Laminar Separation Bubble and Flow Topology of NACA 0015 at Low Reynolds Number
DOI:
https://doi.org/10.37934/cfdl.13.10.3651Keywords:
Low-Reynolds Number, SST γ-〖Re〗_θ- model, Transition simulation, Laminar separation bubble, NACA 0015 airfoilAbstract
The development of sophisticated unmanned aerial vehicles and wind turbines for daily activities has triggered the interest of researchers. However, understanding the flow phenomena is a strenuous task due to the complexity of the flow field. The engaging topic calls for more research at low Reynolds numbers. The computational investigations on a two-dimensional (2D) airfoil are presented in this paper. Numerical simulation of unsteady, laminar-turbulent flow around NACA 0015 airfoil was performed by using shear-stress transport (SST) model at relatively low Reynolds number (8.4 × 104 to 1.7 × 105) and moderate angles of attack (0 ≤ α ≤ 6). In general, on the suction side, with increasing Reynolds number and angles of attack, separation, and reattachment point shifts upstream and concurrently shrinking the size of the laminar bubble. However, On the pressure side, the laminar bubble is seen to move toward the trailing edge at the relatively same size as the angle of attack increases. Moreover, the variations in the angle of attack have more influence on the laminar separation bubble characteristics as compared to the Reynolds number. The reattachment points were barely observed for the range of the angles of attack studied. At very high angles of attack, it is recommended to simulate the flow field using large eddy simulation or direct numerical simulation since the flow is considered three-dimensional and detached from the surface thus forming a complex phenomenon.
References
Kurelek, John W., Burak A. Tuna, Serhiy Yarusevych, and Marios Kotsonis. "Three-Dimensional Development of Coherent Structures in a Two-Dimensional Laminar Separation Bubble." AIAA Journal 59, no. 2 (2021): 493-505. https://doi.org/10.2514/1.J059700
Singh, N. K. "Instability and Transition in a Laminar Separation Bubble." Journal of Applied Fluid Mechanics 12, no. 5 (2019): 1511-1525. https://doi.org/10.29252/jafm.12.05.29607
ElJack, Eltayeb. "High-fidelity numerical simulation of the flow field around a NACA-0012 aerofoil from the laminar separation bubble to a full stall." International Journal of Computational Fluid Dynamics 31, no. 4-5 (2017): 230-245. https://doi.org/10.1080/10618562.2017.1330953
Miozzi, Massimo, Alessandro Capone, Marco Costantini, Lorenzo Fratto, Christian Klein, and Fabio Di Felice. "Skin friction and coherent structures within a laminar separation bubble." Experiments in Fluids 60, no. 1 (2019): 1-25. https://doi.org/10.1007/s00348-018-2651-8
Carmichael, B. H. Low Reynolds number airfoil survey. National Aeronautics and Space Administration, Langley Research Center, 1981.
Alam, Muhammad, and Neil D. Sandham. "Direct numerical simulation of 'short'laminar separation bubbles with turbulent reattachment." Journal of Fluid Mechanics 410 (2000): 1-28. https://doi.org/10.1017/S0022112099008976
Counsil, Joshua NN, and Kiari Goni Boulama. "Low-reynolds-number aerodynamic performances of the NACA 0012 and Selig-Donovan 7003 Airfoils." Journal of Aircraft 50, no. 1 (2013): 204-216. https://doi.org/10.2514/1.C031856
Borgmann, David, Shirzad Hosseinverdi, Jesse C. Little, and Hermann F. Fasel. "Investigation of laminar separation bubbles using experiments, theory and DNS." In AIAA Aviation 2021 Forum, p. 2898. 2021. https://doi.org/10.2514/6.2021-2898
Malkiel, E., and R. E. Mayle. "Transition in a separation bubble." Journal of Turbomachinery 118, no. 4 (1996): 752-759. https://doi.org/10.1115/1.2840931
Owen, P. R., and L. Klanfer. On the laminar boundary layer separation from the leading edge of a thin aerofoilv. Aeronautical Research Council London (United Kingdom), 1953.
McGranahan, Bryan, and Michael Selig. "Surface oil flow measurements on several airfoils at low Reynolds numbers." In 21st AIAA Applied Aerodynamics Conference, p. 4067. 2003. https://doi.org/10.2514/6.2003-4067
Uthra, M. P., and A. Daniel Antony. "Comparative Investigation of Laminar Separation Bubble on a Wing at Low Reynolds Number." International Journal of Vehicle Structures & Systems 12, no. 3 (2020): 337-342. https://doi.org/10.4273/ijvss.12.3.22
Bernardos, Luis F., François Richez, and Vincent Gleize. "RANS modeling of laminar separation bubbles around airfoils at low Reynolds conditions." In AIAA Aviation 2019 Forum, p. 2922. 2019. https://doi.org/10.2514/6.2019-2922
Goni Boulama, Kiari, and Joshua Counsil. "Validation of a low-cost transitional turbulence model for low-Reynolds-number external aerodynamics." In 20th AIAA Computational Fluid Dynamics Conference, p. 3698. 2011. https://doi.org/10.2514/6.2011-3698
Gaster, M. "On the stability of parallel flows and the behaviour of separation bubbles." PhD diss., Queen Mary, University of London, 1963.
Gaster, Michael. "Vortex shedding from slender cones at low Reynolds numbers." Journal of Fluid Mechanics 38, no. 3 (1969): 565-576. https://doi.org/10.1017/S0022112069000346
Horton, H. P. "A Semi-empirical Theory for the Growth and Bursting of Laminar Separation Bubbles." ARC CP 1073 (1967).
Ol, Michael, Brian McCauliffe, Ernest Hanff, Ulrich Scholz, and Christian Kähler. "Comparison of laminar separation bubble measurements on a low Reynolds number airfoil in three facilities." In 35th AIAA Fluid Dynamics Conference and Exhibit, p. 5149. 2005. https://doi.org/10.2514/6.2005-5149
Selig, Michael, James Guglielmo, Andy Broern, and Philippe Giguere. "Experiments on airfoils at low Reynolds numbers." In 34th Aerospace Sciences Meeting and Exhibit, p. 62. 1996. https://doi.org/10.2514/6.1996-62
Lissaman, P. B. S. "Low-Reynolds-number airfoils." Annual Review of Fluid Mechanics 15, no. 1 (1983): 223-239. https://doi.org/10.1146/annurev.fl.15.010183.001255
Fujii, Kozo. "Progress and future prospects of CFD in aerospace-Wind tunnel and beyond." Progress in Aerospace Sciences 41, no. 6 (2005): 455-470. https://doi.org/10.1016/j.paerosci.2005.09.001
Derksen, R. W., M. Agelinchaab, and M. Tachie. "Characteristics of the Flow over a NACA0012 Airfoil at Low Reynolds Numbers." WIT Transactions on Engineering Sciences 59 (2008): 143-152. https://doi.org/10.2495/AFM080141
Yarusevych, Serhiy, John G. Kawall, and Pierre E. Sullivan. "Unsteady separated flow characterization on airfoils using time-resolved surface pressure measurements." AIAA Journal 46, no. 2 (2008): 508-516. https://doi.org/10.2514/1.33306
Wang, Shengyi, Derek B. Ingham, Lin Ma, Mohamed Pourkashanian, and Zhi Tao. "Numerical investigations on dynamic stall of low Reynolds number flow around oscillating airfoils." Computers & Fluids 39, no. 9 (2010): 1529-1541. https://doi.org/10.1016/j.compfluid.2010.05.004
Alam, Mohammad, Keith Walters, and David Thompson. "Simulations of separated flow around an airfoil with ice shape using hybrid RANS/LES models." In 29th AIAA Applied Aerodynamics Conference, p. 3972. 2011. https://doi.org/10.2514/6.2011-3972
Lee, Bumseok, and James D. Baeder. "Prediction and validation of laminar-turbulent transition using SA-γ transition model." In AIAA Scitech 2021 Forum, p. 1532. 2021. https://doi.org/10.2514/6.2021-1532
Rumsey, Christopher L., and David Greenblatt. "Flow Control Predictions Using Unsteady Reynolds-Averaged Navier-Stokes Modeling: A Parametric Study." AIAA Journal 47, no. 9 (2009): 2259-2262. https://doi.org/10.2514/1.41855
Counsil, J. N. N., and K. Goni Boulama. "Validating the URANS shear stress transport γ− Reθ model for low‐Reynolds‐number external aerodynamics." International Journal for Numerical Methods in Fluids 69, no. 8 (2012): 1411-1432. https://doi.org/10.1002/fld.2651
Zheng, Xiaoqing, Chaoqun Liu, Feng Liu, and Cheng‐I. Yang. "Turbulent transition simulation using the k-ω model." International Journal for Numerical Methods in Engineering 42, no. 5 (1998): 907-926. https://doi.org/10.1002/(SICI)1097-0207(19980715)42:5<907::AID-NME393>3.0.CO;2-T
Suluksna, Keerati, and Ekachai Juntasaro. "Assessment of intermittency transport equations for modeling transition in boundary layers subjected to freestream turbulence." International Journal of Heat and Fluid Flow 29, no. 1 (2008): 48-61. https://doi.org/10.1016/j.ijheatfluidflow.2007.08.003
Galbraith, Marshall, and Miguel Visbal. "Implicit large eddy simulation of low-Reynolds-number transitional flow past the SD7003 airfoil." In 40th Fluid Dynamics Conference and Exhibit, p. 4737. 2010. https://doi.org/10.2514/6.2010-4737
Chen, Lili, Zheng Guo, Xiaolong Deng, and Zhongxi Hou. "Aerodynamic performance and transition prediction of low-speed fixed-wing unmanned aerial vehicles in full configuration based on improved γ− Reθ model." Aerospace Science and Technology 107 (2020): 106281. https://doi.org/10.1016/j.ast.2020.106281
Lodefier, Koen, Bart Merci, Chris De Langhe, and Erik Dick. "Transition modelling with the SST turbulence model and an intermittency transport equation." In Turbo Expo: Power for Land, Sea, and Air, vol. 36886, pp. 771-777. 2003. https://doi.org/10.1115/GT2003-38282
Langtry, Robin B., and Florian R. Menter. "Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes." AIAA Journal 47, no. 12 (2009): 2894-2906. https://doi.org/10.2514/1.42362
Menter, Florian R. "Two-equation eddy-viscosity turbulence models for engineering applications." AIAA Journal 32, no. 8 (1994): 1598-1605. https://doi.org/10.2514/3.12149
Baltazar, João, Douwe Rijpkema, and José Falcão de Campos. "On the use of the γ− R˜ eθt transition model for the prediction of the propeller performance at model-scale." Ocean Engineering 170 (2018): 6-19. https://doi.org/10.1016/j.oceaneng.2018.10.005
Sreejith, B. K., A. Sathyabhama, and S. Sandeep Kumar. "Comparative study on the aerodynamic performance of airfoil with boundary layer trip of various geometrical shapes." In Journal of Physics: Conference Series, vol. 1854, no. 1, p. 012003. IOP Publishing, 2021. https://doi.org/10.1088/1742-6596/1854/1/012003
Wauters, Jolan, Joris Degroote, and Jan Vierendeels. "Comparative study of transition models for high-angle-of-attack behavior." AIAA Journal 57, no. 6 (2019): 2356-2371. https://doi.org/10.2514/1.J057249
Rogowski, Krzysztof, Grzegorz Królak, and Galih Bangga. "Numerical Study on the Aerodynamic Characteristics of the NACA 0018 Airfoil at Low Reynolds Number for Darrieus Wind Turbines Using the Transition SST Model." Processes 9, no. 3 (2021): 477. https://doi.org/10.3390/pr9030477
Andan, Amelda Dianne, and Duck-Joo Lee. "Discrete Tonal Noise of NACA0015 Airfoil at Low Reynolds Number." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 53, no. 1 (2019): 129-145.
Langtry, Robin B., and Florian R. Menter. "Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes." AIAA Journal 47, no. 12 (2009): 2894-2906. https://doi.org/10.2514/1.42362
ANSYS. ANSYS Fluent Theory Guide. Release 15.0. ANSYS Inc., 2013.
Miley, Stan J. Catalog of low-Reynolds-number airfoil data for wind-turbine applications. No. RFP-3387. Rockwell International Corp., Golden, CO (USA). Rocky Flats Plant; Texas A and M Univ., College Station (USA). Dept. of Aerospace Engineering, 1982. https://doi.org/10.2172/5044823
Jacobs, Eastman N., and Albert Sherman. "Airfoil section characteristics as affected by variations of the Reynolds number." NACA Technical Report 586 (1937): 227-267.
Rezaeiha, Abdolrahim, Hamid Montazeri, and Bert Blocken. "On the accuracy of turbulence models for CFD simulations of vertical axis wind turbines." Energy 180 (2019): 838-857. https://doi.org/10.1016/j.energy.2019.05.053
Park, Donghun, Hojoon Shim, and Yunggyo Lee. "PIV measurement of separation bubble on an airfoil at low Reynolds numbers." Journal of Aerospace Engineering 33, no. 1 (2020): 04019105. https://doi.org/10.1061/(ASCE)AS.1943-5525.0001099
Tangermann, Eike, and Markus Klein. "Numerical simulation of laminar separation on a NACA0018 airfoil in freestream turbulence." In AIAA Scitech 2020 Forum, p. 2064. 2020. https://doi.org/10.2514/6.2020-2064
Grille Guerra, Adrian, Shirzad Hosseinverdi, Ashish Singh, Jesse C. Little, and Hermann F. Fasel. "Unsteady evolution of a laminar separation bubble subjected to structural motion." In AIAA Aviation 2021 Forum, p. 2949. 2021. https://doi.org/10.2514/6.2021-2949
