## Figure 7.16 (page 383):

### Dimensionless concentration versus radius for different values of the Biot number; first-order reaction in a spherical pellet with \Phi =1.

## Code for Figure 7.16

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.
%phi = [0.001,0.01,0.1,1,10];
phi = [1];
%Binv = [10^8];
Binv = [0, 0.5, 2, 10];
small=1e-6;
npts = 100;
r = linspace(small,3,npts)';
tmp = r;
%
% vary phi, hold B constant
%
% for k=1:length(phi)
% ca = 3 ./r .* sinh( phi(k)*r ) / ...
% (sinh(3*phi(k)) + Binv*(phi(k)*cosh(3*phi(k))-1/3*sinh(3*phi(k)) ));
% tmp = [tmp ca];
% end
%
% vary B, hold phi constant
%
for k=1:length(Binv)
ca = 3 ./r .* sinh( phi*r ) / ...
(sinh(3*phi) + Binv(k)*(phi*cosh(3*phi)-1/3*sinh(3*phi) ));
tmp = [tmp ca];
end
plot (tmp(:,1), tmp(:,2:length(Binv)+1));
title ('Figure 7.16')