Near-Wall Turbulence Modeling Using Fractal Dimensions
Publication: Journal of Engineering Mechanics
Volume 125, Issue 7
Abstract
To introduce the intermittency effects of the energy cascade process into turbulence modeling, a new fractal turbulence scale based on k, ε, ν, and the fractal dimension of turbulence dissipation D, with D = 2.7, is introduced, and a fractal scale, low Reynolds number turbulence model is proposed. The proposed turbulence model is first examined in detail by predicting a two-dimensional channel flow, and then applied to predict a backward-facing step flow. Numerical results are compared with the direct numerical simulation budgets, experimental data, and the model results of Chien, and Lam and Bremhorst, respectively. It is found that the fractal scale model indeed predicts better results for both of the flows considered.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 7 • July 1999
Pages: 804 - 811
History
Received: Feb 16, 1999
Published online: Jul 1, 1999
Published in print: Jul 1999
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