Figure 8.8:

RTD p(\theta ) versus \theta for n CSTRs in series, \tau =2.

Code for Figure 8.8

Text of the GNU GPL.

main.m

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% Copyright (C) 2001, James B. Rawlings and John G. Ekerdt
%
% This program is free software; you can redistribute it and/or
% modify it under the terms of the GNU General Public License as
% published by the Free Software Foundation; either version 2, or (at
% your option) any later version.
%
% This program is distributed in the hope that it will be useful, but
% WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
% General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; see the file COPYING.  If not, write to
% the Free Software Foundation, 59 Temple Place - Suite 330, Boston,
% MA 02111-1307, USA.

x = linspace(0,5,200)';
tau = 2;
ns = [1 2 3 5 10 25 100];

for i = 1:length(ns)
    n = ns(i);
    P(:,i) = gammainc(n/tau*x,n);
    % p(:,i) = n^n/gamma(n)*x.^(n-1)/tau^n.*exp(-n*x/tau);
    logp = -gammaln(n) + n*log(n/tau) + (n-1)*log(x) - n*x/tau;
    p(:,i) = exp(logp);
end

ptable = [x p];
Ptable = [x P];

%save -ascii ncstrspdens.dat ptable;
save ncstrspdens.dat ptable;

if (~ strcmp (getenv ('OMIT_PLOTS'), 'true')) % PLOTTING
    plot (ptable(:,1), ptable(:,2:end));
    % TITLE
end % PLOTTING