The aim of this work is to predict numerically the turbulent flow through a straight square duct using Reynolds Average Navier-Stokes equations (RANS) by the widely used k-ε and a near wall turbulence k-ε − f µ models. To handle wall proximity and no-equilibrium effects, the first model is modified by incorporating damping functions f µ via the eddy viscosity relation. The predicted results for the streamwise, spanwise velocities and the Reynolds stress components are compared to those given by the k-ε model and by the direct numerical simulation (DNS) data of Gavrilakis (J. Fluid Mech., 1992). In light of these results, the proposed k-ε − f µ model is found to be generally satisfactory for predicting the considered flow.
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Rechia, A., Naji, H., Mompean, G., & El Marjani, A. (2007). Numerical simulation of turbulent flow through a straight square duct using a near wall linear k – ϵ model. The International Journal of Multiphysics, 1(3), 317–336. https://doi.org/10.1260/175095407782219256