Statistics of Conditional Fluid Velocity in the Corrugated Flamelets Regime of Turbulent Premixed Combustion: A Direct Numerical Simulation Study

Figure 6

(a) Variations of (𝑢₁𝑢₁)_𝑅𝑠/𝑆²_𝐿 and (𝑢₁𝑢₁)_𝑅/𝑆²_𝐿=[(𝑢₁)_𝑅(𝑢₁)_𝑅+(𝑢^₁𝑢^₁)_𝑅]/𝑆²_𝐿 with 𝑐̃ across the flame brush along with the predictions of (12b) according to ⟨𝑐⟩=𝑐 (shown as Model 1 in the legend) and ⟨𝑐⟩=𝑐̃ (shown as Model 2 in the legend). (b) Variations of (𝑢₂𝑢₂)_𝑅𝑠/𝑆²_𝐿 and (𝑢₂𝑢₂)_𝑅/𝑆²_𝐿=[(𝑢₂)_𝑅(𝑢₂)_𝑅+(𝑢^₂𝑢^₂)_𝑅]/𝑆²_𝐿 with 𝑐̃ across the flame brush along with the predictions of (12b) according to ⟨𝑐⟩=𝑐 (shown as Model 1 in the legend) and ⟨𝑐⟩=𝑐̃ (shown as Model 2 in the legend).

(a)

(b)