Reactor Showing Two Attractive Stable Points

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Consider an adiabatic, continuous-flow stirred tank reactor in which a first-order reaction is taking place: . The steady-state dimensionless concentration of species , , and the reactor's dimensionless temperature in Kelvin, , obey the following mass and energy balance equations:

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,

,

where , , , , , , and .

The stable steady-state attractors are shown in black for and in green for . The unstable steady state is shown in red. When you select the initial condition using the locator, the trajectory is shown in green or black. The orange and blue regions are the basins of attraction of steady states and , respectively. These two regions are separated by the dotted cure, known as a separatrix.

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Contributed by: Housam Binous, Mohammed F. Al-Khater, and Ahmed Bellagi (May 2015)
Open content licensed under CC BY-NC-SA


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Reference

[1] A. Varma and M. Morbidelli, Mathematical Methods in Chemical Engineering, New York: Oxford University Press, 1997.



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