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Bulk
Flow Reaction Rates
Bulk
flow reactions are reactions that occur in the main
flow stream of a pipe or in a storage tank, unaffected
by any processes that might involve the pipe wall.
HydrauliCAD accesses the EPANET engine to model
these reactions using n-th order kinetics, where
the instantaneous rate of reaction (R in mass/volume/time)
is assumed to be concentration-dependent according
to
where Kb = a bulk rate coefficient, C = reactant
concentration (mass/volume), and n = a reaction
order. Kb has units of concentration raised to the
(1-n) power divided by time. It is positive for
growth reactions and negative for decay reactions
EPANET
can also consider reactions where a limiting concentration
exists on the ultimate growth or loss of the substance.
In this case the rate expression for a growth reaction
becomes
where CL = the limiting concentration. (For decay
reactions (CL - C) is replaced by (C - CL).)
Thus
there are three parameters (Kb, CL, and n) that
are used to characterize bulk reaction rates. General
values can be selected for these parameters that
lead to several well-known kinetic models. These
include:
Simple
First-Order Decay (Kb < 0, CL = 0, n = 1)
First-Order Saturation Growth (Kb > 0, CL >
0, n = 1)
Two-Component, Second-Order Decay (Kb < 0, CL
¹ 0, n = 2)
Michaelis-Menton Kinetics (Kb ¹ 0, CL >
0, n < 0)
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