It is very important for reactor design and control to choose and control the temperature throughout the reaction process.The linear stability analysis showed that control parameters contained in a nonlinear kinetic s...It is very important for reactor design and control to choose and control the temperature throughout the reaction process.The linear stability analysis showed that control parameters contained in a nonlinear kinetic system of equations resulted in the diversity of temperature self-organization structures and occurring critical values in Lindemann uni-molecular chemical reaction-diffusion-heat conduction systems.The results of numerical simulations also showed that the differences of occurring critical values of Turing bifurcation led to multiple wave number values of spatially periodic structures of temperature field.Without doubt,these significant results should be considered in order to reasonably design,correctly choose the reactor type and optimally control chemical reactors.展开更多
Dynamical model of coupled electrode BZ reaction system is established based on FKN mechanism and Oregonator model.Under certain conditions,the effect of electrode current on BZ electrochemical reaction system is disc...Dynamical model of coupled electrode BZ reaction system is established based on FKN mechanism and Oregonator model.Under certain conditions,the effect of electrode current on BZ electrochemical reaction system is discussed.By means of stability analysis of three-variable system,limit cycle oscillatory regime of the electrode reaction phase is calculated numerically.It turns out that limit cycle oscillation can appear in electrode phase under a fixed current when the bulk phase is at a steady state.Meanwhile,external electrode current can lead to non-synchronization of bulk phase and electrode reaction phase.展开更多
Based on the theories of cellar biology a reaction-diffusion-like dynamic equation valid for the popular growth of single bacillus was established by means of the nonlinear method of the dynamic systems.Furthermore,th...Based on the theories of cellar biology a reaction-diffusion-like dynamic equation valid for the popular growth of single bacillus was established by means of the nonlinear method of the dynamic systems.Furthermore,the investigations of numerical simulations and experiments of this evolutionary equation were analysised.These exploratory results are helpful to complete the biological wave theory.展开更多
文摘It is very important for reactor design and control to choose and control the temperature throughout the reaction process.The linear stability analysis showed that control parameters contained in a nonlinear kinetic system of equations resulted in the diversity of temperature self-organization structures and occurring critical values in Lindemann uni-molecular chemical reaction-diffusion-heat conduction systems.The results of numerical simulations also showed that the differences of occurring critical values of Turing bifurcation led to multiple wave number values of spatially periodic structures of temperature field.Without doubt,these significant results should be considered in order to reasonably design,correctly choose the reactor type and optimally control chemical reactors.
文摘Dynamical model of coupled electrode BZ reaction system is established based on FKN mechanism and Oregonator model.Under certain conditions,the effect of electrode current on BZ electrochemical reaction system is discussed.By means of stability analysis of three-variable system,limit cycle oscillatory regime of the electrode reaction phase is calculated numerically.It turns out that limit cycle oscillation can appear in electrode phase under a fixed current when the bulk phase is at a steady state.Meanwhile,external electrode current can lead to non-synchronization of bulk phase and electrode reaction phase.
文摘Based on the theories of cellar biology a reaction-diffusion-like dynamic equation valid for the popular growth of single bacillus was established by means of the nonlinear method of the dynamic systems.Furthermore,the investigations of numerical simulations and experiments of this evolutionary equation were analysised.These exploratory results are helpful to complete the biological wave theory.
