan Turbine.” Journal of Hydrodynamics 33 (2): 282–300. https://doi.org/10.1007/s42241-021-0020-1.
Zhang, Zh. “Master Equation, Design Equations and Runaway Speed of the Kaplan Turbine.” Journal of Hydrodynamics, vol. 33, no. 2, Apr. 2021, pp. 282–300, https://doi.org/10.1007/s42241-021-0020-1.


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