Phase front analysis of vortex streets
| Autor: | Boye Ahlborn, Marcel Lefrançois |
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| Rok vydání: | 1994 |
| Předmět: | |
| Zdroj: | Physics of Fluids. 6:2021-2031 |
| ISSN: | 1089-7666 1070-6631 |
| Popis: | The continuous formation and development of a laminar vortex street behind a circular cylinder of radius D in a flow of velocity U∞ has been modeled as a Huygens‐type wave process, where the transverse velocity Uy and the vorticity ω in the near wake oscillate at the vortex shedding frequency f. Starting from the Biot–Savart law for fluids a phase front propagation integral is derived. This formalism is used to calculate for each point along the span the phase of vortex shedding as a function of the phase of the previously shed vortex generation and the shedding frequency. The amplitude is determined by a simple renormalization calculation. In good agreement with experiments, the model predicts the propagation of spanwise phase perturbations into subsequent vortex generations for two‐dimensional (2‐D) flow geometries and the cell formation in three‐dimensional flows around tapered cylinders. |
| Databáze: | OpenAIRE |
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