Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9690609 | European Journal of Mechanics - B/Fluids | 2005 | 15 Pages |
Abstract
The effect of convection on the heat generated by an exothermic reaction is considered within a square reactor bounded by constant temperature walls. The fluid flow and heat transfer equations are solved numerically for a range of values of the Rayleigh Ra and Frank-Kamenetskii K numbers. From these solutions, boundaries between bounded solutions and thermal runaway are determined, with the range of K for bounded solutions increasing as Ra is increased. The system is capable of sustaining both steady and oscillatory behaviour, including simple periodic as well as both chaotic and period-three responses. A parametric region where there is hysteresis is found with either oscillations or steady states seen at the same parameter values, dependent on the initial configuration of the system.
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
A. Lazarovici, V. Volpert, J.H. Merkin,