On a generalized nonlinear K- model for turbulence that models relaxation effects

In this paper, based on a similarity that exists between the constitutive relations for turbulent mean flow of a Newtonian fluid and that for the laminar flow of a non-Newtonian fluid, and making use of extended thermodynamics, we develop a generalized nonlinear K- model, whose approximate form includes the standard K- model and the nonlinear K- model of Speziale (1987) as special cases. Our nonlinear K- model, which is frame indifferent, can predict relaxation of the Reynolds stress, unlike most standard K- models. Also, our model is in keeping with that of Yakhot et al. (1992). Most interestingly, the linearized form of our model bears a striking resemblance to the model due to Yoshizawa and Nisizima (1993); however, it has been obtained from a totally different perspective.

On a generalized nonlinear K- model for turbulence that models relaxation effects Academic Article