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Scalar Dissipation Rate Transport in the Context of Large Eddy Simulations for Turbulent Premixed Flames with Non-Unity Lewis Number

机译:非均匀路易斯数湍流预混火焰大涡模拟中的标量耗散率传输

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The effects of global Lewis number Le on the statistical behaviour of the unclosed terms in the transport equation of the Favre-filtered scalar dissipation rate (SDR) ?_c have been analysed using a Direct Numerical Simulation (DNS) database of freely propagating statistically planer turbulent premixed flames with Le ranging from 0.34 to 1.2. The DNS data has been explicitly filtered to analyse the statistical behaviour of the unclosed terms in the SDR transport equation arising from turbulent transport T_1, density variation due to heat release T_2, scalar-turbulence interaction T_3, reaction rate gradient T_4, molecular dissipation (-D_2) and diffusivity gradients f (D) in the context of Large Eddy Simulations (LES). It has been found that Le has significant effects on the magnitudes of T_1, T_2, T_3, T_4, (-D_2) and f (D). Moreover, both qualitative and quantitative behaviours of the unclosed terms T_1, T_2, T_3, T_4, (-D_2) and f (D) are found to be significantly affected by the LES filter width ?, which have been explained based on a detailed scaling analysis. Both scaling analysis and DNS data suggest that T_2, T_3, T_4, (-D_2) and f (D) remain leading order contributors to the SDR ?_c transport for LES. The scaling estimates of leading order contributors to the SDR ?_c transport has been utilised to discuss the possibility of extending an existing model for Reynolds Averaged Navier Stokes (RANS) simulation for SDR ?_c closure in the context of LES of turbulent premixed combustion.
机译:使用自由传播统计平面湍流的直接数值模拟(DNS)数据库分析了全局Lewis数Le对Favre滤波标量耗散率(SDR)α_c的输运方程中未闭合项的统计行为的影响预混火焰的Le范围为0.34至1.2。已对DNS数据进行显式过滤,以分析SDR传输方程中由湍流传输T_1,由于放热引起的密度变化T_2,标量-湍流相互作用T_3,反应速率梯度T_4,分子耗散(- D_2)和大涡模拟(LES)情况下的扩散率梯度f(D)。已经发现Le对T_1,T_2,T_3,T_4,(-D_2)和f(D)的大小具有显着影响。此外,发现未封闭项T_1,T_2,T_3,T_4,(-D_2)和f(D)的定性和定量行为都受到LES滤波器宽度α的显着影响,这已在详细缩放的基础上进行了解释。分析。缩放分析和DNS数据均表明,T_2,T_3,T_4,(-D_2)和f(D)仍然是LES的SDRα_c传输的前导贡献者。 SDRα_c传输的前导贡献者的比例估计已用于讨论在湍流预混燃烧LES的情况下扩展现有模型进行SDRα_c关闭的雷诺平均Navier Stokes(RANS)模拟的可能性。

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