Consistent Conditional Moment Closure Modelling of a Lifted Turbulent Jet Flame Using the Presumed 𝛽-PDF Approach

Figure 11

Axial profiles of ⟨𝜒∣𝜂_mr⟩ at several radial locations. (a) 𝑇_𝑐=1030K, (b) 𝑇_𝑐=1045K, and (c) 𝑇_𝑐=1060K. Solid black lines, Girimaji’s model; dashed black lines, Mortensen’s model. The vertical black lines indicate the radial locations where ignition occurs. The grey horizontal lines represent the value of the CSDR computed using the AMC model parametrised by 𝜒_∘,𝑐 at 𝜂=𝜂_mr (⟨𝜒∣𝜂_mr⟩^AMC_𝑐=𝜒_∘,𝑐exp{−2[erf⁻¹ (2𝜂_mr−1)]²}).

(a) 𝑇_𝑐=1030 K

(b) 𝑇_𝑐=1045 K

(c) 𝑇_𝑐=1060 K