Flows with a spread distribution of vorticity

Emmanuel Simon Pierre Branlard

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Abstract

This chapter derives the velocity fields and properties for some analytical flows involving a spread distribution of vorticity. Different examples of axisymmetric vorticity patches are presented, e.g. the rigid-body vortex patch and the inviscid vortex patch. They are convenient analytical solutions to study and validate numerical vortex methods. The inviscid vortex patch is studied in details in this chapter since it is highly used in Part VII to investigate the different aspects of vortex methods. The velocity field of a rectangular vorticity patch (or 2D vortex brick) is also provided.
Original languageEnglish
Title of host publicationWind Turbine Aerodynamics and Vorticity-Based Methods
Number of pages6
Volume7
Place of PublicationCham
Publication date2017
Pages401-406
Chapter33
ISBN (Print)978-3-319-55163-0
ISBN (Electronic)978-3-319-55164-7
DOIs
Publication statusPublished - 2017
SeriesResearch Topics in Wind Energy
ISSN2196-7806

Cite this

Branlard, E. S. P. (2017). Flows with a spread distribution of vorticity. In Wind Turbine Aerodynamics and Vorticity-Based Methods (Vol. 7, pp. 401-406). Research Topics in Wind Energy https://doi.org/10.1007/978-3-319-55164-7_33