Abstract

A second-order turbulence closure for the new rough wall layer modeling using the Brinkman equation is developed to improve the predictive capability of a previously developed k-e turbulence closure for the new flow physics-based surface roughness model in rough wall turbulent boundary layers. In the proposed approach, the fluid dynamics of the volume-averaged flow in the near-wall rough layer is modeled by using the Brinkman equation. The porosity can be calculated based on the volumetric characteristics of the roughness and the permeability is modeled. A new interface stress jump condition including the Reynolds stress components are also developed for a second-order turbulence closure. The Reynolds-averaged Navier-Stokes equations are solved numerically above the near-wall rough layer, while a second-order turbulence closure is employed in all regions. The computational results, including the skin friction coefficient, the log-law mean velocity, the roughness function, the Reynolds stresses, and the turbulent kinetic energy, are presented. The results show that the new rough wall layer modeling approach with a second-order closure predicts well the skin friction coefficient, the log-law mean velocity, the roughness function, and the Reynolds shear stress.

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