Near-wall turbulence modeling using fractal dimensions

To introduce the intermittency effects of the energy cascade process into t urbulence modeling, a new fractal turbulence scale based on k, epsilon, v, and the fractal dimension of turbulence dissipation D, with D = 2.7, is int roduced, and a fractal scale, low Reynolds number turbulence model is propo sed. The proposed turbulence model is first examined in detail by predictin g a two-dimensional channel flow, and then applied to predict a backward-fa cing step flow, Numerical results are compared with the direct numerical si mulation budgets, experimental data, and the model results of Chien, and La m and Bremhorst, respectively. It is found that the fractal scale model ind eed predicts better results for both of the flows considered.