# 2.2 Working out of the program «POLIFUN" for modelling of process of rectification

The determined approach to the process analysis assumes the mathematical description of a rectification column on the basis of componental models of a divided mix. The program of the determined modelling is expressly developed for mathematical modelling of process of rectification in simple columns with participation of the author (the head of working out) «POLIFUN».

As an algorithmic basis widely known algorithmic approach Tile-Geddesa and C.Holland's recommendations [65] (iterative calculation material and heat balances «from a plate to a plate», posektsionno) is used. The program «POLIFUN» is based on a technique of independent definition of concentration (technique Tile-Geddesa) with application of the TETA-METHOD of convergence [65] at which calculation is conducted for real -41

nyh plates by use of EFFICIENCY Merfi (degrees of conformity of ideal balance actual). The settlement schema is resulted in drawing 2.1. Symbols are resulted after the algorithm description. The program is constructed by a modular principle.

The algorithm concept. At drawing up of the settlement equations of process of rectification two types of dephlegmators Т-1 (full and partial) are considered. The part of the top product drawing 2.1 in the form of a liquid (a case of the full condenser) or steams (a partial condensation case) is deduced in quantity (D) (in drug rooms or molecular ratioes) as the top product (distillata). Other liquid in quantity (Lri), named a reflux or an irrigation, is reverted revertively in a column. A food by two streams {Fl F2) moves on plates () and (t), corresponding to P Th and VI th sections (drawing 2.1). For reception of a steam stream in bottom of the column moves warmly by means of reboiler Т-2. The Fluid phase selected from bottom of the column, is called as the rest (W). The Fluid phase selected from intermediate sections of a column, is called as off-streams (Wit W2).

To reboiler zero number of a plate is assigned, to a dephlegmator-N+1. The settlement schema of a column is broken on V sections. A basis of calculation of each section is the settlement schema of an individual plate shown on rice 2.2.

The stream of a steam leaving u th plate is designated V}, and a steam stream leaving a subjacent u-7th plate V-] A. The Fluid flows, a flowing down sou th of a plate it is designated Lj\and a fluid flow which is flowing down from overlying HayW th plate Lj+1

42

J c ** rcf j = 0..., N + \\(221)

Qw=DhN+i + Who + W, h, + W2hm-FiqiHFi - F, (l-q,) hFI -

-F2q:HF2 - F2 (l-q2) hF2 + Qd (2.28)

The block 5. Steam streams (Vj) and liquids (Lj) on plates, since a top plate (VNi % L N+i) and liquids In situ pay off.

VN = „Q_\; (2.29)

V »-Q ' +? h" ~bj)-.J ~ »....* (2-30) HH-hj

Lj=Vj.i-D; j = N., I; (2.31)

V/., = J—\j=I-I..., / +2\(2.32)

HH-hj

Lj=Vj.,-D-W; j = I-I..., / +2\(2.33)

_Q< + D{hfM-hM)+Wl{h,-hM)-Fxql{HFl-hM)

ш ' ~ Hf-hM ' "

Vf=Vf + F, q, \(2.35)

Lfn^Vr-D-W; (2.35)

48

V., = = JF—J.; (2.36)

j = f..., t + 2;

Lj=Vj., +Fr, j = f., t+2; (2.37)

At - Q. + WJKi-A,) + SHCHU> M ' hm)-F2 {\-q2) {hn-bM) m (2m

H,-hM

V ', = Vt + F2Q2 - (2.39)

LM =Vt+W+W2-FA\-q2) \(2.40)

V/-i =—;; j = t..., m, (2.41)

HR - \~ hj

Lj=Vj., + W+W2; j = M - \., \\(2.42)

'/-/

¦; j = M - \..., \\(2.43)

Lj=Vj., + W; j = M - \., 1; (2.44)

Z, o=W (2.45)

In blocks 6, 7, 8, 9, 10 mass balances pay off: the Block 6. The equations of mass balances of 1 section In situ pay off.

In calculation of mass balances the central role is played by parities (-),

d,

(-) and (With//= 1 + - ^); with which help the convergence method d, d is realised,

The condenser (full)

AN+U = ^ - (2.46)

Syy (cJy.l,-l) + - ^-co., (l-Ey); =l... m-l.

C7,

(2.56)

The block 9. The equations of mass balances of IV section In situ pay off

50

(2.57)

; j = m..., t;

JJI

Lf

(2.58)

Wf, = (-?) = EySy/

, (0n

+ AY/, (1-Eu);

(2.59)

The block 10. The equations of mass balances III In situ pay off sek -

-\JFU + ° Fli

d/d-.

^ TH, 1+А. + |, (1?

¦; y =/-/..., *7; (2.69)

ZHmG (! ^) = a, w> / + l + (f? 2i> ^;

. / = ^? f

(2.71)

-7-1

CO:

Жг+и +

+

*>, - «>, ¦ 1 TO

(2.72)

CO;

V;

7-1

K/-2

^./*

¦ f

j |, a ^2/H VFli + lF2i

CO, -

CO:

\-^ - (\-Ej_x)

V-2

; j=t+3..., f. (2.73)

I.Shodimost's block

L "

F-z,

-D=0;

(2.74)

a. a. UJ. a,

52

a.

II

Z -

1 + 0. (^). + в1 (% + 01Л (^)

¦

With

»,-. (->

¦; / =/>!...,/-2;

(2.86)

TO,-1) 4

LN/

¦; at =/-1..., L ^-1;

(2.87)

4

* =1

(2.88)

AT OX - KOI - Xoil

(2.89)

Yj (=; j = \..., t,

Z *Уу* Wk k =\

(2.90)

With d ¦ UL = \', 7 »frl..., N;

Z

## More on topic 2.2 Working out of the program «POLIFUN" for modelling of process of rectification:

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