A Zero-Equation Model for External Aerodynamics

M. M. Rahman; Xueting  Zhang; K.  Hasan; Sheng  Chen

doi:10.47981/j.mijst.11(01)2023.403(21-30)

M. M. Rahman Hangzhou Dianzi University, School of Mechanical Engineering, 310018 Hangzhou, China
Xueting Zhang Hangzhou Dianzi University, School of Mechanical Engineering, 310018 Hangzhou, China
K. Hasan Hangzhou Dianzi University, School of Mechanical Engineering, 310018 Hangzhou, China
Sheng Chen Hangzhou Dianzi University, School of Mechanical Engineering, 310018 Hangzhou, China

DOI: https://doi.org/10.47981/j.mijst.11(01)2023.403(21-30)

Keywords: Zero-equation model, Dilation symmetry, Stress length, order function, Wall turbulence

Abstract

The zero-equation model (ZEM) has been generalized for aerodynamic applications by eliminating the thickness of boundary-layer (BL) dependency to construct the stress length parameter . The SED (Structural Ensemble Dynamics) postulate evaluates the using the order function based on universal multi-layer structures for wall turbulence. The SED concept is further employed to optimize the profiles of the turbulent kinetic energy and dissipation rate with turbulent BL flows. Results demonstrate that the multi-layer ZEM receives a remarkable achievement in the prediction of wall-bounded turbulence and thus, prevails over the drawbacks encountered in most algebraic turbulence models.

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