Page 564 - Elements of Chemical Reaction Engineering Ebook
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Unsteady State                            9
                                                                 -

                                             Nonisothermal



                                            Reactor Design









                                            Chemical Engineers are not gentle people, they like
                                            high temperatures and high pressures.
                                                                               Steve LeBlanc

                         Up  to  now  we  have  focused on  the  steady-state operation of  nonisothermal
                         reactors. In this  section the unsteady-state energy balance  will  be developed
                         and  then  applied  to  CSTRs,  plug-flow  reactors,  and  well-mixed  batch  and
                         semibatch reactors.
                              We  will then  discuss reactor start-up, falling off  the upper-steady state,
                         the control of  chemical reactors, and multiple reactions with heat effects.


                         9.1  The General Equation
                         We begin by recalling the unsteady-state form of the energy balance developed
                         in Chapter 8.






                         The total energy of  the system is the sum of  the products of  specific energies,
                         Ei, of  the various species in the system volume  and the number  of  moles of
                         that species:
                                                          n
                                                   ksYs =   NiEi                       (9- 1)
                                                         i=  1
                              In evaluating ksysYs, shall neglect  changes in  the potential and kinetic
                                              we
                         energies, and substitute for the internal energy U, in terms of  the enthalpy Hi:

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