Dynamic Characteristics of Continuous Stirred Tank Reactor (CSTR) Part I: Adiabatic Reactor
DOI:
https://doi.org/10.59746/jfes.v2i2.77Keywords:
CSTR dynamics, Adiabatic reactor, Damping coefficient, Residence time, StabilityAbstract
CSTR is a very common reactor type which is widely used in the chemical process industries. It is well-known that its dynamics are nonlinear with a multi-mode behavior. This aspect was and still is an active subject of research with the investigative approach being either mathematical or experimental involving specific reaction systems. In this work a different approach is adopted in which the variation of the damping coefficient value of the linearized reactor’s transfer function is investigated over chosen values/ranges of relevant parameters. Our results indicate that an adiabatic type of such a reactor in which a liquid-phase, 1st-order, irreversible, exothermic chemical reaction takes place can be unstable or stable. If stable, it is either critically damped or overdamped with the latter mode being overwhelming; however, it is never underdamped. Furthermore, even when stable its dynamic behavior can be peculiar depending on certain values of some parameters.
References
Van Heerden, C. (1953). Autothermic processes. Industrial & Engineering Chemistry, 45(6), 1242-1247, https://doi.org/10.1021/ie50522a030. DOI: https://doi.org/10.1021/ie50522a030
Suo, L., Ren, J., Zhao, Z., & Zhai, C. (2020). Study on the nonlinear dynamics of the continuous stirred tank reactors. Processes, 8(11), 1436, https://doi.org/10.3390/pr8111436. DOI: https://doi.org/10.3390/pr8111436
Uppal, A., Ray, W. H., & Poore, A. B. (1974). On the dynamic behavior of continuous stirred tank reactors. Chemical Engineering Science, 29(4), 967-985, https://doi.org/10.1016/0009-2509(74)80089-8. DOI: https://doi.org/10.1016/0009-2509(74)80089-8
Uppal, A., Ray, W. H., & Poore, A. B. (1976). The classification of the dynamic behavior of continuous stirred tank reactors—influence of reactor residence time. Chemical Engineering Science, 31(3), 205-214, https://doi.org/10.1016/0009-2509(76)85058-0. DOI: https://doi.org/10.1016/0009-2509(76)85058-0
Kevrekidis, I. G., Aris, R., & Schmidt, L. D. (1986). The stirred tank forced. Chemical engineering science, 41(6), 1549-1560, https://doi.org/10.1016/0009-2509(86)85237-x . DOI: https://doi.org/10.1016/0009-2509(86)85237-X
Nagy, A., Olexova, A., & Treindl, L. (1991). Sustained and damped oscillations in the permanganate-hydroxylamine reaction in a continuous-flow stirred tank reactor. The Journal of Physical Chemistry, 95(15), 5809-5810, https://doi.org/10.1002/chin.199143027. DOI: https://doi.org/10.1021/j100168a019