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Predicting fully-developed channel flow with zero-equation model
Author(s) -
Md. Mizanur Rahman,
Khalid Hasan,
Wenchang Liu,
Xinming Li
Publication year - 2021
Publication title -
mist journal of science and technology/mist international journal of science and technology
Language(s) - English
Resource type - Journals
eISSN - 2707-7365
pISSN - 2224-2007
DOI - 10.47981/j.mijst.09(02)2021.315(17-22
Subject(s) - turbulence , turbulence modeling , laminar flow , turbulence kinetic energy , mechanics , dissipation , statistical physics , physics , flow (mathematics) , mathematics , viscosity , thermodynamics
A new zero-equation model (ZEM) is devised with an eddy-viscosity formulation using a stress length variable which the structural ensemble dynamics (SED) theory predicts. The ZEM is distinguished by obvious physical parameters, quantifying the underlying flow domain with a universal multi-layer structure. The SED theory is also utilized to formulate an anisotropic Bradshaw stress-intensity factor, parameterized with an eddy-to-laminar viscosity ratio. Bradshaw’s structure function is employed to evaluate the kinetic energy of turbulence k and turbulent dissipation rate epsilon  . The proposed ZEM is intrinsically plausible, having a dramatic impact on the prediction of wall-bounded turbulence. 

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