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High Reynolds number K - epsilon model of turbulent pipe flows with standard wall laws: first quantitative results

Abstract : We study turbulent pipe flow with the high-Reynolds number K - epsilon model, using wall laws as boundary conditions. The system (7-9) is discretised with a spectral method. We estimate all the spectral coefficients and the pressure gradient thanks to a Newton-Raphson method. The results are relevant physically, e.g., the friction factors found are close to the Blasius correlation. These results constitute a landmark that could be used to validate 'industrial' codes. An asymptotic regime is found at large Reynolds number. We also propose a slight possible optimization of the model to better describe intermediate Reynolds number cases.
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https://hal.univ-lorraine.fr/hal-01449466
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M. Gisselbrecht, Emmanuel Plaut. High Reynolds number K - epsilon model of turbulent pipe flows with standard wall laws: first quantitative results. 22ème Congrès français de mécanique 2015, Aug 2015, Lyon, France. ⟨hal-01449466⟩

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