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Title:
A new theory of turbulence based on the concept of fractal analysis
Authors:
Gao, Ge; Chow, Wen L.
Affiliation:
AA(Beijing University of Aeronautics and Astronautics, People's Republic of China), AB(Florida Atlantic University, Boca Raton)
Publication:
IN: ICAS, Congress, 17th, Stockholm, Sweden, Sept. 9-14, 1990, Proceedings. Vol. 2 (A91-24301 09-01). Washington, DC, American Institute of Aeronautics and Astronautics, Inc., 1990, p. 2254-2263.
Publication Date:
00/1990
Category:
Fluid Mechanics and Heat Transfer
Origin:
STI
NASA/STI Keywords:
FLOW DISTRIBUTION, FRACTALS, NAVIER-STOKES EQUATION, PERTURBATION THEORY, TURBULENCE MODELS, COMPUTATIONAL FLUID DYNAMICS, COMPUTATIONAL GRIDS, K-EPSILON TURBULENCE MODEL, NONLINEAR EQUATIONS, REYNOLDS STRESS, TURBULENCE, TURBULENT FLOW
Bibliographic Code:
1990icas....2.2254G

Abstract

Fractal analysis methods are applied to derive a new model of turbulence for use in numerical flow simulations. As proposed by Gao (1989), a noise field is superimposed on the flowfield to obtain a perturbation equation for the Navier-Stokes equation, an equation which is shown to represent a concrete and physically meaningful expression of the turbulent stresses. The implementation of a turbulence model based on this equation is outlined, and selected (previously published) results are presented in graphs for: (1) plane and round jet flows; (2) near-wall flows; (3) the three-dimensional flowfield of a centrifugal compressor; and (4) sudden-expansion swirling flows. The present turbulence model is found to give predictions in better agreement with experimental data than the commonly used k-epsilon and Baldwin-Lomax models.
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