The mixture process inside consideration anyone period of time but by equation (7) (8) description, in the pool inside Δt time-interval liquid waste chroma turns into by Ci Ci 1, bulk of the liquid waste in the pool turns into by Vi Vi 1. Next period of time turns into by Ci 1 in chroma of the liquid waste in the pool inside Δt time Ci 2 bulk turns into by Vi 1 Vi 2; The rest may be deduced by analogy.
Equation (7)(8) forms a first-order and linear Chang Wei to separate equation group. Inside Δt time-interval, solve equation first (7) , initiative condition is V(0)=Vi, solution gets Vi 1, expression and equation (5) with.
equation (7)
Era enters equation (8) , with needing the kind of cent ahead, with equation (5) Vi 1 generation enters equation (8) type in order to replace V, record the leveling time inside Δt time-interval with T, first-order linear and differential equation is:
Arrange:
…………(8' )
Foregone and initiative condition is C(0)=ci, can solve equation with two kinds of means (8' ) .
Means Ⅱ : Will (8' ) type adapts for:
Regard Vi 1 as constant solves this differential equation, but the result of state type form and likeness of Ci 1 of process of leveling of constant water level:
………(9)
In type
Means Ⅰ : Immediate solution (8') type, relation of change of chroma of pool memory water is:
…………(10)
In type:
Type (5) and (9) or (10) is united in wedlock, as change water level all pledges Chi Rong accumulates calculative iteration type.
3.3 change point of computation of imitate of pool of leveling of water level water quality(1) , the iteration formula that uses Vi 1 (the iteration type of 5) and Ci 1 (6) type, (9) type, (10) type 3 person one of, form jointly change model of maths of calculative of iteration of pool of leveling of water level water quality. Give out Ai, Qi (i=0, 1, 2…n-1) , Δt, V0 and C0, by go up type iteration computation, can get Vi 1 and Ci 1 two series enumerated data.
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