Abstract: Based on the time-averaged Reynolds equation a vorticity differential equation with Reynolds stress contained is derived.For the full development turbulence,under condition that the flow is weakly variational with relatively large Reynolds number,the relation of Reynolds stress and the time-averaged vorticity or velocity is analyzed from an angle of equilibrium.It concluded that Reynolds stress is relative to the coupling action of vorticity or velocity and the deduction of vorticity reflecting flow field structure can indirectly express the process of turbulent kinetic energy transport and its rate of dissipation.The non-lineated κ-ε model being added deformation tensor and vorticity tensor has improved the calculation of Reynolds normal stresses,and is capable of predicting the existence of second flow.
2011, Vol. 26 
