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1

Brody, J. P., P. Yager, R. E. Goldstein, and R. H. Austin. "Biotechnology at low Reynolds numbers." Biophysical Journal 71, no. 6 (1996): 3430–41. http://dx.doi.org/10.1016/s0006-3495(96)79538-3.

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2

Wang, S., Y. Zhou, Md Mahbub Alam, and H. Yang. "Turbulent intensity and Reynolds number effects on an airfoil at low Reynolds numbers." Physics of Fluids 26, no. 11 (2014): 115107. http://dx.doi.org/10.1063/1.4901969.

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3

Marchman, J. F. "Aerodynamic testing at low Reynolds numbers." Journal of Aircraft 24, no. 2 (1987): 107–14. http://dx.doi.org/10.2514/3.45426.

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4

SWAIN, F. C., and N. EPSTEIN. "ORIFICE METERING AT LOW REYNOLDS NUMBERS." Chemical Engineering Communications 82, no. 1 (1989): 193–201. http://dx.doi.org/10.1080/00986448908940641.

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5

Barrero-Gil, A., A. Sanz-Andrés, and M. Roura. "Transverse galloping at low Reynolds numbers." Journal of Fluids and Structures 25, no. 7 (2009): 1236–42. http://dx.doi.org/10.1016/j.jfluidstructs.2009.07.001.

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6

Yuta, Yamaguchi, Ohtake Tomohisa, and Muramatsu Akinori. "1201 PRESSURE DISTRIBUTION ON A NACA0012 AIRFOIL AT LOW REYNOLDS NUMBERS." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2013.4 (2013): _1201–1_—_1201–5_. http://dx.doi.org/10.1299/jsmeicjwsf.2013.4._1201-1_.

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7

Torres, Gabriel E., and Thomas J. Mueller. "Low Aspect Ratio Aerodynamics at Low Reynolds Numbers." AIAA Journal 42, no. 5 (2004): 865–73. http://dx.doi.org/10.2514/1.439.

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8

Li, Lin, Wei Tan, Jianshe Zhang, Ge Han, and Yanfeng Zhang. "Unsteady Effects of Wake on Downstream Rotor at Low Reynolds Numbers." Energies 15, no. 18 (2022): 6692. http://dx.doi.org/10.3390/en15186692.

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In a compressor, the periodic wake is an inherently unsteady phenomenon that affects the downstream flow conditions and loading distribution. Thus, understanding the physical mechanisms of these unsteady effects is important for eliminating flow losses and improving compressor performance, particularly at low Reynolds numbers. To understand the influence of the upstream wake on the downstream flow field structure, this paper describes numerical simulations of a one-stage high-pressure compressor at altitudes of 10–20 km. The influence of the wake on rotor flow blockage at different Reynolds nu
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9

Hu, Hui, Masatoshi Tamai, and Jeffery T. Murphy. "Flexible-Membrane Airfoils at Low Reynolds Numbers." Journal of Aircraft 45, no. 5 (2008): 1767–78. http://dx.doi.org/10.2514/1.36438.

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10

Hu, Hui, and Masatoshi Tamai. "Bioinspired Corrugated Airfoil at Low Reynolds Numbers." Journal of Aircraft 45, no. 6 (2008): 2068–77. http://dx.doi.org/10.2514/1.37173.

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11

Manga, Michael, and H. A. Stone. "Interactions between Bubbles at Low Reynolds Numbers." Physics of Fluids A: Fluid Dynamics 5, no. 9 (1993): S3. http://dx.doi.org/10.1063/1.4738870.

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12

Kuz'min, G. A., and A. Z. Patashinskii. "Small-scale chaos at low Reynolds numbers." Journal of Physics A: Mathematical and General 24, no. 24 (1991): 5763–73. http://dx.doi.org/10.1088/0305-4470/24/24/012.

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13

Rojas, N. O., M. Argentina, E. A. Cerda, and E. Tirapegui. "Nonlinear Faraday waves at low Reynolds numbers." Journal of Molecular Liquids 147, no. 3 (2009): 166–69. http://dx.doi.org/10.1016/j.molliq.2009.03.003.

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14

Ramos, J. I. "Compound liquid jets at low Reynolds numbers." Polymer 43, no. 9 (2002): 2889–96. http://dx.doi.org/10.1016/s0032-3861(02)00086-1.

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15

Mittal, S. "Shear layer instability at low reynolds numbers." Journal of Visualization 8, no. 3 (2005): 199. http://dx.doi.org/10.1007/bf03181495.

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16

RAMOS, J. I. "PLANAR LIQUID SHEETS AT LOW REYNOLDS NUMBERS." International Journal for Numerical Methods in Fluids 22, no. 10 (1996): 961–78. http://dx.doi.org/10.1002/(sici)1097-0363(19960530)22:10<961::aid-fld389>3.0.co;2-d.

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17

FIRDAOUSS, MOUAOUIA, JEAN-LUC GUERMOND, and PATRICK LE QUÉRÉ. "Nonlinear corrections to Darcy's law at low Reynolds numbers." Journal of Fluid Mechanics 343 (July 25, 1997): 331–50. http://dx.doi.org/10.1017/s0022112097005843.

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Under fairly general assumptions, this paper shows that for periodic porous media, whose period is of the same order as that of the inclusion, the nonlinear correction to Darcy's law is quadratic in terms of the Reynolds number, i.e. cubic with respect to the seepage velocity. This claim is substantiated by reinspection of well-known experimental results, a mathematical proof (restricted to periodic porous media), and numerical calculations.
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18

Ho, Wei Hua, Omar Faruq bin Idris, and Tze How New. "SUCTION INLET VORTEX INVESTIGATION AT LOW REYNOLDS NUMBERS." Transactions of the Canadian Society for Mechanical Engineering 39, no. 1 (2015): 115–23. http://dx.doi.org/10.1139/tcsme-2015-0009.

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Under certain flow conditions, when an inlet is aspirated in close proximity to a solid boundary, a vortex will form between the surface and the inlet. The formation and ingestion of such vortices could potentially lead to inefficient fluid suction by pumps or catastrophic damages in high-speed jet engines. Previous studies established the basic relationship of such inlet vortices formation threshold and geometry and flow conditions, though they were typically considered at significantly high Reynolds numbers. It remains unclear if there is a lower limit to the Reynolds number at which this ph
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19

WILLIAMSON, N., N. SRINARAYANA, S. W. ARMFIELD, G. D. McBAIN, and W. LIN. "Low-Reynolds-number fountain behaviour." Journal of Fluid Mechanics 608 (July 11, 2008): 297–317. http://dx.doi.org/10.1017/s0022112008002310.

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Experimental evidence for previously unreported fountain behaviour is presented. It has been found that the first unstable mode of a three-dimensional round fountain is a laminar flapping motion that can grow to a circling or multimodal flapping motion. With increasing Froude and Reynolds numbers, fountain behaviour becomes more disorderly, exhibiting a laminar bobbing motion. The transition between steady behaviour, the initial flapping modes and the laminar bobbing flow can be approximately described by a function FrRe2/3=C. The transition to turbulence occurs at Re &gt; 120, independent of
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20

Huang, Mei‐Jiau, and Anthony Leonard. "Power‐law decay of homogeneous turbulence at low Reynolds numbers." Physics of Fluids 6, no. 11 (1994): 3765–75. http://dx.doi.org/10.1063/1.868366.

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21

Spedding, G. R., and J. McArthur. "Span Efficiencies of Wings at Low Reynolds Numbers." Journal of Aircraft 47, no. 1 (2010): 120–28. http://dx.doi.org/10.2514/1.44247.

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22

Reinmüller, Alexander, Hans Joachim Schöpe, and Thomas Palberg. "Self-Organized Cooperative Swimming at Low Reynolds Numbers." Langmuir 29, no. 6 (2013): 1738–42. http://dx.doi.org/10.1021/la3046466.

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23

Boss, Emmanuel, Lee Karp-Boss, and Peter Jumars. "Settling Particles in Aquatic Environments: Low Reynolds Numbers." Oceanography 19, no. 2 (2006): 151–54. http://dx.doi.org/10.5670/oceanog.2006.85.

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24

Oulmas, Ali, Nicolas Andreff, and Stéphane Régnier. "3D closed-loop swimming at low Reynolds numbers." International Journal of Robotics Research 37, no. 11 (2018): 1359–75. http://dx.doi.org/10.1177/0278364918801502.

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In this paper, the mobility matrix of helical microswimmers is investigated to compute the magnetic torque as a function of the angular velocities of the helical robot to achieve a 3D path following in closed-loop. Thus, the helical swimmer kinematics are expressed in the Serret–Frenet frame considering the weight of the robot and lateral disturbances using the compensation inclination and direction angles, respectively. A new chained formulation is used to design a stable controller. The approach is simple and quite general and can be used for different non-holonomic autonomous systems. The 3
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25

Raz, O., and J. E. Avron. "Swimming, pumping and gliding at low Reynolds numbers." New Journal of Physics 9, no. 12 (2007): 437. http://dx.doi.org/10.1088/1367-2630/9/12/437.

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26

YAMAMOTO, Shoichi, and Akira MATSUMOTO. "913 Wake-Flow Characteristics at Low Reynolds Numbers." Proceedings of Conference of Kyushu Branch 2005.58 (2005): 347–48. http://dx.doi.org/10.1299/jsmekyushu.2005.58.347.

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27

Heathcote, S., and I. Gursul. "Flexible Flapping Airfoil Propulsion at Low Reynolds Numbers." AIAA Journal 45, no. 5 (2007): 1066–79. http://dx.doi.org/10.2514/1.25431.

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28

Hatton, Ross L., and Howie Choset. "Geometric Swimming at Low and High Reynolds Numbers." IEEE Transactions on Robotics 29, no. 3 (2013): 615–24. http://dx.doi.org/10.1109/tro.2013.2251211.

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29

Aniskin, V. M., A. A. Maslov, and S. G. Mironov. "Relaminarization in supersonic microjets at low Reynolds numbers." Technical Physics Letters 39, no. 8 (2013): 734–36. http://dx.doi.org/10.1134/s1063785013080166.

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30

Baydar, Ertan. "Confined impinging air jet at low Reynolds numbers." Experimental Thermal and Fluid Science 19, no. 1 (1999): 27–33. http://dx.doi.org/10.1016/s0894-1777(98)10044-4.

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31

Koller-Milojevie, Dušica, and Wilhelm Schneider. "Free and confined jets at low Reynolds numbers." Fluid Dynamics Research 12, no. 6 (1993): 307–22. http://dx.doi.org/10.1016/0169-5983(93)90033-7.

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32

Davis, R. H., and A. Acrivos. "Sedimentation of Noncolloidal Particles at Low Reynolds Numbers." Annual Review of Fluid Mechanics 17, no. 1 (1985): 91–118. http://dx.doi.org/10.1146/annurev.fl.17.010185.000515.

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33

Genkin, V. S., G. Ya Dukel'skii, A. I. Vaseiko, and M. F. Tramana. "Investigation of gas distribution at low reynolds numbers." Chemistry and Technology of Fuels and Oils 22, no. 8 (1986): 406–8. http://dx.doi.org/10.1007/bf01130494.

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34

Wylie, Jonathan J., Huaxiong Huang, and Robert M. Miura. "Stretching of viscous threads at low Reynolds numbers." Journal of Fluid Mechanics 683 (August 19, 2011): 212–34. http://dx.doi.org/10.1017/jfm.2011.259.

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AbstractWe investigate the classical problem of the extension of an axisymmetric viscous thread by a fixed applied force with small initial inertia and small initial surface tension forces. We show that inertia is fundamental in controlling the dynamics of the stretching process. Under a long-wavelength approximation, we derive leading-order asymptotic expressions for the solution of the full initial-boundary value problem for arbitrary initial shape. If inertia is completely neglected, the total extension of the thread tends to infinity as the time of pinching is approached. On the other hand
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35

Durst, F., J. C. F. Pereira, and C. Tropea. "The plane Symmetric sudden-expansion flow at low Reynolds numbers." Journal of Fluid Mechanics 248 (March 1993): 567–81. http://dx.doi.org/10.1017/s0022112093000916.

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Detailed velocity measurements and numerical predictions are presented for the flow through a plane nominally two-dimensional duct with a Symmetric sudden expansion of area ratio 1:2. Both the experiments and the predictions confirm a symmetry-breaking bifurcation of the flow leading to one long and one short Separation zone for channel Reynolds numbers above 125, based on the upstream channel height and the maximum flow velocity upstream. With increasing Reynolds numbers above this value, the short separated region remains approximately constant in length whereas the long region increases in
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36

DÜTSCH, H., F. DURST, S. BECKER, and H. LIENHART. "Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers." Journal of Fluid Mechanics 360 (April 10, 1998): 249–71. http://dx.doi.org/10.1017/s002211209800860x.

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Time-averaged LDA measurements and time-resolved numerical flow predictions were performed to investigate the laminar flow induced by the harmonic in-line oscillation of a circular cylinder in water at rest. The key parameters, Reynolds number Re and Keulegan–Carpenter number KC, were varied to study three parameter combinations in detail. Good agreement was observed for Re=100 and KC=5 between measurements and predictions comparing phase-averaged velocity vectors. For Re=200 and KC=10 weakly stable and non-periodic flow patterns occurred, which made repeatable time-averaged measurements impos
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37

Matsunuma, Takayuki, and Yasukata Tsutsui. "Effects of Low Reynolds Number on Wake-Generated Unsteady Flow of an Axial-Flow Turbine Rotor." International Journal of Rotating Machinery 2005, no. 1 (2005): 1–15. http://dx.doi.org/10.1155/ijrm.2005.1.

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The unsteady flow field downstream of axial-flow turbine rotors at low Reynolds numbers was investigated experimentally using hot-wire probes. Reynolds number, based on rotor exit velocity and rotor chord lengthReout,RT, was varied from3.2×104to12.8×104at intervals of1.0×104by changing the flow velocity of the wind tunnel. The time-averaged and time-dependent distributions of velocity and turbulence intensity were analyzed to determine the effect of Reynolds number. The reduction of Reynolds number had a marked influence on the turbine flow field. The regions of high turbulence intensity due t
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38

Papangelou, A. "Vortex shedding from slender cones at low Reynolds numbers." Journal of Fluid Mechanics 242 (September 1992): 299–321. http://dx.doi.org/10.1017/s0022112092002386.

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Wind-tunnel experiments on the flows created by a number of slightly tapered models of circular cross-section have shown the presence of spanwise cells (regions of constant shedding frequency) at Reynolds numbers of the order of 100. The experiments have also shown a number of other interesting features of these flows: the cellular flow configuration is dependent on the base Reynolds number and independent of the tip Reynolds number, the frequency jump between adjacent cells is a function of flow speed, taper angle and kinematic viscosity, but is constant along a cone's span, and the unsteady
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39

McCutchen, Charles W. "Comment on "Low-Aspect-Ratio Wing Aerodynamics at Low Reynolds Numbers"." AIAA Journal 44, no. 4 (2006): 924. http://dx.doi.org/10.2514/1.12330.

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40

Cosyn, P., and J. Vierendeels. "Numerical Investigation of Low-Aspect-Ratio Wings at Low Reynolds Numbers." Journal of Aircraft 43, no. 3 (2006): 713–22. http://dx.doi.org/10.2514/1.16991.

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41

Bremhorst, K., and L. Krebs. "Experimentally determined turbulent Prandtl numbers in liquid sodium at low Reynolds numbers." International Journal of Heat and Mass Transfer 35, no. 2 (1992): 351–59. http://dx.doi.org/10.1016/0017-9310(92)90273-u.

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42

Murawski, C. G., and K. Vafai. "An Experimental Investigation of the Effect of Freestream Turbulence on the Wake of a Separated Low-Pressure Turbine Blade at Low Reynolds Numbers." Journal of Fluids Engineering 122, no. 2 (1999): 431–33. http://dx.doi.org/10.1115/1.483281.

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An experimental study was conducted in a two-dimensional linear cascade, focusing on the suction surface of a low pressure turbine blade. Flow Reynolds numbers, based on exit velocity and suction length, have been varied from 50,000 to 300,000. The freestream turbulence intensity was varied from 1.1 to 8.1 percent. Separation was observed at all test Reynolds numbers. Increasing the flow Reynolds number, without changing freestream turbulence, resulted in a rearward movement of the onset of separation and shrinkage of the separation zone. Increasing the freestream turbulence intensity, without
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43

Balachandar, Ram, and Shyam S. Ramachandran. "Turbulent Boundary Layers in Low Reynolds Number Shallow Open Channel Flows." Journal of Fluids Engineering 121, no. 3 (1999): 684–89. http://dx.doi.org/10.1115/1.2823524.

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The results of an experimental investigation of turbulent boundary layers in shallow open channel flows at low Reynolds numbers are presented. The study was aimed at extending the database toward lower values of Reynolds number. The data presented are primarily concerned with the longitudinal mean velocity, turbulent-velocity fluctuations, boundary layer shape parameter and skin friction coefficient for Reynolds numbers based on the momentum thickness (Reθ) ranging from 180 to 480. In this range, the results of the present investigation in shallow open channel flows indicate a lack of dependen
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44

Tabatabai, M., and A. Pollard. "Turbulence in radial flow between parallel disks at medium and low Reynolds numbers." Journal of Fluid Mechanics 185 (December 1987): 483–502. http://dx.doi.org/10.1017/s0022112087003276.

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The radial flow of air between two closely spaced parallel disks is studied experimentally and the behaviour of the flow, especially the turbulence decay mechanism, is examined. At high Reynolds numbers the flow resembles fully developed turbulent two-dimensional channel flow. A quasi-laminar boundary layer is found to gradually replace the viscous sublayer as the Reynolds number decreases. At low Reynolds numbers, the turbulence decays and the flow gradually approaches a laminar-type profile. The decay process is shown to be very slow and indications of a weak turbulence-generating mechanism
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45

Zheng, Tinghui, S. K. Tang, and Baoling Fei. "ON THE FORCES AND STROUHAL NUMBERS IN THE LOW REYNOLDS NUMBER WAKES OF TWO CYLINDERS IN TANDEM." Transactions of the Canadian Society for Mechanical Engineering 33, no. 3 (2009): 349–60. http://dx.doi.org/10.1139/tcsme-2009-0025.

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The flow around two circular cylinders of equal diameter in tandem arrangement was investigated numerically using the finite volume method in the present study. The code was validated by comparison with previous works at the Reynolds number of 200. A systematic investigation of the relationships of Strouhal number and the aerodynamic forces with cylinder separation and Reynolds number was done. Results demonstrate not only the important combined effects cylinder separation and Reynolds number on the wake aerodynamics, but also on the relative strengths of the forces acting on the two cylinders
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46

Vorobiev, Alexander, R. M. Rennie, and Eric J. Jumper. "Lift Enhancement by Plasma Actuators at Low Reynolds Numbers." Journal of Aircraft 50, no. 1 (2013): 12–19. http://dx.doi.org/10.2514/1.c031249.

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47

MUKOHARA, Hiroki, and Masayuki ANYOJI. "Compressibility effects on separation bubble at low Reynolds numbers." Proceedings of Conference of Kyushu Branch 2021.74 (2021): A22. http://dx.doi.org/10.1299/jsmekyushu.2021.74.a22.

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48

Menon, Karthik, and Rajat Mittal. "Aerodynamic Characteristics of Canonical Airfoils at Low Reynolds Numbers." AIAA Journal 58, no. 2 (2020): 977–80. http://dx.doi.org/10.2514/1.j058969.

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49

OHTAKE, Tomohisa. "Flow Field around NACA0012 Airfoil in Low Reynolds Numbers." JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 64, no. 2 (2016): 123–30. http://dx.doi.org/10.2322/jjsass.64.123.

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50

Tokutake, Hiroshi, Shigeru Sunada, and Jin Fujinaga. "Small Actuator with Propellers Acting under Low Reynolds Numbers." JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 54, no. 634 (2006): 522–25. http://dx.doi.org/10.2322/jjsass.54.522.

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