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Numerical calculations of velocity and pressure distribution around oscillating airfoilsAn analytical procedure based on the Navier-Stokes equations was developed for analyzing and representing properties of unsteady viscous flow around oscillating obstacles. A variational formulation of the vorticity transport equation was discretized in finite element form and integrated numerically. At each time step of the numerical integration, the velocity field around the obstacle was determined for the instantaneous vorticity distribution from the finite element solution of Poisson's equation. The time-dependent boundary conditions around the oscillating obstacle were introduced as external constraints, using the Lagrangian Multiplier Technique, at each time step of the numerical integration. The procedure was then applied for determining pressures around obstacles oscillating in unsteady flow. The obtained results for a cylinder and an airfoil were illustrated in the form of streamlines and vorticity and pressure distributions.
Document ID
19740008591
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Bratanow, T. (Wisconsin Univ. Milwaukee, WI, United States)
Ecer, A. (Wisconsin Univ. Milwaukee, WI, United States)
Kobiske, M. (Wisconsin Univ. Milwaukee, WI, United States)
Date Acquired
September 3, 2013
Publication Date
February 1, 1974
Publication Information
Publisher: NASA
Subject Category
Aerodynamics
Report/Patent Number
NASA-CR-2368
Accession Number
74N16704
Funding Number(s)
CONTRACT_GRANT: NGR-50-007-001
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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