Water tank and numerical model studies of flow over steep smooth two-dimensional hills |
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Authors: | J. B. R. Loureiro D. V. Soares J. L. A. Fontoura Rodrigues F. T. Pinho A. P. Silva Freire |
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Affiliation: | 1. Mechanical Engineering Program (COPPE/UFRJ), Federal University of Rio de Janeiro, C.P. 68503, 21945-970, Rio de Janeiro, Brazil 2. Department of Mechanical Engineering, University of Brasilia, 70910-900, Brasilia, Brazil 3. Centro de Estudos de Fenómenos de Transporte, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465, Porto, Portugal 4. Universidade do Minho, Largo do Pa?o, 4704-553, Braga, Portugal
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Abstract: | The present work investigates the role of different treatments of the lower boundary condition on the numerical prediction of flows over two-dimensional, smooth, steep hills. Four different law of the wall formulations are tested when a large recirculating region is formed on the lee side of the hill. Numerical implementation of the near-wall functions was made through a finite elements code. The standard κ–ε model was used to close the averaged Navier–Stokes equations. Results are validated through original data obtained in a water tank. Measurements resorted to laser Doppler anemometry. The experiment provide detailed data for the characterization of the reverse flow in the region between the separation and the reattachment points, with emphasis on the near wall region. The experimental wall shear stress distribution is compared with the results provided by the different laws of the wall showing good agreement. The numerical predictions are shown to vary markedly between different formulations. |
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Keywords: | Hill κ – ε model Laser-Doppler anemometry Law of the wall Separation Wall shear stress |
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