porousplatecat_1ord.m

matlab在化学工程中的应用实例程序,对大家研究学习有指导作用。

function PorousPlateCat_1Ord
% 片状催化剂中的一级不可逆等温反应的模拟计算
% Diffusion with Simultaneous Reaction in a porous plate catalyst pellet
%
%   Author: HUANG Huajiang
%   Copyright 2003 UNILAB Research Center, 
%   East China University of Science and Technology, Shanghai, PRC
%   $Revision: 1.0 $  $Date: 2003/05/28 $

clear all
clc

global fai

fai = 6;        % Thiele模数
a = 0;
b = 1;

% 求解ODE-BVP问题
% initialize of solution with a guess of y1(x)=0, y2(x)=0 
solinit = bvpinit(linspace(a,b,100),[0 0]);
sol = bvp4c(@ODEs,@BCfun,solinit);

% 绘制浓度分布图
plot(sol.x,sol.y(1,:),'b-')
xlabel('Dimensionless Thickness')
ylabel('Dimensionless Concentration')

% 计算催化剂的有效因子
eta = quadl(@IntFunc,a,b,[],[],sol.x,sol.y(1,:))
fprintf('\t催化剂的有效因子为: η= %.4f',eta)

% ------------------------------------------------------------------
function dydx = ODEs(x,y)
global fai
dydx = [y(2); fai^2*y(1)];

% ------------------------------------------------------------------
function bc = BCfun(ya,yb)
bc = [yb(1)-1; ya(2)];

% ------------------------------------------------------------------
function f = IntFunc(x,xi,yi)
f = spline(xi,yi,x);