%0 Conference Paper %1 wada2009linear %A Wada, Tomoya %A Peters, Norbert %A Mellado, Juan Pedro %B Clear Air 2009 - 10th International Conference on Energy for a Clean Environment, 7th - 10th July 2009, Lisbon, Portugal %D 2009 %K prev %T Linear Stability Analysis of One-Step Model with Diluted Lean CH4/Air Oscillations at Low Temperatures %X Chemically induced oscillations in a diluted lean CH4 /air mixture were studied using an extended one-step model for low-temperature conditions (<1300 K) in a perfectly stirred reactor. This extended one-step model was used to find analytical solutions. In this study, linear stability analysis was used to evaluate the system. The results showed the following: First, there was a good agreement between the simulation results done with detailed chemical kinetic models and experimental observations. In addition, these results prove that the one-step model is valid both at high-and low-temperature conditions. Second, the oscillations occur only when the steady-state points of the system are linearly unstable. This proves that linear stability analysis is an effective method for studying not only irreversible phenomena such as ignition or extinction but also the dynamic and reversible behavior of a nonlinear system. Third, the oscillatory condition was determined from the analytical solution; it depended strongly on the heat loss. This is supported by other experimental and numerical observations and provides a theoretical underpinning for these observations.

@inproceedings{wada2009linear, abstract = { Chemically induced oscillations in a diluted lean CH4 /air mixture were studied using an extended one-step model for low-temperature conditions (<1300 K) in a perfectly stirred reactor. This extended one-step model was used to find analytical solutions. In this study, linear stability analysis was used to evaluate the system. The results showed the following: First, there was a good agreement between the simulation results done with detailed chemical kinetic models and experimental observations. In addition, these results prove that the one-step model is valid both at high-and low-temperature conditions. Second, the oscillations occur only when the steady-state points of the system are linearly unstable. This proves that linear stability analysis is an effective method for studying not only irreversible phenomena such as ignition or extinction but also the dynamic and reversible behavior of a nonlinear system. Third, the oscillatory condition was determined from the analytical solution; it depended strongly on the heat loss. This is supported by other experimental and numerical observations and provides a theoretical underpinning for these observations.}, added-at = {2013-03-21T15:13:41.000+0100}, author = {Wada, Tomoya and Peters, Norbert and Mellado, Juan Pedro}, biburl = {https://www.bibsonomy.org/bibtex/276b9e25cd9cf71b3f6b070549a5f00ab/itv}, booktitle = {Clear Air 2009 - 10th International Conference on Energy for a Clean Environment, 7th - 10th July 2009, Lisbon, Portugal}, interhash = {4a7c00865f3123a3043b4d567c91c995}, intrahash = {76b9e25cd9cf71b3f6b070549a5f00ab}, keywords = {prev}, timestamp = {2014-07-31T07:46:38.000+0200}, title = {Linear Stability Analysis of One-Step Model with Diluted Lean CH4/Air Oscillations at Low Temperatures}, year = 2009 }