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A Method for Computing the Core Flow in Three-Dimensional Leading-Edge VorticesA theory is presented for calculating the flow in the core of a separation-induced leading-edge vortex. The method is based on matching inner and outer representations of the vortex. The inner model of the vortex is based on the quasicylindrical Navier-Stokes equations; the flow is assumed to be steady, axially symmetric, and incompressible and in addition, gradients in the radial direction are assumed to be much larger then gradients in the axial direction. The outer model is based on the three-dimensional free-vortex-sheet theory, a higher-order panel method which solves the Prandtl-Glauert equation including nonlinear boundary conditions pertinent to the concentrated vorticity representation of the leading edge vortex. The resultant flow is evaluated a posteriori for evidence of incipient vortex breakdown and the critical helix angle concept, in conjunction with an adverse longitudinal pressure gradient, is found to correlate well with the occurrence of vortex breakdown at the trailing edge of delta, arrow, and diamond wings.
Document ID
19850021620
Acquisition Source
Legacy CDMS
Document Type
Thesis/Dissertation
Authors
Luckring, J. M. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
January 1, 1985
Subject Category
Aerodynamics
Report/Patent Number
NAS 1.15:87489
NASA-TM-87489
Accession Number
85N29932
Distribution Limits
Public
Copyright
Public Use Permitted.

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