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- W2110784114 abstract "We consider the tangential boundary layers of the bidirectional vortex, specifically, those forming near the core and sidewall of a swirl-driven cyclonic chamber. The analysis is based on the regularized, tangential momentum equation. The latter is rescaled in a manner to capture the forced vortex near the chamber axis and the no slip requirement at the sidewall. After identifying the coordinate transformations needed to resolve the rapid changes in the regions of nonuniformity, two inner expansions are arrived at. These expansions are then matched with the outer, free vortex solution. By combining inner and outer expansions, uniformly valid approximations are obtained for the swirl velocity, vorticity, and pressure. These are shown to be strongly influenced by the vortex Reynolds number, V. This key parameter appears as a ratio of the mean flow Reynolds number and the product of the swirl number and chamber aspect ratio. Based on V, several fundamental features of the bidirectional vortex are quantified. Among them are the thicknesses of the viscous core and sidewall boundary layers; these decrease with V 1/2 and V, respectively. The converse may be said of the maximum swirl velocity which increases with V 1/2 . In the same vein, the angular speed of the rigid-body rotation characteristic of the forced vortex is found to be linearly proportional to V. The form of the swirl velocity is reminiscent of Sullivan's vortex; here, it is based on the aspect ratio of the chamber. The resulting theoretical predictions are found to be in good agreement with PIV measurements and Navier-Stokes simulations." @default.
- W2110784114 created "2016-06-24" @default.
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- W2110784114 date "2006-07-09" @default.
- W2110784114 modified "2023-10-16" @default.
- W2110784114 title "Characterization of the Tangential Boundary Layers in the Bidirectional Vortex Thrust Chamber" @default.
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- W2110784114 doi "https://doi.org/10.2514/6.2006-4888" @default.
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