macro L001 'displays' of stirred-reactor diagram and words
but makes no settings. These are made in macros:
L002: solve(p1); declarations and defaults of ra, rb, flowa
L003:
L004:
mesg(macro stirdisp, ie L001, starts
TEXT(WSR, 1D (Reactedness) Population
TITLE
DISPLAY
provided by l001.htm
Stirred reactor with a 1D population distribution, and
reactedness, ranging from zero to 1, as the population-
distinguishing attribute.
___________
It is supposed that two streams of fluid | |
enter a reactor which is sufficiently A ====> |
well-stirred for space-wise differences | stirred |
of conditions to be negligible, but not | \\\|/// C===>
sufficiently for micro-mixing to be | reactor |
complete. B ====> |
|___________|
The two streams have the same elemental
composition; but one may be more reacted than the other.
The flow is steady, and the total mass flow rate per unit volume
is 1 kg/s m**3 .
The chemical reaction rate is supposed to depend upon reactedness
in accordance with the formula:
rate (in kg/s m**3) = const * (1 - R) / R ** ratexp
where R = reactedness,
ratexp = a prescribed constant
const = conrea / integral [{(1 - R) / R ** ratexp} dR]
conrea = a second prescribed constant.
The micro-mixing rate (as defined in MFM theory) is taken as
conmix kg/s m**3 times the product of the mass fractions of
interacting fluids, in accordance with the "promiscuous Mendelian"
hypothesis, where conmix is again a prescribed constant.
The task is to compute:
(1) the fluid-population distribution in the reactor, and
(2) the population-average reactedness
(3) the root-mean-square of the reactedness fluctuations
These values depend upon 7 dimensionless parameters, namely:-
(a) the prescribed constants: RATEXP, CONREA & CONMIX;
(b) the relative proportions of the two mass flow rates,
namely FLOWA and FLOWB (= 1 - FLOWA);
(c) the reactednesses of the two streams, RA and RB;
and on the number of fluids in terms of which the population
distribution is to be described, NFLR.
In the following Q1, the values employed are as follows:
RATEXP CONREA CONMIX FLOWA RA RB NFLR
5.0 10.0 10.0 0.5 0.0 1.0 25
The opportunity is provided to change NFLR interactively in
the satellite, and CONREA and CONMIX during the EARTH run.
Cases 1-1 and 102 allow choice of FLOWA and RATEXP.
ENDDIS
mesg(macro stirdisp, ie L001, ends
STOP