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In the chemical reaction, the interaction between chemical constituents and the temperature is taken into account in the following equations:
where
T is temperature, C
is the concentration ,α
and β are reaction coefficients,
G is the activation energy of
the reaction. The
reaction takes place in a cylinder of radius of 1 with uniform
distribution in the axial direction. Therefore, the calculation is
undertaken within a quarter of the round cross section, in which the two
boundary radii are considered as symmetrical boundaries. The other
boundary conditions include: the temperature on the down-right corner of
the arc (1/16 of circle) is 1.2 and the temperature on the left part of
the arc is 1.0. The concentration on the whole arc is 0.0. The given
coefficients include:
α= 0.3, β= 0.2, G = 16. The changes of the temperature and the
concentration of the constituent are separately shown in the following
diagrams.
Result:
Temperature distribution during the reaction Concentration distribution of the constituent during the reaction
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