Heat balance of
reactors
Adiabatic reactors
Derivation
adiabatic means: the heat produced by the reaction is going
into the reaction mass (for the continuous types this is the convective flow!!),
there is no exchange of heat with the surrounding:
Batch reactor (STR):
r
and DHR
can be considered as nearly constant when the temperature rise is not extremely
high. Integration in the boarders T0 to T and related conversion UA=0 to UA gives:
Total conversion (UA=1) produces a maximum
temperature rise DTad :
T = Ta + DTad.
UA
with: DTad =
The continuous reactors:
The TFR:
In analogy to the material balance for the stationary
state:
Convection
Reaction
the heat balance for the adiabatic case reads:
this is equivalent to the formula of the Batch
(only space and time coordinates are changed):
T(l=l) = Ta(l=0) + DTad .
UA
The adiabatic CSTR:
T = Ta + DTad .
U
