Effect of the Froude number on a stratified turbulence under two shear orientations using coupled SSG and SL models

IF 1.5 4区工程技术 Q3 MECHANICS

Journal of Turbulence Pub Date : 2022-03-29 DOI:10.1080/14685248.2022.2053143

L. Thamri, T. Naffouti

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引用次数: 0

Abstract

In the present investigation, the evolution of homogeneous and stratified turbulence under a horizontal and a vertical shear is deliberate by coupled second-order model SSG-SL. This model is a result of a combination between the Speziale, Sarkar and Gatski model (SSG) and the Shih and Lumley model (SL). Horizontal shear and vertical shear are related to the angle between the shear and the vertical gradient of stratification; θ = π/2 and θ = 0, respectively. This study is performed for different values of Froude number Fr ranging from 0.35–1.11. The SSG-SL model confirms the asymptotic equilibrium states for various physical parameters governing the problem (b12, b11, ε/KS, , K/E and Kρ/E) for two shear orientations (θ = π/2 and θ = 0). A comparison between findings using the present coupled model of SSG-SL and those by Direct Numerical Simulation of Jacobitz (DNSJ) [Jacobitz F, Sarkar S. A direct numerical study of transport and anisotropy in a stably stratified turbulent flow with uniform horizontal shear. Flow Turbul Combust. 2000;63:343–360.; Jacobitz F. A comparison of the turbulence evolution in a stratified fluid with vertical or horizontal shear. J Turbul. 2002;3:1–18.] is carried out. For the horizontal shear related to θ = π/2, an excellent agreement between predictions by the SSG-SL model and the results of DNSJ [Jacobitz, Sarkar;Jacobitz] is detected for turbulent thermal and dynamic fields.

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使用SSG和SL耦合模型研究弗劳德数对两个剪切方向下分层湍流的影响

本文采用SSG-SL耦合二阶模型研究了水平和垂直剪切作用下均匀和分层湍流的演化过程。该模型是Speziale, Sarkar和Gatski模型(SSG)和Shih和Lumley模型(SL)结合的结果。水平剪切和垂直剪切与剪切与垂向分层梯度的夹角有关;θ = π/2， θ = 0。本研究采用不同的弗劳德数Fr值(0.35-1.11)进行。SSG-SL模型证实了两个剪切方向(θ = π/2和θ = 0)下控制问题的各种物理参数(b12, b11， ε/KS, K/E和ρ/E)的渐近平衡状态。Jacobitz F, Sarkar S.直接数值模拟Jacobitz (DNSJ)结果的比较[j] .均匀水平剪切稳定分层湍流中输运和各向异性的直接数值研究。流动涡轮燃烧。2000;63:343-360 .;F.有垂直和水平切变的层状流体湍流演化的比较。[J] .生物医学工程学报，2002;3:1-18。]被执行。对于与θ = π/2相关的水平剪切，SSG-SL模型的预测结果与DNSJ [Jacobitz, Sarkar;Jacobitz]对湍流热场和动力场的预测结果非常吻合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Turbulence 物理-力学

CiteScore

3.90

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Turbulence is a physical phenomenon occurring in most fluid flows, and is a major research topic at the cutting edge of science and technology. Journal of Turbulence ( JoT) is a digital forum for disseminating new theoretical, numerical and experimental knowledge aimed at understanding, predicting and controlling fluid turbulence. JoT provides a common venue for communicating advances of fundamental and applied character across the many disciplines in which turbulence plays a vital role. Examples include turbulence arising in engineering fluid dynamics (aerodynamics and hydrodynamics, particulate and multi-phase flows, acoustics, hydraulics, combustion, aeroelasticity, transitional flows, turbo-machinery, heat transfer), geophysical fluid dynamics (environmental flows, oceanography, meteorology), in physics (magnetohydrodynamics and fusion, astrophysics, cryogenic and quantum fluids), and mathematics (turbulence from PDE’s, model systems). The multimedia capabilities offered by this electronic journal (including free colour images and video movies), provide a unique opportunity for disseminating turbulence research in visually impressive ways.