Abstract
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 nonlinearK-ɛ model, whose approximate form includes the standardK-ɛ model and the nonlinearK-ɛ model of Speziale (1987) as special cases. Our nonlinearK-ɛ model, which is frame indifferent, can predict relaxation of the Reynolds stress, unlike most standardK-ɛ models. Also, our model is in keeping with that of Yakhotet 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.
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Communicated by M.Y. Hussaini
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Huang, Y.N., Rajagopal, K.R. On a generalized nonlinearK-ɛ model for turbulence that models relaxation effects. Theoret. Comput. Fluid Dynamics 8, 275–288 (1996). https://doi.org/10.1007/BF00639696
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DOI: https://doi.org/10.1007/BF00639696