The Experiments
Premixed flames provide a unique
experimental setting for studying the dynamics of
pattern formation. The hotter regions appear as cells and the darker, cooler regions separating the cells appear as
cusps and folds. The system has hundreds of states ranging from highly ordered patterns to
intermittent and chaotic.
Ordered States |
Ordered States:
Ordered states, consisting of concentric rings of approximately equal-size cells, are observed over a wide range of parameters in the experiments
using heavy hydrocarbon-air mixtures on a circular porous plug burner at low pressure. |
Ratcheting States |
Ratcheting States:
Ratcheting states result from secondary bifurcations of ordered states in which symmetry is broken by small spatial inhomogeneities. In the
ratcheting states, one or more rings drift (~1 deg/sec) in a circular path, speeding up and slowing down in a characteristic manner. |
Rotating States |
Rotating States:
Rotating states are traveling waves in this circularly invariant system. The origin of these states is well-understood and similar states have been
observed in a number of fluid systems. |
Hopping States |
Hopping States:
Hopping states are typically observed in isobutane-air cellular flames at parameter values between those corresponding to two consecutive ordered
states. These states are characterized by a hopping motion in which individual cells abruptly change their angular position. |
Intermittent States |
Intermittent States:
Intermittent states are observed whenever an ordered pattern appears at irregular intervals of time. Several intermittent states observed in the
flame experiments appear to be associated with heteroclinic connections. |
Disordered States |
Disordered States:
Disordered states are observed at high flow rates. These states have no discernible ring structure. |
