📄 pltfigofequil.m
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function PltFigOfEquil
%PltFigOfEquil.m n
%用图解法求二元物连续精馏所需的理论板数
%Authou:LI ZiGuang
%Date:2005/3/31
clear all;clc
global y
global Locat %Locat:进料板的位置
global BanOfRect %BanOfRect:精馏段板数
global BanOfRas %BanOfRas:提馏段板数
global BanOfTotal %BanOfTotal:总的塔板数
%已知的参数
xd = 0.95 %塔顶馏出物中轻组分的摩尔分数
xw = 0.05 %塔底馏出物中轻组分的摩尔分数
xf = 0.55 %进料中轻组分的摩尔分数
R = 1.25 %全塔回流比
q = 1 %进料的热状况参数
%用equilib函数(相平衡方程)求出一系列汽液平衡数据
for i = 1:11
y = 0.1*(i-1)
ye(i) = 0.1*(i-1)
xe(i) = fzero(@equilib,0.5)
end
%求出精馏段操作线与进料线的交点
yi=(xf+xd*q/R)/(1+q/R)
xi=(-(q-1)*(1-R/(R+1))*xd-xf)/((q-1)*R/(R+1)-q)
%-------------------------------------------------------------------
%求出所有折线与相平衡线、精馏操作线、提馏操作线的交点
i = 1
xp(1) = xd
yp(1) = xd
y = xd
slope = (yi-xw)/(xi-xw)
constant = xw-slope*xw
while xp(i)>xi
xp(i+1) = fzero(@equilib,0.5)
yp(i+1) = (R*xp(i+1))/(1+R)+xd/(1+R)
y = yp(i+1)
i = i+1
end
Locat = i-1
BanOfRect = i-1
yp(i) = slope*xp(i)+constant
y = yp(i)
while xp(i)>xw
xp(i+1) = fzero(@equilib,0.5)
yp(i+1) = slope*xp(i+1)+constant
y = yp(i+1)
i = i+1
end
BanOfRas = i-2-BanOfRect
BanOfTotal = i-2
%-----------------------------------------------------------------------
%---------------------------------------------------------------——————
%绘图
figure(1); hold on; axis([0 1 0 1]);axis('square')
xlabel('x'); ylabel('y'); title('正戊烷-正己烷二元精馏塔的理论塔板数')
set(line([0 1],[0 1]),'Color',[0 1 0]) %画对角线
plot(xe,ye,'b') %画相平衡线
set(line([xi xd],[yi xd]),'Color',[1 0 1]) %画精馏操作线
set(line([xf,xi],[xf,yi]),'Color',[1 0 1]) %画进料线
set(line([xw xi],[xw yi]),'Color',[1 0 1]) %画提馏操作线
for ii = 1:1:(i-1) %%%%%%%%%%%%%%%
set(line([xp(ii) xp(ii+1)],[yp(ii) yp(ii)]),'Color',[0 0 1]) % 绘制折线 %
if xp(ii+1)<xw
break
end
set(line([xp(ii+1) xp(ii+1)],[yp(ii) yp(ii+1)]),'Color',[0 0 1]) % %%%%%%%%%%%%%
end
%------------------------------------------------------------------------
%输出结果
disp('计算结果:')
fprintf('进料口的位置:%s%d%s\n','在第',Locat,'块塔板处')
fprintf('精馏段所需塔板数:%d%s\n',BanOfRect,'(块)')
fprintf('提馏段所需塔板数:%d%s\n',BanOfRas,'(块)')
fprintf('所需塔板总数:%d%s\n',BanOfTotal,'(块)')
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