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Sec. 8.6,   Multiple Steady States                             495

















                               possible reactor operating temperatures. By plotting  T,, as a function of  To, we
                               obtain  the  well-known  ignition-extinction  curve  shown  in  Figure  8-24. From
                               this figure we see that as the entering temperature'is increased, the steady-state
                 we  lllllit exceed ;I  temperature increases along the bottom line until T,, is reached. Any fractio'n of
                     cert;iin  feed   a degree increase in temperature beyond To, and the steady-state reactor temper-
                    tcnq~er~ltLlre to   ature will jump up to  T,, I,  as shown in Figure 8-24. The temperature  at which
                    operate at  the
                 tipper  hteady  \tate  this jump occurs is called the ignifioii tenipernture. If a reactor were operating at
                       uhci-e the   T,,,  and  we  began  to  cool  the  entering  temperature  down  from  To,,  the
                  rel~lpel.a!lll-e and   steady- state reactor temperature  T,, would eventually be reached, correspond-
                    coiiver.;ion  ;ire
                         ti I 2 lie r  ing to an entering temperature  To?. Any slight decrease below  To, would drop
                                the  steady-state  reactor  temperature  to  Til. Consequently,  To, is  called  the
                                ei-tiiictioii teiiij~e,r-citurr.
                                    The middle  points  5  and  8 in  Figures  8-23 and  8-24 represent  unstable
                                steady-state temperatures. For example, if by some means one were operating at
                                T,, and a pulse iincrease in the temperature  suddenly occurred.  the heat gener-


                                                                 Upper  steady  states



















                                                  1
                                             L    I      I      1      I      1      I
                                                        T02    T03    T04    T05    T06
                                                                  TO
                                               Figure 8-21  Teiiipmiturr i~tiitioii-c'xtinciion ctii-vc
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