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%-----------------------------------------------------------------------
% Example 3.9.1: Chemical Absorption Transients
%-----------------------------------------------------------------------
clear
n = 4; % number of stages
a = 0.72; % slope
K = 1.63; % gas to liquid ratio
tau = 1.86; % stage liquid residence time
delta = a*K; % stripping factor
p = 1; % decay percentage
T = zeros (n,1); % decay times
lambda = zeros(n,1); % eigenvalues
A = zeros (n,n);
% Initialize A
fprintf ('Example 3.9.1: Chemical Absorption Transients\n');
for i = 1 : n
A(i,i) = -(1 + delta);
if i < n
A(i,i+1) = 1;
A(i+1,i) = delta;
end
end
show ('A',A);
% Find eigenvalues and decay times
lambda = eig (A);
show ('lambda',lambda)
t = abs(trace(A) - sum(lambda));
show ('Trace check',t)
for i = 1 : n
T(i) = (log(p/100))/real(lambda(i));
end
show ('T (sec)',T)
%-----------------------------------------------------------------------
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