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      KCI등재 SCIE SCOPUS

      Dynamic Response of Low-Aspect-Ratio Cantilever NACA0012 Airfoil at Low-To-Moderate Reynolds Numbers

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      https://www.riss.kr/link?id=A105909666

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      다국어 초록 (Multilingual Abstract)

      The influence of the angle of attack (AoA) and the chord based Reynolds number (Rec) on the lift and drag coefficients has been analyzed experimentally in a low-aspect-ratio NACA0012 airfoil, AR = 2. Results are shown for chord based Reynolds numb...

      The influence of the angle of attack (AoA) and the chord based Reynolds number (Rec) on the lift and drag coefficients has been analyzed experimentally in a low-aspect-ratio NACA0012 airfoil, AR = 2. Results are shown for chord based Reynolds numbers in the range 3.33 × 104 ≤ Rec ≤ 1.33 × 105 and AoA between 0º and +35º, the stall angle being close to 12º. The aerodynamic characteristics show an increase and decrease of lift and drag force fluctuations for AoA greater than the stall angle. The explanation of how these aerodynamic variations appear has been reported numerically and it is based on two-dimensional effects which are mainly the unstable laminar separation bubble (LSB) and the subsequent downstream propagation of leading edge vortex (LEV) as AoA increases. In addition, the dynamic response of the wing has been studied using frequency analysis. We compute the power spectral density (PSD) from the temporal evolution of the net force exerted over the wing, showing that the main response of the wing is the presence of two natural frequencies of the wing-base system. The mean PSD suddenly increases for Rec ≈ 1 × 105, particularly at AoA exceeding the critical point that corresponds to the stall angle. Finally, and despite from the fact that our model is rigid, we find PSD peaks at very low and high frequencies in agreement with other authors’ results which correspond to energetic modes in the wingtip vortex and the formation and emission of coherent turbulent structures behind the airfoil, respectively.

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      참고문헌 (Reference)

      1 Lee T, "Wing tip vortex control via the use of a reverse half-delta wing" 52 : 1593-1609, 2012

      2 Yarusevych S, "Vortex shedding of an airfoil at low Reynolds-numbers" 49 (49): 2221-2227, 2011

      3 Huang RF, "Vortex shedding and shear-layer instability of wing at low-Reynolds numbers" 33 (33): 1398-1403, 1995

      4 Huang RF, "Turbulence effects on frequency characteristics of unsteadymotions inwake of wing" 38 (38): 85-93, 2000

      5 Bertagnolio F, "Tuning of turbulent boundary layer anisotropy for improved surface pressure and trailing-edge noise modeling" 333 : 991-1010, 2014

      6 Warburton GB, "The vibration of rectangular plates" 168 (168): 371-384, 1954

      7 Mahbub Alam M, "The ultra-low Reynolds number airfoil wake" 48 : 81-103, 2010

      8 Moreau DJ, "The effect of boundary layer type on trailing edge noise from sharp-edged at plates at low-to-moderate Reynolds number" 331 : 3976-3988, 2012

      9 Devenport WJ, "Sound radiation from real airfoils in turbulence" 329 : 3470-3483, 2010

      10 Poirel D, "Self-sustained aeroelastic oscillations of a NACA 0012 airfoil at low-to-moderate Reynolds numbers" 24 : 700-719, 2008

      1 Lee T, "Wing tip vortex control via the use of a reverse half-delta wing" 52 : 1593-1609, 2012

      2 Yarusevych S, "Vortex shedding of an airfoil at low Reynolds-numbers" 49 (49): 2221-2227, 2011

      3 Huang RF, "Vortex shedding and shear-layer instability of wing at low-Reynolds numbers" 33 (33): 1398-1403, 1995

      4 Huang RF, "Turbulence effects on frequency characteristics of unsteadymotions inwake of wing" 38 (38): 85-93, 2000

      5 Bertagnolio F, "Tuning of turbulent boundary layer anisotropy for improved surface pressure and trailing-edge noise modeling" 333 : 991-1010, 2014

      6 Warburton GB, "The vibration of rectangular plates" 168 (168): 371-384, 1954

      7 Mahbub Alam M, "The ultra-low Reynolds number airfoil wake" 48 : 81-103, 2010

      8 Moreau DJ, "The effect of boundary layer type on trailing edge noise from sharp-edged at plates at low-to-moderate Reynolds number" 331 : 3976-3988, 2012

      9 Devenport WJ, "Sound radiation from real airfoils in turbulence" 329 : 3470-3483, 2010

      10 Poirel D, "Self-sustained aeroelastic oscillations of a NACA 0012 airfoil at low-to-moderate Reynolds numbers" 24 : 700-719, 2008

      11 Boutilier MSH, "Parametric study of separation and transition characteristics over an airfoil at low Reynolds numbers" 52 (52): 1491-1506, 2013

      12 Yarusevych S, "On vortex shedding from an airfoil in low-Reynolds-number flows" 632 : 245-271, 2009

      13 Sharma A, "Numerical investigation of the effect of airfoil thickness on onset of Dynamic stall" 1-32, 2017

      14 Lee T, "Modification of static-wing tip vortex via a slender half-delta wing" 43 : 1-14, 2013

      15 Kim DH, "Low-Reynolds-number effect on the aerodynamic characteristics of a pitching NACA 0012 airfoil" 32 (32): 162-168, 2014

      16 Mueller TJ, "Low Reynolds number vehicles, Report AGARD-AG-288" Advisory Group for Aerospace Research and Development, North Atlantic Treaty Organization 69-, 1985

      17 Ngo HT, "Lifting surface with active variable tip member and method for influencing lifting surface behavior therewith;United State Patent No. US 6.394.397 B1"

      18 Gerakopulos RJ, "Investigating flow over an airfoil at low Reynolds numbers using novel time-resolved surface pressure measurements" University of Waterloo 2011

      19 Lee HW, "Frequency selection of wake flow behing a NACA 0012 wing" 6 (6): 29-37, 1998

      20 Zhou Y, "Fluid forces on a very low Reynolds number airfoil and their prediction" 32 : 329-339, 2011

      21 Goldstein RJ, "Fluid Mechanics Measurements" Hemisphere Publishing Corporation 1983

      22 Rojratsirikul P, "Flow-induced vibrations of lowaspect ratio rectangular membrane wings" 27 : 1296-1309, 2011

      23 Moreau DJ, "Flow-induced noise of a wall-mounted finite airfoil at low-tomoderate Reynolds number" 333 : 6924-6941, 2014

      24 Yen SC, "Flow patterns and aerodynamics performance of unswept and swept-back wings" 131 (131): 111101-, 2009

      25 Roy C, "Experiments on vortex meandering" 2008

      26 Dalley IW, "Experimental values of natural frequencies for skew and rectangular cantilever plates" 9 (9): 51-66, 1952

      27 Fedoul F, "Experimental study of the aerodynamic characteristics of a low-aspectratio at plate array in a configuration of interest for a tidal energy converter" 48 : 487-496, 2014

      28 Huang RF, "Effects of freestream turbulence on wing-surface flow and aerodynamic performance" 36 (36): 965-972, 1999

      29 Rojratsirikul P, "Effect of pre-strain and excess length on unsteady fluid structure interactions of membrane airfoils" 26 : 359-376, 2010

      30 del Pino C, "Dynamics of the wing-tip cortex in the near field of a NACA 0012 airfoil" 115 (115): 229-239, 2011

      31 Ikeda T, "Direct simulations of trailingedge noise generation from two-dimensional airfoils at low Reynolds numbers" 331 : 556-574, 2012

      32 Rodriguez I, "Direct numerical simulation of a NACA0012 in full stall" 43 : 194-203, 2013

      33 Kline SJ, "Describing uncertainties in singlesample experiments" 75 (75): 3-8, 1953

      34 Gad-el Hak M, "Control of low-speed airfoil aerodynamics" 28 (28): 1537-1552, 1990

      35 Martinez-Aranda S, "Comparison of the aerodynamic characteristics of the NACA 0012 airfoil at low-to-moderate Reynolds numbers for any aspect ratio" 4 (4): 1-8, 2016

      36 Kim D-H, "Boundary layer and near-wake measurements of NACA 0012 airfoil at low Reynolds numbers" 1-12, 2009

      37 PeiChong T, "An experimental study of airfoil instability tonal noise with trailing edge serrations" 332 : 6335-6358, 2013

      38 Mueller TJ, "Aerodynamics of low aspect ratio wings at low Reynolds numbers with application to micro-air vehicles design an optimization, Final Report UNDAS-FR-2025" Naval Research Laboratory 1-126, 2001

      39 Poirel D, "Aerodynamics of laminar separation flutter at a transitional Reynolds number" 26 : 1174-1194, 2010

      40 Mueller TJ, "Aerodynamics measurement at low Reynolds numbers for fixed wing micro-air vehicles" VKI 1-32, 1999

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