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Tubular reactor sensitivity
Author(s) -
Coste Joseph,
Aris Rutherford,
Amundson Neal R.
Publication year - 1961
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690070127
Subject(s) - infinitesimal , standard deviation , steady state (chemistry) , mathematics , compressibility , perturbation (astronomy) , sensitivity (control systems) , mechanics , thermodynamics , linearity , mathematical analysis , control theory (sociology) , physics , chemistry , statistics , engineering , computer science , control (management) , quantum mechanics , electronic engineering , artificial intelligence
The empty lumped constant tubular reactor is considered for an incompressible fluid in which an arbitrary number of chemical reactions is occurring. It is assumed that the reactor influents are steady with time on the average but have superimposed upon them random fluctuations. If the random perturbations are infinitesimally small, the unsteady state equations are linear, the linearity following from the fact that any transient may be considered as a perturbation from the steady state. Thus the effluents are random functions whose mean and variance may be calculated with ease. Reactor sensitivity is defined as the ratio of the standard deviation of an output to the standard deviation of an input. The general theory is developed and two examples are worked to illustrate the method.