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Numerical investigation of aeroelastic forces and pressures on joukowski foils of variable thickness due to pitching motion
, Catlett M.R., Anderson J.M., Badrya C., Baeder J.D.
Published in American Institute of Aeronautics and Astronautics Inc, AIAA
2018
Abstract
Unsteady forces and pressures generated by foils experiencing vibratory aeroelastic motion in an incompressible fluid are studied within this work. Specifically, two-dimensional, unsteady potential flow and unsteady Reynold-Averaged Navier-Stokes calculations are performed on Joukowski foils of variable maximum thickness undergoing sinusoidal as well as broadband, small-scale vibratory motion at a chord-based Reynolds number of 106 in order to ascertain the effects of finite foil thickness. The unsteady potential flow calculations leverage the use of conformal mapping to convert results generated for a two-dimensional circle into the foil plane. The present work only considers pitching disturbances about the foil mid-chord, though this is a continuation of recent work which considered heaving disturbances. The calculated results are assessed in terms of the spatially-distributed, unsteady pressures and unsteady lift force acting on the foil geometries. These calculated results from both approaches are compared directly to predicted results achieved from implementing the Theodorsen model, which treats foils as infinitely thin flat plates. The calculated results compare very well to the Theodoresen model for both sinusoidal and broadband pitching disturbances. Additionally, identification of the specific terms within the unsteady problem which control the generated pressures and forces is discussed. The present calculations exhibit that finite foil thickness does induce changes to the unsteady pressures and lift force relative to the Theodorsen model, though this characteristic does not appear to drastically alter these unsteady values. Maximum thickness to chord ratios up to 15% were implemented which resulted in slight variations of the unsteady lift; however, differences of up to ± 4 dB’s were observed for differential pressure across the foil profile. © 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.
About the journal
Journal2018 Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Open AccessNo