Abstract
Turbulent secondary motion of straight open duct flows with a rectangular cross-section was studied by means of direct numerical simulations, and the unique mean flow patterns were analysed with the aid of instantaneous coherent structure analysis for their Reynolds number dependence. Similar to the closed duct counterparts, it was found that the mean streamwise vorticity pattern is the statistical footprint of the most probable locations of the quasi-streamwise vortices. Furthermore, the existence of tightly-concentrated vortices with preferable rotational directions inside the mixed corners formed by no-/free-slip boundaries was observed. Such flow structures correspond to the side-wall high-speed streaks located directly on the free-slip plane, independently of Reynolds number, as well as the following low-speed streaks reside approximately 50 wall units away from the free-slip plane for friction Reynolds number larger than 200.
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References
Gavrilakis, S.: Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluid Mech. 244(1), 101 (1992)
Grega, L.M., Wei, T., Leighton, R.I., Neves, J.C.: Turbulent mixed-boundary flow in a corner formed by a solid wall and a free surface. J. Fluid Mech. 294(1), 17–46 (1995)
Huser, A., Biringen, S.: Direct numerical simulation of turbulent flow in a square duct. J. Fluid Mech. 257, 65–95 (1992)
Joung, Y., Choi, S.-U.: Direct numerical simulation of low Reynolds number flows in an open-channel with sidewalls. Int. J. Numer. Methods Fluids (2) 62, 854–874 (2010)
Kida, S., Miura, H.: Swirl condition in low-pressure vortices. J. Phys. Soc. Jpn. 67(7), 2166–2169 (1998)
Nezu, I., Rodi, W.: Open-channel flow measurements with a laser Doppler anemometer. J. Hydraul. Eng. 112(5), 335–355 (1986)
Pinelli, A., Uhlmann, M., Sekimoto, A., Kawahara, G.: Reynolds number dependence of mean flow structure in square duct turbulence. J. Fluid Mech. 644, 107 (2010)
Sekimoto, A., Kawahara, G., Sekiyama, K., Uhlmann, M., Pinelli, A.: Turbulence- and buoyancy-driven secondary flow in a horizontal square duct heated from below. Phys. Fluids 23(7), 075103 (2011)
Uhlmann, M., Pinelli, A., Kawahara, G., Sekimoto, A.: Marginally turbulent flow in a square duct. J. Fluid Mech. 588(2000), 153–162 (2007)
Vinuesa, R., Noorani, A., Lozano-Durán, A., Khoury, G.E., Schlatter, P., Fischer, P.F., Nagib, H.M.: Aspect ratio effects in turbulent duct flows studied through direct numerical simulation. J. Turbul. 00(00), 1–28 (2014)
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Sakai, Y., Uhlmann, M. (2016). High-Resolution Numerical Analysis of Turbulent Flow in Straight Ducts with Rectangular Cross-Section. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ’15. Springer, Cham. https://doi.org/10.1007/978-3-319-24633-8_20
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DOI: https://doi.org/10.1007/978-3-319-24633-8_20
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