Reactor mixing of periodic action. Using material balance equation can be a general characteristic equation reactor an ideal blending of periodic action

whereC_A — concentration of a key reagent;

r_A -the speed of a chemical reaction for this component.

Easy to get

By integrating this equation in the range from 0 to t, and C_A0 to C_A, get the residence time of reagents in the reaction space

Here X_A -degree of turning a key reagent.

This reactor will be determined by a one-time loading of reagents, that depends on the average annual productivity, so

,

where V – the volume of the reaction zone, m³;

G -single download reagents in reactor, kg.

Continuous mixing reactor. For ideal mixing reactor, continuous operation of the mass balance equation would be

where v₀-volumetric flow rate (feed) reagents, m³/with;

V -volume of reactor, m³.

Because in the ideal continuous mixing reactor r_A=const, it

where t -conditional residence time of reagents in the reaction zone.

The volume of the reactor will be determined by the formula

The reactor. An ideal displacement for the reactor material balance equation analogous to the ideal mixing reactor

.

After its integration just get

.

The volume of the reactor an ideal displacement as well will be determined by the formula

When calculating displacement reactor or mixing of periodic action has to calculate the integrals, podintegral′naâ function which can be quite challenging. Therefore, in this case to resort to numerical integration. The most popular for such purposes is Simpson's formula, or parabolas. So for integral types

Here a and b -limits of integration;

n -an even number of intervals split bar integration.

The calculation is performed in the following sequence: ask precision computing integrals e and calculate the integral when n= 4. Then n all time doubles, until you are the condition ½I(n)-I(2n)½< e. Simpson's formula is easily programmed.

Sufficiently accurate are the following two simple formulas:

pâtitočečnaâ

and druskinkai formula Uèddlâ

The task of calculating the actual reactors in the vast majority of cases is a very complex, Since this requires setting specialized studies on evaluation of effective diffusion reaction components in specific technological conditions. If such coefficients calculation can be undertaken on methods, described in accordance with the list of literature.