Characterization of Periodic, Quasiperiodic, and Chaotic States in Nonpremixed Biodiesel/Air Jet Flames

Figure 3

The dynamics of the translation components (𝑝, 𝑞) of flame position series. (a) Bounded trajectories are shown corresponding to periodic dynamics at 𝑘=0.5046, 𝑄1=15 kg/h, and 𝑄2=150 m³/h. (b) Bounded trajectories are shown corresponding to quasiperiodic dynamics at 𝑘=0.6482, 𝑄1=15 kg/h, and 𝑄2=200 m³/h. (c) Bounded trajectories are shown corresponding to quasiperiodic dynamics at 𝑘=0.7646, 𝑄1=20 kg/h, and 𝑄2=260 m³/h. (d) Brownian-like trajectories are shown corresponding to chaotic dynamics at 𝑘=0.8081, 𝑄1=20 kg/h, and 𝑄2=230 m³/h.

(a)

(b)

(c)

(d)