Theoretical foundations for flows involving vorticity

Emmanuel Simon Pierre Branlard

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    This chapter introduces the fluid mechanics foundations that are relevant for this book. The fluid mechanics equations are given for inertial and non-inertial frames. The chapter presents vorticity kinematics and dynamics and the main theorems involving vorticity. The equations presented are necessary to the development of vorticity-based methods, both analytical and numerical. Some classical results of vortices in viscous and inviscid fluid are provided due to their relevance for the validation of numerical vortex menates and 3D axisymmetric flows are developed in details. They are conveniently used for the study of rotor. Two-dimensional potential flows and conformal mapping solutions are introduced. They are relevant for the implementation and validation of vortex methods and the derivation of Prandtl’s tip-loss factor. A Matlab code to compute the Karman-Trefftz map is provided.
    Original languageEnglish
    Title of host publicationWind Turbine Aerodynamics and Vorticity-Based Methods
    Number of pages72
    Place of PublicationCham
    Publication date2017
    ISBN (Print)978-3-319-55163-0
    ISBN (Electronic)978-3-319-55164-7
    Publication statusPublished - 2017
    SeriesResearch Topics in Wind Energy


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