Steady states and dynamics of an autocatalytic chemical reaction model with decay
نویسندگان
چکیده
Article history: Received 12 September 2011 Revised 13 March 2012 Available online 26 April 2012
منابع مشابه
Qualitative analysis of an autocatalytic chemical reaction model with decay
In this paper, we revisit a reaction–diffusion autocatalytic chemical reaction model with decay. For higher-order reactions, we prove that the system possesses at least two positive steady-state solutions; hence, it has bistable dynamics similar to the system without decay. For the linear reaction, we determine the necessary and sufficient condition to ensure the existence of a solution. Moreov...
متن کاملExploration of the Significance of Autocatalytic Chemical Reaction and Cattaneo-Christov Heat Flux on the Dynamics of a Micropolar Fluid
During the homogeneous-heterogeneous autocatalytic chemical reaction in the dynamics of micropolar fluid, relaxation of heat transfer is inevitable; hence Cattaneo-Christov heat flux model is investigated in this report. In this study, radiative heat flux through an optically thick medium is treated as nonlinear due to the fact that thermal radiation at low heat energy is distinctly different f...
متن کاملChaos Control in a Non-Isothermal Autocatalytic Chemical Reactor
In this paper, a reaction system consisting of two parallel, non-isothermal autocatalytic reactions in a Continuous Stirred Tank Reactor (CSTR) has been considered. Reactor chaotic behavior is possible for certain values of system parameters. Two types of controllers are designed and compared in order to control both the reactor temperature and the product concentration. T...
متن کاملDynamics of a Reaction-diffusion System of Autocatalytic Chemical Reaction
The precise dynamics of a reaction-diffusion model of autocatalytic chemical reaction is described. It is shown that exactly either one, two, or three steady states exists, and the solution of dynamical problem always approaches to one of steady states in the long run. Moreover it is shown that a global codimension one manifold separates the basins of attraction of the two stable steady states....
متن کاملWashout Effects in Pumped Tank Reactors
Studies of multiple steady states in continuous-flow stirred tank reactors (CSTR) typically depend on the systematic variation of reactor residence time or some other system constraint such as reactant concentration. The concentration of an intermediate species is usually monitored as a function of time at a particular residence time until a steady state is established; the flow rate is then ch...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012