Figure 6.10 (page 296):

Rates of heat generation and removal for \tau =1.79min.

Code for Figure 6.10

Text of the GNU GPL.

main.m

%% 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.

global k_m T_m E c_Af c_A C_ps T_f DeltaH_R U T_a
%
%
% compute the van Heerden diagram showing heat generation and heat
% removal to explain steady-state multiplicity
% jbr, 4/1/98
%
% units are kmol, min, kJ, K, m^3
%
%
k_m      = 0.001;
T_m      = 298;
E        = 8000;
c_Af     = 2;
C_p      = 4;
rho      = 1000;
C_ps     = rho*C_p;
T_f      = 298;
T_a      = T_f;
DeltaH_R = -3e5;
U        = 0;
%
% limit cycle parameters
%
%k_0      = 4.48e17;
%E        = 15000;
%c_Af     = 3;
%C_ps     = 4.19e3;
%T_f      = 298;
%T_a      = T_f;
%DeltaH_R = -1.571e5;
%U        = 6.029;
%theta    = 2085;

theta= 1.79;
nTs = 50;
T_vec = linspace(275, 500, nTs)';
Qremoval = C_ps/theta*(T_vec - T_f);
k        = k_m*exp(-E*(1./T_vec - 1/T_m));
Qgenerated = k./(1+k*theta)*c_Af*(-DeltaH_R);

table = [T_vec Qremoval Qgenerated];


save -ascii vanheerden_3.dat table;

plot (table(:,1),table(:,2:3));
title ('Figure 6.10')