Abstract
Helicity, which is defined by the inner product of the velocity and vorticity, is an important indicator for large-scale vortical structures in turbulent flows. In order to incorporate these structures into a turbulence model, the effect of helicity on the Reynolds stress is taken into account and a three-equation model is proposed, whereby a model transport eqation for the turbulent helicity is added to the k-ε model. This model is applied to a swirling flow in a straight pipe. As a result, this model can recover some important properties of a swirling flow such as the slow-down of the axial velocity near the center and the decay rate of the strength of swirling.
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