DEVELOPMENT AND APPLICATION OF A CUBIC EDDY-VISCOSITY MODEL OF TURBULENCE

Many quadratic stress-strain relations have been proposed in recent ye ars to extend the applicability of linear eddy-viscosity models at mod est computational cost. However, comparison shows that none achieves m uch greater width of applicability. This paper, therefore, proposes a cubic relation between the strain and vorticity tensor and the stress tensor, which does much better than a conventional eddy-viscosity sche me in capturing effects of streamline curvature over a range of flows. The flows considered range from simple shear at high strain rates and pipe flow, to flows involving strong streamline curvature and stagnat ion.