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Chapter 13: Unsteady State Nonisothermal Reactor Design
Professional Reference Shelf
R13.6 Adiabatic Operation of Batch Reactors
For adiabatic operation and
when the work done by the stirrer can be neglected |
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(13-13) | ||
where An
analytical solution relating X and T can be found for the
case of constant or mean heat capacity. |
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(13-15) | ||
| multiplying by dt, separating variables and integrating between the initial conditions, X = 0 and T =T0, and later conditions X =X and T =T, yields | |||
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| Taking the antilog, we have | |||
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| solving for X yields | |||
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| Then | |||
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(13-16) | ||
| This form is the same as the equation relating X and T derived for flow reactors. Rearranging yields | |||
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Temperature |
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(13-17) |
